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Directional change and windup phenomena in LQR-controlled systems with actuator failure

Dariusz Horla

Archives of Electrical Engineering | 2018 | vol. 67 | No 2 | DOI: 10.24425/119645

Keywords directional change windup phenomenon actuator failure

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Abstract

The paper presents a phenomenon of directional change in the case of a LQR controller applied to multivariable plants with amplitude and rate constraints imposed on the control vector, as well as the impact of the latter on control performance, with the indirect observation of the windup phenomenon effect via frequency of consecutive resat- urations. The interplay of directional change of the computed control vector with control performance has been thoroughly investigated, and it is a result of the presence of con- straints imposed on the applied control vector for different ratios of the number of control inputs to plant outputs. The impact of the directional change phenomenon on the control performance (and also on the windup phenomenon) has been defined, stating that performance deterioration is not tightly coupled with preservation of direction of the computed control vector. This conjecture has been supported by numerous simulation results for different types of plants with different LQR controller parameters.

Authors and Affiliations

Dariusz Horla

Standalone brushless motor module optimized for legged robots

Piotr Wasilewski Rafał Gradzki

Bulletin of the Polish Academy of Sciences Technical Sciences | 2022 | 70 | 3 | e141008 | DOI: 10.24425/bpasts.2022.141008

Keywords brushless motor quadruped robot actuator module

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Abstract

The main focus of the article is an advanced actuator, designed and optimized for small dynamic legged robots. The presented actuator prototype is unique, as the market lacks similar solutions when dimensions and weight of the module are considered. The actuator has a modular structure, which makes it easy to replace in case of malfunction and simplifies the overall structure of the robot. High torque bandwidth, achieved by the module, is crucial to agile locomotion, obstacle avoidance and push recovery of the quadrupedal robot. The Authors have conducted a solution review aimed at similar small-size modules. It was found that there are no advanced actuators suitable for sub 5 kg quadruped robots. The unique design presented in this paper is described in all three aspects: mechanical, electrical and software. The mechanical section depicts the solutions implemented in the module, especially the low gear ratio gearbox. The custom brushless motor driver is presented in the electrical section, together with detailed diagrams and hardware descriptions. The last section depicts solutions implemented in the software, the main motor control algorithm and auxiliary modules such as automatic motor parameter identification and encoder misalignment correction. Tests performed in the last part of this paper validated the design goals established for the actuator. The results confirmed the high torque capability and exhibited the motor saturation region. Continuous and peak torque were measured based on the thermal characteristics of the module. Moreover, the automatic motor parameter identification process carried out by the controller itself was validated by manual measurements.

Authors and Affiliations

Piotr Wasilewski

1

Rafał Gradzki

2

e-mail:

ORCID:

Bialystok University of Technology, Faculty of Electrical Engineering, Wiejska 45D, 15-351 Bialystok, Poland
Bialystok University of Technology, Faculty of Mechanical Engineering, Department of Robotics and Mechatronics, Wiejska 45C, 15-351, Bialystok, Poland

Flywheel proof mass actuator for active vibration control

Aleksander Kras Paolo Gardonio

Bulletin of the Polish Academy of Sciences Technical Sciences | 2023 | 71 | 3 | e144605 | DOI: 10.24425/bpasts.2023.144605

Keywords inerter proof mass actuator velocity feedback

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Abstract

This paper presents the experimental results of a new proof mass actuator for the implementation of velocity feedback control loops to reduce the flexural vibration of a thin plate structure. Classical proof mass actuators are formed by coil–magnet linear motors. These actuators can generate constant force at frequencies above the fundamental resonance frequency of the spring–magnet system, which can be used to efficiently implement point velocity feedback control loops. However, the dynamics of the spring–magnet system limit the stability and control performance of the loops when the actuators are exposed to shocks. The proof mass actuator investigated in this paper includes an additional flywheel element that improves the stability of the velocity feedback loop both by increasing the feedback gain margin and by reducing the fundamental resonance frequency of the actuator. This paper is focused on the stability and control performance of decentralized velocity feedback control loops.

Authors and Affiliations

Aleksander Kras

1

e-mail:

ORCID:

Paolo Gardonio

2

e-mail:

ORCID:

Silencions, Bierutowska 57-59, 51-315 Wrocław, Poland
DPIA, Università di Udine, Via delle Scienze 206, 33100, Udine, Italy

FEM analysis of beam vibrations control using piezoelectric transducers and a RLC shunt circuit

Roman Filipek Jerzy Wiciak

Archive of Mechanical Engineering | 2006 | vol. 53 | No 1 | 5-21

Keywords piezoelectric actuators shunt damping finite element analysis

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Abstract

Structural vibration damping via piezoelectric shunt circuits has received a great deal of attention recently as they are light, easy to use and provide for good vibration damping performance. This study investigates vibration damping of a clamped-free beam under harmonic excitations in the steady state. The damping control strategy utilises the piezoelectric properties of PZT materials and a shunt circuit consisting of series RLC elements in parallel configuration. The analysis was made for the first mode frequency and, at the same time, for the four resonance frequencies.

Authors and Affiliations

Roman Filipek

Jerzy Wiciak

An Active Functionally Graded Piezocomposite Plate Subjected to a Stochastic Pressure

Marek Pietrzakowski

Archives of Acoustics | 2015 | vol. 40 | No 1 | 101-108 | DOI: 10.1515/aoa-2015-0012

Keywords laminated plate piezoceramic control functionally graded actuator stochastic pressure

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Abstract

In the paper the analysis of random vibration of an actively damped laminated plate with functionally graded piezoelectric actuator layers is presented. The simply supported plate is subjected to stochastic loading represented by a uniformly distributed pressure. The random input is assumed as a Gaussian sta- tionary and ergodic process. The actuators are regarded as a multi-layer structure arranged of piezofiber composite sub-layers. The sub-layers differ each other with amount of PZT (lead-zirconate-titanate) fibers and are stacked to achieve a desired change of the PZT volume fraction through the actuator thickness. The gradation scheme of constituents and material properties are estimated by parabolic and power functions. Numerical simulations are performed to recognize the influence of the applied random excita- tions and the actuator properties gradations on the characteristics of the stochastic field of active plate deflection i.e. power spectral density, autocorrelation function and variance

Authors and Affiliations

Marek Pietrzakowski

Impact on force decrease at the end of actuator plunger motion

Mykhaylo Zagirnyak Yurii Branspiz Andrii Pshenychnyi Damijan Miljavec

Archives of Electrical Engineering | 2011 | vol. 60 | No 2 June | 129-135 | DOI: 10.2478/v10171-011-0012-9

Keywords actuator geometry optimization finite element method magnetic force damper

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Abstract

It is shown that decrease and damping of the traction force at the end of the plunger move is possible not only due to application of a special keeper design, but also due to change of the plunger shank geometric form. The computer modeling with the use of finite element method is used to analyze the influence of system geometry on force distribution along plunger movement. The damping effect is confirmed when special shape plunger shanks are used.

