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Comparison of the theoretical load carrying capacity with the experimental data for some thin-walled plates and beams with intermediate stiffeners

Andrzej Teter Zbigniew Kolakowski
Archive of Mechanical Engineering | vol. 48 | No 1 | 29-54
Keywords stiffener buckling plate beam thin-walled structure interactive buckling design code ultimate loud imperfections
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Abstract

In the present paper, an analysis uf lower bound estimation of the load carrying capacity of structures with intermediate stiffeners is undertaken. Thin-walled structures with intermediate stiffeners in the elastic range, being under axial compression and a bending moment, are examined on the basis of the Byskov and Hutchinson's method [4] and the co-operation between all the walls of the considered structures is shown. The structures are assumed to be simply supported at the ends. The study is based on the numerical method 01· the transition matrix using Godunov's orthogonalization [2]. Instead of the finite strip method, the exact transition matrix method is used in this case. In the presented method for lower bound estimation uf the load carrying capacity of structures, it is postulated that the reduced local critical load should be determined taking into account the global pre-critical bending within the first order non-linear approximation to the theory of the interactive buckling of the structure. The results are compared to those obtained from the design code and the data reported by other authors. The present paper is a continuation of papers [9], [ 11], [ 19], where the interactive buckling of thin-walled beam-columns with central intermediate stiffeners in the first and the second order approximation was considered. The most important advantage of this method is that it enables us to describe a complete range of behaviour ot· thin-walled structures from all global (flexural. flexural-torsional, lateral, distortional and their combinations) to local stability. In the solution obtained, the effects of interaction of modes, the transformation of buckling modes with an increase in load, the shear lag phenomenon and also the effect of cross-sectional distortions arc included.
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Authors and Affiliations

Andrzej Teter
Zbigniew Kolakowski

Use of an active element for dynamic control of a thin-walled laminated beam with kinematic excitation

Jarosław Gawryluk Andrzej Mitura Andrzej Teter
Archive of Mechanical Engineering | 2019 | vol. 66 | No 3 | 379-387 | DOI: 10.24425/ame.2019.129681
Keywords proportional control composite beam MFC dynamics FEM
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Abstract

The paper describes the dynamics of a composite cantilever beam with an active element. The vibrations of the kinematically excited beam are controlled with the use of a Macro Fiber Composite actuator. A proportional control algorithm is considered. During the analysis, actuator is powered by a time-varying voltage signal that is changed proportionally to the beam deflection. The MFC element control system with the implemented algorithm allowed for changing the stiffness of the tested structure. This is confirmed by the numerical and experimental results. Resonance curves for the beam with and without control are determined. The results show a very good agreement in qualitative terms.