Authors and Affiliations

Mykhaylo Zagirnyak

Yurii Branspiz

Andrii Pshenychnyi

Damijan Miljavec

Fast optimal feedback controller for electric linear actuator used in spreading systems of road spreaders

D. Dobrowolski J. Dobrowolski W. Piekarska S. Stępień

Bulletin of the Polish Academy of Sciences Technical Sciences | 2019 | 67 | No. 6 | 1041-1047 | DOI: 10.24425/bpasts.2019.131569

Keywords linear electric actuator nonlinear modelling optimal feedback control

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Abstract

Modern and innovative road spreaders are now equipped with a special swiveling mechanism of the spreading disc. It allows for adjusting a symmetrical or asymmetrical spreading pattern and provides for the possibility to maintain the size of the spreading surface and achieve an accurately defined spreading pattern with spreading widths. Thus the paper presents a modelling and control design methodology, and the concept is proposed to design high-performance and optimal drive systems for spreading devices. The paper deals with a nonlinear model of an electric linear actuator and solution of the new intelligent/optimal control problem for the actuator.

Authors and Affiliations

D. Dobrowolski

J. Dobrowolski

W. Piekarska

S. Stępień

The reverse task of discrete mechatronic vibration systems with negative stiffness and capacitance elements

Katarzyna Białas Andrzej Buchacz Damian Gałęziowski

Archive of Mechanical Engineering | 2015 | vol. 62 | No 2 | 145-155 | DOI: 10.1515/meceng-2015-0009

Keywords reverse task vibration negative stiffness negative capacitance piezo actuator

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Abstract

By the use of different distribution methods of dynamical characteristics in the form of slowness function, mechatronic discrete systems have been synthesized. Each model consists of mechanical discrete part and a piezostack actuator connected to LxRxCx external network that has to comply with dynamical requirements in the form of poles and zeros. External network can work within different configurations. In this paper, one investigates the influence of negative parameters of stiffness in mechanical replacement models and capacitance in final mechatronic structures, after dimensionless transformations and retransformations.

Bibliography

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[2] K. Tanaka and I. Ushiyama. Thermodynamic performance analysis of gas turbine power plants with intercooler: 1st report, Theory of intercooling and performance of intercooling type gas turbine. Bulletin of JSME, 13(64):1210–1231, 1970. doi: 10.1299/jsme1958.13.1210.
[3] H.M. Kwon, T.S. Kim, J.L. Sohn, and D.W. Kang. Performance improvement of gas turbine combined cycle power plant by dual cooling of the inlet air and turbine coolant using an absorption chiller. Energy, 163:1050–1061, 2018. doi: 10.1016/j.energy.2018.08.191.
[4] A.T. Baheta and S.I.-U.-H. Gilani. The effect of ambient temperature on a gas turbine performance in part load operation. AIP Conference Proceedings, 1440:889–893, 2012. doi: 10.1063/1.4704300.
[5] F.R. Pance Arrieta and E.E. Silva Lora. Influence of ambient temperature on combined-cycle power-plant performance. Applied Energy, 80(3):261–272, 2005. doi: 10.1016/j.apenergy.2004.04.007.
[6] M. Ameri and P. Ahmadi. The study of ambient temperature effects on exergy losses of a heat recovery steam generator. In: Cen, K., Chi, Y., Wang, F. (eds) Challenges of Power Engineering and Environment. Springer, Berlin, Heidelberg, 2007. doi: 10.1007/978-3-540-76694-0_9.
[7] M.A.A. Alfellag: Parametric investigation of a modified gas turbine power plant. Thermal Science and Engineering Progress, 3:141–149, 2017. doi: 10.1016/j.tsep.2017.07.004.
[8] J.H. Horlock and W.A. Woods. Determination of the optimum performance of gas turbines. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 214:243–255, 2000. doi: 10.1243/0954406001522930.
[9] L. Battisti, R. Fedrizzi, and G. Cerri. Novel technology for gas turbine blade effusion cooling. In: Proceedings of the ASME Turbo Expo 2006: Power for Land, Sea, and Air. Volume 3: Heat Transfer, Parts A and B. pages 491–501. Barcelona, Spain. May 8–11, 2006. doi: 10.1115/GT2006-90516.
[10] F.J. Wang and J.S. Chiou. Integration of steam injection and inlet air cooling for a gas turbine generation system. Energy Conversion and Management, 45(1):15–26, 2004. doi: 10.1016/S0196-8904 (03)00125-0.
[11] Z. Wang. 1.23 Energy and air pollution. In I. Dincer (ed.): Comprehensive Energy Systems, pp. 909–949. Elsevier, 2018. doi: 10.1016/B978-0-12-809597-3.00127-9.
[12] Z. Khorshidi, N.H. Florin, M.T. Ho, and D.E. Wiley. Techno-economic evaluation of co-firing biomass gas with natural gas in existing NGCC plants with and without CO$_2$ capture. International Journal of Greenhouse Gas Control, 49:343–363, 2016. doi: 10.1016/j.ijggc.2016.03.007.
[13] K. Mohammadi, M. Saghafifar, and J.G. McGowan. Thermo-economic evaluation of modifications to a gas power plant with an air bottoming combined cycle. Energy Conversion and Management, 172:619–644, 2018. doi: 10.1016/j.enconman.2018.07.038.
[14] S. Mohtaram, J. Lin, W. Chen, and M.A. Nikbakht. Evaluating the effect of ammonia-water dilution pressure and its density on thermodynamic performance of combined cycles by the energy-exergy analysis approach. Mechanika, 23(2):18110, 2017. doi: 10.5755/j01.mech.23.2.18110.
[15] M. Maheshwari and O. Singh. Comparative evaluation of different combined cycle configurations having simple gas turbine, steam turbine and ammonia water turbine. Energy, 168:1217–1236, 2019. doi: 10.1016/j.energy.2018.12.008.
[16] A. Khaliq and S.C. Kaushik. Second-law based thermodynamic analysis of Brayton/Rankine combined power cycle with reheat. Applied Energy, 78(2):179–197, 2004. doi: 10.1016/j.apenergy.2003.08.002.
[17] M. Aliyu, A.B. AlQudaihi, S.A.M. Said, and M.A. Habib. Energy, exergy and parametric analysis of a combined cycle power plant. Thermal Science and Engineering Progress. 15:100450, 2020. doi: 10.1016/j.tsep.2019.100450.
[18] M.N. Khan, T.A. Alkanhal, J. Majdoubi, and I. Tlili. Performance enhancement of regenerative gas turbine: air bottoming combined cycle using bypass valve and heat exchanger—energy and exergy analysis. Journal of Thermal Analysis and Calorimetry. 144:821–834, 2021. doi: 10.1007/s10973-020-09550-w.
[19] F. Rueda Martínez, A. Rueda Martínez, A. Toleda Velazquez, P. Quinto Diez, G. Tolentino Eslava, and J. Abugaber Francis. Evaluation of the gas turbine inlet temperature with relation to the excess air. Energy and Power Engineering, 3(4):517–524, 2011. doi: 10.4236/epe.2011.34063.
[20] A.K. Mohapatra and R. Sanjay. Exergetic evaluation of gas-turbine based combined cycle system with vapor absorption inlet cooling. Applied Thermal Engineering, 136:431–443, 2018. doi: 10.1016/j.applthermaleng.2018.03.023.
[21] A.A. Alsairafi. Effects of ambient conditions on the thermodynamic performance of hybrid nuclear-combined cycle power plant. International Journal of Energy Research, 37(3):211–227, 2013. doi: 10.1002/er.1901.
[22] A.K. Tiwari, M.M. Hasan, and M. Islam. Effect of ambient temperature on the performance of a combined cycle power plant. Transactions of the Canadian Society for Mechanical Engineering, 37(4):1177–1188, 2013. doi: 10.1139/tcsme-2013-0099.
[23] T.K. Ibrahim, M.M. Rahman, and A.N. Abdalla. Gas turbine configuration for improving the performance of combined cycle power plant. Procedia Engineering, 15:4216–4223, 2011. doi: 10.1016/j.proeng.2011.08.791.
[24] M.N. Khan and I. Tlili. New advancement of high performance for a combined cycle power plant: Thermodynamic analysis. Case Studies in Thermal Engineering. 12:166–175, 2018. doi: 10.1016/j.csite.2018.04.001.
[25] S.Y. Ebaid and Q.Z. Al-hamdan. Thermodynamic analysis of different configurations of combined cycle power plants. Mechanical Engineering Research. 5(2):89–113, 2015. doi: 10.5539/mer.v5n2p89.
[26] R. Teflissi and A. Ataei. Effect of temperature and gas flow on the efficiency of an air bottoming cycle. Journal of Renewable and Sustainable Energy, 5(2):021409, 2013. doi: 10.1063/1.4798486.
[27] A.A. Bazmi, G. Zahedi, and H. Hashim. Design of decentralized biopower generation and distribution system for developing countries. Journal of Cleaner Production, 86:209–220, 2015. doi: 10.1016/j.jclepro.2014.08.084.
[28] A.I. Chatzimouratidis and P.A. Pilavachi. Decision support systems for power plants impact on the living standard. Energy Conversion and Management, 64:182–198, 2012. doi: 10.1016/j.enconman.2012.05.006.
[29] T.K. Ibrahim, F. Basrawi, O.I. Awad, A.N. Abdullah, G. Najafi, R. Mamat, and F.Y. Hagos. Thermal performance of gas turbine power plant based on exergy analysis. Applied Thermal Engineering, 115:977–985, 2017. doi: 10.1016/j.applthermaleng.2017.01.032.
[30] M. Ghazikhani, I. Khazaee, and E. Abdekhodaie. Exergy analysis of gas turbine with air bottoming cycle. Energy, 72:599–607, 2014. doi: 10.1016/j.energy.2014.05.085.
[31] M.N. Khan, I. Tlili, and W.A. Khan. thermodynamic optimization of new combined gas/steam power cycles with HRSG and heat exchanger. Arabian Journal for Science and Engineering, 42:4547–4558, 2017. doi: 10.1007/s13369-017-2549-4.
[32] N. Abdelhafidi, İ.H. Yılmaz, and N.E.I. Bachari. An innovative dynamic model for an integrated solar combined cycle power plant under off-design conditions. Energy Conversion and Management, 220:113066, 2020. doi: 10.1016/j.enconman.2020.113066.
[33] T.K. Ibrahim, M.K. Mohammed, O.I. Awad, M.M. Rahman, G. Najafi, F. Basrawi, A.N. Abd Alla, and R. Mamat. The optimum performance of the combined cycle power plant: A comprehensive review. Renewable and Sustainable Energy Reviews, 79:459–474, 2017. doi: 10.1016/j.rser.2017.05.060.
[34] M.N. Khan. Energy and exergy analyses of regenerative gas turbine air-bottoming combined cycle: optimum performance. Arabian Journal for Science and Engineering, 45:5895–5905, 2020. doi: 10.1007/s13369-020-04600-9.
[35] A.M. Alklaibi, M.N. Khan, and W.A. Khan. Thermodynamic analysis of gas turbine with air bottoming cycle. Energy, 107:603–611, 2016. doi: 10.1016/j.energy.2016.04.055.
[36] M. Ghazikhani, M. Passandideh-Fard, and M. Mousavi. Two new high-performance cycles for gas turbine with air bottoming. Energy, 36(1):294–304, 2011. doi: 10.1016/j.energy.2010.10.040.
[37] M.N. Khan and I. Tlili. Innovative thermodynamic parametric investigation of gas and steam bottoming cycles with heat exchanger and heat recovery steam generator: Energy and exergy analysis. Energy Reports, 4:497–506, 2018. doi: 10.1016/j.egyr.2018.07.007.
[38] M.N. Khan and I. Tlili. Performance enhancement of a combined cycle using heat exchanger bypass control: A thermodynamic investigation. Journal of Cleaner Production, 192:443–452, 2018. doi: 10.1016/j.jclepro.2018.04.272.
[39] M. Korobitsyn. Industrial applications of the air bottoming cycle. Energy Conversion and Management, 43(9-12):1311–1322, 2002. doi: 10.1016/S0196-8904(02)00017-1.
[40] T.K. Ibrahim and M.M. Rahman. optimum performance improvements of the combined cycle based on an intercooler–reheated gas turbine. Journal of Energy Resources Technology, 137(6):061601, 2015. doi: 10.1115/1.4030447.

Authors and Affiliations

Katarzyna Białas

Andrzej Buchacz

Damian Gałęziowski

Design and application of compliant mini-grippers for handling chemicals

Daniel Lates Simona Noveanu Csibi Vencel

Archive of Mechanical Engineering | 2015 | vol. 62 | No 2 | 205-216 | DOI: 10.1515/meceng-2015-0012

Keywords compliant mechanism bellows actuator complant mini gripper finite element analysis

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Abstract

In this paper we propose an original configuration of a compliant mini-gripper for handling chemicals. The compliant mini-gripper is 3D modeled and analyzed with finite element method. To use it in a wider range of containers designed for laboratories we made several variants of fasteners. In order to obtain a functional prototype in a scale appropriate to characterize the system, we determined the material properties of the gripper and developed an experimental stand for characterizing the system with mini-gripper. Finally, we compared the movements of the experimental grip, made according to the movement of the bellows type actuator, determined based on, analytical and numerical results.

Bibliography

[1] A. Valera-Medina, A. Giles, D. Pugh, S. Morris, M. Pohl, and A. Ortwein. Investigation of combustion of emulated biogas in a gas turbine test rig. Journal of Thermal Science, 27:331–340, 2018. doi: 10.1007/s11630-018-1024-1.
[2] K. Tanaka and I. Ushiyama. Thermodynamic performance analysis of gas turbine power plants with intercooler: 1st report, Theory of intercooling and performance of intercooling type gas turbine. Bulletin of JSME, 13(64):1210–1231, 1970. doi: 10.1299/jsme1958.13.1210.
[3] H.M. Kwon, T.S. Kim, J.L. Sohn, and D.W. Kang. Performance improvement of gas turbine combined cycle power plant by dual cooling of the inlet air and turbine coolant using an absorption chiller. Energy, 163:1050–1061, 2018. doi: 10.1016/j.energy.2018.08.191.
[4] A.T. Baheta and S.I.-U.-H. Gilani. The effect of ambient temperature on a gas turbine performance in part load operation. AIP Conference Proceedings, 1440:889–893, 2012. doi: 10.1063/1.4704300.
[5] F.R. Pance Arrieta and E.E. Silva Lora. Influence of ambient temperature on combined-cycle power-plant performance. Applied Energy, 80(3):261–272, 2005. doi: 10.1016/j.apenergy.2004.04.007.
[6] M. Ameri and P. Ahmadi. The study of ambient temperature effects on exergy losses of a heat recovery steam generator. In: Cen, K., Chi, Y., Wang, F. (eds) Challenges of Power Engineering and Environment. Springer, Berlin, Heidelberg, 2007. doi: 10.1007/978-3-540-76694-0_9.
[7] M.A.A. Alfellag: Parametric investigation of a modified gas turbine power plant. Thermal Science and Engineering Progress, 3:141–149, 2017. doi: 10.1016/j.tsep.2017.07.004.
[8] J.H. Horlock and W.A. Woods. Determination of the optimum performance of gas turbines. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 214:243–255, 2000. doi: 10.1243/0954406001522930.
[9] L. Battisti, R. Fedrizzi, and G. Cerri. Novel technology for gas turbine blade effusion cooling. In: Proceedings of the ASME Turbo Expo 2006: Power for Land, Sea, and Air. Volume 3: Heat Transfer, Parts A and B. pages 491–501. Barcelona, Spain. May 8–11, 2006. doi: 10.1115/GT2006-90516.
[10] F.J. Wang and J.S. Chiou. Integration of steam injection and inlet air cooling for a gas turbine generation system. Energy Conversion and Management, 45(1):15–26, 2004. doi: 10.1016/S0196-8904 (03)00125-0.
[11] Z. Wang. 1.23 Energy and air pollution. In I. Dincer (ed.): Comprehensive Energy Systems, pp. 909–949. Elsevier, 2018. doi: 10.1016/B978-0-12-809597-3.00127-9.
[12] Z. Khorshidi, N.H. Florin, M.T. Ho, and D.E. Wiley. Techno-economic evaluation of co-firing biomass gas with natural gas in existing NGCC plants with and without CO$_2$ capture. International Journal of Greenhouse Gas Control, 49:343–363, 2016. doi: 10.1016/j.ijggc.2016.03.007.
[13] K. Mohammadi, M. Saghafifar, and J.G. McGowan. Thermo-economic evaluation of modifications to a gas power plant with an air bottoming combined cycle. Energy Conversion and Management, 172:619–644, 2018. doi: 10.1016/j.enconman.2018.07.038.
[14] S. Mohtaram, J. Lin, W. Chen, and M.A. Nikbakht. Evaluating the effect of ammonia-water dilution pressure and its density on thermodynamic performance of combined cycles by the energy-exergy analysis approach. Mechanika, 23(2):18110, 2017. doi: 10.5755/j01.mech.23.2.18110.
[15] M. Maheshwari and O. Singh. Comparative evaluation of different combined cycle configurations having simple gas turbine, steam turbine and ammonia water turbine. Energy, 168:1217–1236, 2019. doi: 10.1016/j.energy.2018.12.008.
[16] A. Khaliq and S.C. Kaushik. Second-law based thermodynamic analysis of Brayton/Rankine combined power cycle with reheat. Applied Energy, 78(2):179–197, 2004. doi: 10.1016/j.apenergy.2003.08.002.
[17] M. Aliyu, A.B. AlQudaihi, S.A.M. Said, and M.A. Habib. Energy, exergy and parametric analysis of a combined cycle power plant. Thermal Science and Engineering Progress. 15:100450, 2020. doi: 10.1016/j.tsep.2019.100450.
[18] M.N. Khan, T.A. Alkanhal, J. Majdoubi, and I. Tlili. Performance enhancement of regenerative gas turbine: air bottoming combined cycle using bypass valve and heat exchanger—energy and exergy analysis. Journal of Thermal Analysis and Calorimetry. 144:821–834, 2021. doi: 10.1007/s10973-020-09550-w.
[19] F. Rueda Martínez, A. Rueda Martínez, A. Toleda Velazquez, P. Quinto Diez, G. Tolentino Eslava, and J. Abugaber Francis. Evaluation of the gas turbine inlet temperature with relation to the excess air. Energy and Power Engineering, 3(4):517–524, 2011. doi: 10.4236/epe.2011.34063.
[20] A.K. Mohapatra and R. Sanjay. Exergetic evaluation of gas-turbine based combined cycle system with vapor absorption inlet cooling. Applied Thermal Engineering, 136:431–443, 2018. doi: 10.1016/j.applthermaleng.2018.03.023.
[21] A.A. Alsairafi. Effects of ambient conditions on the thermodynamic performance of hybrid nuclear-combined cycle power plant. International Journal of Energy Research, 37(3):211–227, 2013. doi: 10.1002/er.1901.
[22] A.K. Tiwari, M.M. Hasan, and M. Islam. Effect of ambient temperature on the performance of a combined cycle power plant. Transactions of the Canadian Society for Mechanical Engineering, 37(4):1177–1188, 2013. doi: 10.1139/tcsme-2013-0099.
[23] T.K. Ibrahim, M.M. Rahman, and A.N. Abdalla. Gas turbine configuration for improving the performance of combined cycle power plant. Procedia Engineering, 15:4216–4223, 2011. doi: 10.1016/j.proeng.2011.08.791.
[24] M.N. Khan and I. Tlili. New advancement of high performance for a combined cycle power plant: Thermodynamic analysis. Case Studies in Thermal Engineering. 12:166–175, 2018. doi: 10.1016/j.csite.2018.04.001.
[25] S.Y. Ebaid and Q.Z. Al-hamdan. Thermodynamic analysis of different configurations of combined cycle power plants. Mechanical Engineering Research. 5(2):89–113, 2015. doi: 10.5539/mer.v5n2p89.
[26] R. Teflissi and A. Ataei. Effect of temperature and gas flow on the efficiency of an air bottoming cycle. Journal of Renewable and Sustainable Energy, 5(2):021409, 2013. doi: 10.1063/1.4798486.
[27] A.A. Bazmi, G. Zahedi, and H. Hashim. Design of decentralized biopower generation and distribution system for developing countries. Journal of Cleaner Production, 86:209–220, 2015. doi: 10.1016/j.jclepro.2014.08.084.
[28] A.I. Chatzimouratidis and P.A. Pilavachi. Decision support systems for power plants impact on the living standard. Energy Conversion and Management, 64:182–198, 2012. doi: 10.1016/j.enconman.2012.05.006.
[29] T.K. Ibrahim, F. Basrawi, O.I. Awad, A.N. Abdullah, G. Najafi, R. Mamat, and F.Y. Hagos. Thermal performance of gas turbine power plant based on exergy analysis. Applied Thermal Engineering, 115:977–985, 2017. doi: 10.1016/j.applthermaleng.2017.01.032.
[30] M. Ghazikhani, I. Khazaee, and E. Abdekhodaie. Exergy analysis of gas turbine with air bottoming cycle. Energy, 72:599–607, 2014. doi: 10.1016/j.energy.2014.05.085.
[31] M.N. Khan, I. Tlili, and W.A. Khan. thermodynamic optimization of new combined gas/steam power cycles with HRSG and heat exchanger. Arabian Journal for Science and Engineering, 42:4547–4558, 2017. doi: 10.1007/s13369-017-2549-4.
[32] N. Abdelhafidi, İ.H. Yılmaz, and N.E.I. Bachari. An innovative dynamic model for an integrated solar combined cycle power plant under off-design conditions. Energy Conversion and Management, 220:113066, 2020. doi: 10.1016/j.enconman.2020.113066.
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Authors and Affiliations

Daniel Lates

Simona Noveanu

Csibi Vencel

Bio inspired salamander robot with Pneu-Net Soft actuators – design and walking gait analysis

Elango Natarajan Kwang Y. Chia Ahmad Athif Mohd Faudzi Wei Hong Lim Chun Kit Ang Ali Jafaari

Bulletin of the Polish Academy of Sciences Technical Sciences | 2021 | 69 | 3 | e137055 | DOI: 10.24425/bpasts.2021.137055

Keywords soft actuator pneumatic network salamander robot hyperelastic parametric study

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Abstract

The research was attempted to mimic the locomotion of the salamander, which is found to be one of the main animals from an evolutionary point of view. The design of the limb and body was started with the parametric studies of pneumatic network (Pneu-Net). Pneu-Net is a pneumatically operated soft actuator that bends when compressed fluid is passed inside the chamber. Finite Element Analysis software, ANSYS, was used to evaluate the height of the chamber, number of chambers and the gap between chambers for both limb and body of the soft mechanism. The parameters were decided based on the force generated by the soft actuators. The assembly of the salamander robot was then exported to MATLAB for simulating the locomotion of the robot in a physical environment. Sine-based controller was used to simulate the robot model and the fastest locomotion of the salamander robot was identified at 1 Hz frequency, 0.3 second of signal delay for limb actuator and negative π phase difference for every contralateral side of the limbs. Shin-Etsu KE-1603, a hyper elastic material, was used to build the salamander robot and a series of experiments were conducted to record the bending angle, the respective generated force in soft actuators and the gait speed of the robot. The developed salamander robot was able to walk at 0.06774 m/s, following an almost identical pattern to the simulation.

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Authors and Affiliations

Elango Natarajan

1

e-mail:

ORCID:

Kwang Y. Chia

1

Ahmad Athif Mohd Faudzi

2

Wei Hong Lim

1

Chun Kit Ang

1

Ali Jafaari

2

Faculty of Engineering, UCSI University, Kuala Lumpur, Malaysia
Center for Artificial Intelligence and Robotics (CAIRO), Universiti Teknologi Malaysia, Kulala Lumpur, Malaysia

Motion tracking of a rigid-flexible link robotic system in an underactuated control mode

Elżbieta Jarzębowska Krzysztof Augustynek Andrzej Urbaś

Bulletin of the Polish Academy of Sciences Technical Sciences | 2023 | 71 | 3 | e144620 | DOI: 10.24425/bpasts.2023.144620

Keywords manipulator actuator failure CoPCoD method optimization

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Abstract

The paper presents its contribution to tracking control design of mechanical systems in underactuated mode conditions, i.e. when the number of actuators is less than the number of possible control inputs. Fully actuated mechanical systems are quite well-researched and controller designs are well-developed for them as well. However, due to costs, weight, design, and performance regimes or due to an actuator failure, the underactuated control mode is required in applications. With the aid of the computational procedure for constrained dynamics (CoPCoD), the constrained dynamics, i.e. the reference motion dynamics, and tracking control in an underactuated mode are designed for an example of a three-link planar manipulator model with rigid and flexible links. A dynamic optimization problem is formulated in the paper to obtain optimal time courses of manipulator joint coordinates in underactuated mode conditions in order to apply them to a manipulator driving links controller.

Authors and Affiliations

Elżbieta Jarzębowska

1

e-mail:

ORCID:

Krzysztof Augustynek

2

Andrzej Urbaś

2

Warsaw University of Technology, Nowowiejska 24, 00-665 Warsaw, Poland
University of Bielsko-Biala, Willowa 2, 43-309 Bielsko-Biala, Poland

Innovative thrust vectoring system with moveable jet vanes integrated with a moveable diffuser – Measurement and analysis of selected nozzle performance parameters

Łukasz Krzysztof Nocoń Marta Grzyb Piotr Szmidt Łukasz Marian Nowakowski

Bulletin of the Polish Academy of Sciences Technical Sciences | 2024 | 72 | 2 | e148444 | DOI: 10.24425/bpasts.2023.148444

Keywords anti-tank missile thrust vectoring control control actuation system experimental testing

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Abstract

The aim of the study described herein was to design, construct and test a demonstrator of a system to control the direction of the resultant thrust vector of a rocket motor to be used in short range anti-tank missiles with a mass of up to 15 kg. The novelty of the system is that the direction of the resultant thrust vector is manipulated by means of moveable jet vanes integrated with a moveable nozzle diffuser through telescopic connectors. The technology demonstrator was built using different materials and different manufacturing processes. The first versions were 3D printed from plastic materials. Minor modifications to the design were made at an early stage. The final version had the main components made of aluminum using CNC machining. The system, with and without jet vanes, was tested on a specially developed test rig equipped with a multi-axis sensor to measure forces and torques. The nozzle performance parameters measured and analyzed in this study were the components of the thrust vector, the moments and the effective vectoring angle. The findings show that the experimental data are in good agreement with the results of earlier simulations and that the demonstrator is fully operational.

Authors and Affiliations

Łukasz Krzysztof Nocoń

1

e-mail:

ORCID:

Marta Grzyb

1

Piotr Szmidt

1

Łukasz Marian Nowakowski

2

Kielce University of Technology, Department of Mechatronics and Armament Engineering, Faculty of Mechatronics and Mechanical Engineering,al. Tysia˛clecia Pan´stwa Polskiego 7, 25-314 Kielce, Poland
Kielce University of Technology, Department of Mechanical Engineering and Metrology, Faculty of Mechatronics and Mechanical Engineering,al. Tysia˛clecia Pan´stwa Polskiego 7, 25-314 Kielce, Poland

Study on the ankle rehabilitation device

Minh Duc Dao Xuan Tuy Tran Dang Phuoc Pham Quoc Anh Ngo Thi Thuy Tram Le

Archive of Mechanical Engineering | 2022 | vol. 69 | No 1 | 147-163 | DOI: 10.24425/ame.2021.139803

Keywords ankle rehabilitation stroke slide mode controller linear actuator

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Abstract

This study developed an ankle rehabilitation device for post-stroke patients. First, the research models and dynamic equations of the device are addressed. Second, the Sliding Mode Controller for the ankle rehabilitation device is designed, and the device's response is simulated on the software MATLAB. Third, the ankle rehabilitation device is successfully manufactured from aluminum and uses linear actuators to emulate dorsiflexion and plantarflexion exercises for humans. The advantages of the device are a simple design, low cost, and mounts onto rehabilitative equipment. The device can operate fast through experiments, has a foot drive mechanism overshoot of 0°, and a maximum angle error of 1°. Moreover, the rehabilitation robot can operate consistently and is comfortable for stroke patients to use. Finally, we will fully develop the device and proceed to clinical implementation.

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Authors and Affiliations

Minh Duc Dao

1

e-mail:

ORCID:

Xuan Tuy Tran

2

Dang Phuoc Pham

1

Quoc Anh Ngo

1

Thi Thuy Tram Le

3

Faculty Technology and Engineering, The Pham Van Dong University, Quang Ngai, Vietnam
Faculty Technology of Mechanical Engineering, The University of Danang – University of Science and Technology, Danang, Vietnam
The Faculty Electronic-Electrical, The Quang Nam College, Quang Nam, Vietnam

Optimal reshaping and stress controlling of double-layer spherical structures under vertical loadings

Ahmed Manguri Najmadeen Saeed Aram Mahmood Javad Katebi Robert Jankowski

Archives of Civil Engineering | 2022 | vol. 68 | No 4 | 591-606 | DOI: 10.24425/ace.2022.143056

Keywords optimization algorithms spherical structures double layers shape and stress control actuator

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Abstract

Architectural structures’ nodal coordinates are significant to shape appearance; vertical overloading causes displacement of the joints resulting in shape distortion. This research aims to reshape the distorted shape of a double-layer spherical numerical model under vertical loadings; meanwhile, the stress in members is kept within the elastic range. Furthermore, an algorithm is designed using the fmincon function to implement as few possible actuators as possible to alter the length of the most active bars. Fmincon function relies on four optimization algorithms: trust-region reflective, active set, Sequential quadratic progra mming (SQP), and interior-point. The fmincon function is subjected to the adjustment technique to search for the minimum number of actuators and optimum actuation. The algorithm excludes inactive actuators in several iterations. In this research, the 21st iteration gave optimum results, using 802 actuators and a total actuation of 1493 mm.MATLAB analyzes the structure before and after adjustment and finds the optimum actuator set. In addition, the optimal actuation found in MATLAB is applied to the modeled structure in MATLAB and SAP2000 to verify MATLAB results.

Authors and Affiliations

Ahmed Manguri

1 2

e-mail:

ORCID:

Najmadeen Saeed

2 3

e-mail:

ORCID:

Aram Mahmood

4

e-mail:

ORCID:

Javad Katebi

4

e-mail:

ORCID:

Robert Jankowski

1

e-mail:

ORCID:

Faculty of Civil and Environmental Engineering, Gdańsk University of Technology, 80-223 Gdańsk, Poland
Civil Engineering Department, University of Raparin, Rania, Kurdistan Region, Iraq
Civil Engineering Department, Tishk International University, Erbil, Kurdistan Region, Iraq
Faculty of Civil Engineering, University of Tabriz, Tabriz, Iran

Study on the relationship between structure and properties of electro-hydraulic positioning actuators

Qiang Li Oleksandr Uzunov

Archive of Mechanical Engineering | 2024 | vol. 71 | No 1 | 87-107 | DOI: 10.24425/ame.2024.149186

Keywords electro-hydraulic positioning actuators property structure relationship positioning methods

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Abstract

In this work, a novel perspective is proposed to develop schematics solutions for electro-hydraulic positioning actuators. The basis of the design approach has been established, which includes: a set of possible desired properties of actuators; a series of defined typical positioning methods; variants of schematic structures; a quantitative assessment method for specific properties based on influencing factors; the quantitative relationship between the structure and properties of actuators, as well as the method for overall evaluation of the actuator's performance based on the total score. The results obtained can serve as the basis for an effective design approach, which allows for reducing the number of iteration cycles while developing new electro-hydraulic positioning actuator schematic solutions.

Authors and Affiliations

Qiang Li

1

e-mail:

ORCID:

Oleksandr Uzunov

1

e-mail:

ORCID:

Department of Fluid Mechanics and Mechatronics, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, Ukraine

Comparison of Formulas Obtained for Analytical and LQ Idea Approaches to Determine the Optimal Actuator Location in Active Multimodal Beam Vibration Reduction

Elżbieta Żołopa Adam Brański

Archives of Acoustics | 2014 | vol. 39 | No 4 | 599-603 | DOI: 10.2478/aoa-2014-0064

Keywords beam actuator active vibration reduction LQ problem system control control of vibration

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Abstract

In this paper an active multimodal beam vibration reduction via one actuator is considered. The optimal actuator distribution is analyzed with two methods: an exact mathematical principles and the LQ problem idea. It turned out that the same mathematical expressions are derived. Thus, these methods are equivalent.

Authors and Affiliations

Elżbieta Żołopa

Adam Brański

Simulators for pilot assisting module of advanced light aircraft concept

Peter Chudy Pawel Rzucidlo

Archive of Mechanical Engineering | 2011 | vol. 58 | No 3 | 275-289 | DOI: 10.2478/v10180-011-0018-2

Keywords light aircraft flight simulator user interface advanced flight control primary control display hardware-in-the-loop electromechanical actuator control laws

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Abstract

This paper presents the results of Pilot Assisting Module research performed on two light aircraft flight simulators developed in parallel at Brno University of Technology, Czech Republic, and Rzeszow University of Technology, Poland. The first simulator was designed as an open platform for the verification and validation of the advanced pilot/aircraft interface systems and inherited its appearance from the cockpit section of the Evektor SportStar. The second flight simulator, the XM-15, has been built around the cockpit of a unique agriculture jet Belfegor. It introduced a system architecture that supports scientific simulations of various aircraft types and configurations, making it suitable for conceptual testing of Pilot Assisting Module. The XM-15 was initially designed to support research on advanced flight control systems, but due to its continuing modernization it evolved into a hardware-in-the-loop test-bed for electromechanical actuators and autopilot CAN based controller blocks. Pilot-in-the-loop experiments of proposed Pilot Assisting Module revealed favorable operational scenarios, under which the proposed system reduces the cockpit workload during single pilot operations.

Authors and Affiliations

Peter Chudy

Pawel Rzucidlo

Pitch and yaw motion control of 2 DoF helicopter subjected to faults using sliding-mode control

M. Raghappriya S. Kanthalakshmi

Archives of Control Sciences | 2022 | vol. 32 | No 2 | 359-381 | DOI: 10.24425/acs.2022.141716

Keywords fault tolerant control sliding mode control reaching law super-twisting sensor actuator and component faults

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Abstract

This paper presents a fault-tolerant control scheme for a 2 DOF helicopter. The 2 DOF helicopter is a higher-order multi-input multi-output system featuring non-linearity, cross-coupling, and unstable behaviour. The impact of sensor, actuator, and component faults on such highly complex systems is enormous. This work employs sliding mode control, which is based on reaching and super-twisting laws, to handle the problem of fault control. Simulation tests are carried out to show the effectiveness of the algorithms. Various performance metrics are analyzed and the results show SMC based on super-twisting law provides better control with less chattering. The stability of the closed-loop system is mathematically assured, in the presence of faults, which is a key contribution of this research.

Authors and Affiliations

M. Raghappriya

1

S. Kanthalakshmi

2

Department of Electronics and Instrumentation Engineering, Government College of Technology, Coimbatore, India
Department of Electrical and Electronics Engineering, PSG College of Technology, Coimbatore, India

PZT Asymmetrical Shape Optimization in Active Vibration Reduction of Triangular Plates

Adam Brański Romuald Kuras

Archives of Acoustics | 2023 | vol. 48 | No 3 | 425-432 | DOI: 10.24425/aoa.2023.145241

Keywords triangular plate actuator (PZT) active vibration reduction vibration reduction coefficient effectiveness coefficient

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Abstract

The article presents the new 2D asymmetrical PZT (a-PZT) and its effectiveness in the active reduction of triangular plate vibrations. The isosceles right triangular plate with simply supported edges was chosen as the research object. To determine the a-PZT asymmetry and its distribution on the plate, a maximum bending moment criterion for the beam was used. First of all, this criterion points out exact center location of the a-PZT. It was at the point, at which the plate bending moment has reached its maximum value. Next, at this point, it was assumed that the piezoelectric consists of active fibers located radially from the center. Each fiber acted on the plate as a separate actuator. Next, at each direction, the actuator asymmetry was found mathematically by minimizing the amplitude of the vibrations. By connecting the outer edges of individual fibers, the 2D a-PZT was obtained. It was quantitatively confirmed that the effectiveness of the new a-PZT was the best compared with the effectiveness of the standard square and the circular PZTs, adding the same exciting energy to the PZTs.

Authors and Affiliations

Adam Brański

1

e-mail:

ORCID:

Romuald Kuras

1

e-mail:

ORCID:

Department of Electrical and Computer Engineering Fundamentals, Rzeszow University of Technology, Rzeszow, Poland

Asymmetrical PZT applied to active reduction of asymmetrically vibrating beam – semi-analytical solution

Adam Brański Romuald Kuras

Archives of Acoustics | 2022 | vol. 47 | No 4 | 555-564 | DOI: 10.24425/aoa.2022.142891

Keywords beam actuator (PZT) active vibration reduction vibration reduction coefficient effectiveness coefficient

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Abstract

The article extended the idea of active vibration reduction of beams with symmetric modes to beams with asymmetric modes. In the case of symmetric modes, the symmetric PZT (s-PZT) was used, and the optimization of the problem led to the location of the s-PZT centre at the point with the greatest beam curvature. In the latter case, the asymmetric modes that occur due to the addition of the point mass cause an asymmetric distribution of the bending moment and transversal displacement of a beam. In this case, the optimal approach to the active vibration reduction requires both new asymmetric PZT (a-PZT) and its new particular distribution on the beam. It has been mathematically determined that the a-PZT asymmetry point (a-point), ought to be placed at the point of maximum beam bending moment. The a-PZT asymmetry was found mathematically by minimizing the amplitude of the vibrations. As a result, it was possible to formulate the criterion of the maximum bending moment of the beam. The numerical calculations confirmed theoretical considerations. So, it was shown that in the case of asymmetric vibrations, the a-PZTs reduced vibrations more efficiently than the s-PZT.

Authors and Affiliations

Adam Brański

1

e-mail:

ORCID:

Romuald Kuras

1

e-mail:

ORCID:

Laboratory of Acoustics, Department of Electrical and Computer Engineering Fundamentals, Rzeszow University of Technology, Rzeszow, Poland

Metrology and control of electromagnetically actuated cantilevers using optical beam deflection method

Daniel Kopiec Wojciech Majstrzyk Bartosz Pruchnik Ewelina Gacka Dominik Badura Andrzej Sierakowski Paweł Janus Teodor Gotszalk

Metrology and Measurement Systems | 2021 | vol. 28 | No 4 | 627-642 | DOI: 10.24425/mms.2021.137698

Keywords optical beam deflection thermomechanical noise low frequency noise electromagnetically actuated cantilever Lorentz force

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Abstract

In this paper, we present metrology and control methods and techniques for electromagnetically actuated microcantilevers. The electromagnetically actuated cantilevers belong to the micro electro mechanical systems (MEMS), which can be used in high resolution force and mass change investigations. In the described experiments, silicon cantilevers with an integrated Lorentz current loop were investigated. The electromagnetically actuated cantilevers were characterized using a modified optical beam deflection (OBD) system, whose architecture was optimized in order to increase its resolution. The sensitivity of the OBD system was calibrated using a reference cantilever, whose spring constant was determined through thermomechanical noise analysis registered interferometrically. The optimized and calibrated OBD system was used to observe the resonance and bidirectional static deflection of the electromagnetically deflected cantilevers. After theoretical analysis and further experiments, it was possible to obtain setup sensitivity equal to 5.28 mV/nm.

Bibliography

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Authors and Affiliations

Daniel Kopiec

1

Wojciech Majstrzyk

2

Bartosz Pruchnik

1

Ewelina Gacka

1

Dominik Badura

1

Andrzej Sierakowski

2

Paweł Janus

2

Teodor Gotszalk

1

Wrocław University of Technology, Faculty of Microsystems Electronics and Photonics, Department of Nanometrology, Janiszewskiego 11/17, Wrocław 50-372, Poland
Łukasiewicz Research Network, Institute of Microelectronics and Fotonics, Lotników 32/46, Warsaw 02-668, Poland

Non-intrusive current-based fault detection of electro-mechanical actuators with brushed DC motors

Ondřej Hanuš Radislav Smid

Metrology and Measurement Systems | 2022 | vol. 29 | No 3 | 505-523 | DOI: 10.24425/mms.2022.140040

Keywords Electro-mechanical Actuator (EMA) Fault Detection and Diagnostics (FDD) jam winding short

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Abstract

This paper proposes data-based fault detection methods for an electromechanical actuator (EMA) with a brushed DC motor. The jam and winding short faults are considered in the study as the most prominent EMA faults. The fault detection is based on evaluating the properties of the motor current, considering the basic electromechanical parameters of EMAs. The main advantages are a non-intrusive approach utilising a commonly accessible motor current measurement, simple configurability, and the ability to detect faults under varying operation modes of EMA, including changes of speed, load, or movement profiles. The proposed methods have been evaluated with a custom testing system, and the results have proven the performance of the proposed approach to detect faults under varying operating conditions in industrial applications.

Authors and Affiliations

Ondřej Hanuš

1

Radislav Smid

1

Czech Technical University in Prague, Faculty of Electrical Engineering, Department of Measurement, Technicka 2,166 27 Prague, Czech Republic

Iterative learning fault-tolerant control for the networked control systems with initial state disturbance

Fu Xingjian Zhao Qianjun

Bulletin of the Polish Academy of Sciences Technical Sciences | 2022 | 70 | 3 | e140934 | DOI: 10.24425/bpasts.2022.140934

Keywords networked control systems initial state disturbance iterative learning actuator failure fault-tolerant control

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Abstract

The iterative learning fault-tolerant control strategies with non-strict repetitive initial state disturbances are studied for the linear discrete networked control systems (NCSs) and the nonlinear discrete NCSs. In order to reduce the influence of the initial state disturbance in iteration, for the linear NCSs, considering the external disturbance and actuator failure, the iterative learning fault-tolerant control strategy with impulse function is proposed. For the nonlinear NCSs, the external disturbance, packet loss and actuator failure are considered, the iterative learning fault-tolerant control strategy with random Bernoulli sequence is provided. Finally, the proposed control strategies are used for simulation research for the linear NCSs and the nonlinear NCSs. The results show that both strategies can reduce the influence of the initial state disturbance on the tracking effect, which verifies the effectiveness of the given method.

Authors and Affiliations

Fu Xingjian

1

Zhao Qianjun

1

School of Automation, Beijing Information Science and Technology University, Beijing 100192, China

Dynamic displacement tracking in viscoelastic solids by actuation stresses: a one-dimensional analytic example involving shock waves

Hans Irschik Michael Krommer

Bulletin of the Polish Academy of Sciences Technical Sciences | 2023 | 71 | 3 | e144616 | DOI: 10.24425/bpasts.2023.144616

Keywords displacement tracking eigenstrains actuation stresses linear viscoelasticity shock waves symbolic computation

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Abstract

A one-dimensional (1D) analytic example for dynamic displacement tracking in linear viscoelastic solids is presented. Displacement tracking is achieved by actuation stresses that are produced by eigenstrains. Our 1D example deals with a viscoelastic half-space under the action of a suddenly applied tensile surface traction. The surface traction induces a uni-axial shock wave that travels into the half-space. Our tracking goal is to add to the applied surface traction a transient spatial distribution of actuation stresses such that the total displacement of the viscoelastic half-space coincides with the shock wave produced by the surface traction in a purely elastic half-space. We particularly consider a half-space made of a viscoelastic Maxwell-type material. Analytic solutions to this tracking problem are derived by means of the symbolic computer code MAPLE. The 1D solution presented below exemplifies a formal 3D solution derived earlier by the present authors for linear viscoelastic solids that are described by Boltzmann hereditary laws. In the latter formal solution, no reference was made to shock waves. Our present solution demonstrates its validity also in the presence of singular wave fronts. Moreover, in our example, we show that, as was also indicated in our earlier work, the actuation stress can be split into two parts, one of them producing no stresses, and the other no displacements in two properly enlarged problems.

Authors and Affiliations

Hans Irschik

1

Michael Krommer

1

e-mail:

ORCID:

Institute of Technical Mechanics, Johannes Kepler University of Linz, Austria

1
2

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