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Bibliography

[1] R.B.Williams, G. Park, D.J. Inman, and W.K.Wilkie. An overview of composite actuators with piezoceramic fibers. In: Proceedings of 20th International Modal Analysis Conference, Los Angeles, CA, 4–7 February, 2002, SPIE – The International Society for Optical Engineering, 4753:421–427, 2002.
[2] B.W. Lacroix. On the mechanics, computational modeling and design implementation of piezoelectric actuators on micro air vehicles. Ph.D. Thesis, University of Florida, Gainesville, USA, 2013.
[3] T.A. Probst. Evaluating the Aerodynamic Performance of MFC-Actuated Morphing Wings to Control a Small UAV. Masters Thesis, Virginia Polytechnic Institute and State University, Blacksburg, USA, 2012.
[4] M. Borowiec, M. Bochenski, J. Gawryluk, and M. Augustyniak. Analysis of the macro fiber composite characteristics for energy harvesting efficiency. In: Awrejcewicz J., editor, Dynamical Systems: Theoretical and Experimental Analysis, vol. 182 of Springer Proceedings in Mathematics and Statistics Series, pages 27–37, 2016. doi: 10.1007/978-3-319-42408-8_3.
[5] J. Latalski. Modelling of macro fiber composite piezoelectric active elements in ABAQUS system. Eksploatacja i Niezawodność – Maintenance and Reliability, 52(4):72–78, 2011.
[6] A. Teter and J. Gawryluk. Experimental modal analysis of a rotor with active composite blades. Composite Structures, 153:451–467, 2016. doi: 10.1016/j.compstruct.2016.06.013.
[7] J. Gawryluk, A. Mitura, and A. Teter. Influence of the piezoelectric parameters on the dynamics of an active rotor. AIP Conference Proceedings, 1922(100010):1–8, 2018. doi: 10.1063/1.5019095.
[8] A. Mitura, J. Gawryluk, and A. Teter. Numerical and experimental studies on the rotating rotor with three active composite blades. Eksploatacja i Niezawodność – Maintenance and Reliability, 4(19):572–581, 2017. doi: 10.17531/ein.2017.4.11.
[9] J. Gawryluk, A. Mitura, and A. Teter. Dynamic response of a composite beam rotating at constant speed caused by harmonic excitation with MFC actuator. Composite Structures, 210:657–662, 2019. doi: 10.1016/j.compstruct.2018.11.083.
[10] M. Rafiee, F. Nitzsche, and M. Labrosse. Dynamics, vibration and control of rotating composite beams and blades: A critical review. Thin-Walled Structures, 119:795–819, 2017. doi: 10.1016/j.tws.2017.06.018.
[11] R. Alkhatib and M.F. Golnaraghi. Active structural vibration control: a review. The Shock and Vibration Digest, 35(5):367–383, 2003.
[12] P.P. Friedmann. On-blade control of rotor vibration, noise, and performance: just around the corner? Journal of the American Helicopter Society, 59(4):1–37, 2014. doi: 10.4050/JAHS.59.041001.
[13] J.X. Gao and W.H. Liao. Vibration analysis of simply supported beams with enhanced selfsensing active constrained layer damping treatments. Journal of Sound and Vibration, 280(1-2):329–357, 2005. doi: 10.1016/j.jsv.2003.12.019.
[14] J.C. Lin and M.H. Nien. Adaptive control of a composite cantilever beam with piezoelectric damping-modal actuators/sensors. Composite Structures, 70(2):170–176, 2005. doi: 10.1016/j.compstruct.2004.08.020.
[15] H.A. Sodano. Macro-Fiber Composites for Sensing, Actuation and Power Generation. Masters Thesis, Virginia Polytechnic Institute and State University, Blacksburg, USA, 2003.
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Authors and Affiliations

Jarosław Gawryluk
1
Andrzej Mitura
1
Andrzej Teter
1
  1. Department of Applied Mechanics, Mechanical Engineering Faculty, Lublin University of Technology, Lublin, Poland.

Modal analysis of laminated “CAS” and “CUS” box-beams

Jarosław Gawryluk Marcin Bocheński Andrzej Teter
Archive of Mechanical Engineering | 2017 | vol. 64 | No 4 | 441-454 | DOI: 10.1515/meceng-2017-0026
Keywords thin-walled structure composite FEM coupling vibration eigenvalue problem experimental method
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Abstract

In the paper, the authors discuss the numerical and experimental modal analysis of the cantilever thin-walled beams made of a carbon-epoxy laminate. Two types of beams were considered: circumferentially asymmetric stiffness (i.e., CAS) and circumferentially uniform stiffness (i.e., CUS) beams. The layer-up configurations of the laminate were chosen to get a vibration mode coupling effect in both analysed cases. The aim of the paper was to perform the numerical and experimental modal analysis of the composite structures, when a flapwise bending with torsion coupling effect or flapwise-chordwise bending coupling effect took place. Firstly, numerical studies by the finite element method was performed. The numerical simulations were carried out by the Lanczos method in the Abaqus software package. The natural frequencies and the corresponding free vibration modes were determined. Next, the experimental modal analyses of the CAS and CUS beams were performed. The test stand was consisted of a special grip, two beams with an adhered holder, the LMS Scadas III system with a modal hammer and an acceleration sensor. Finally, the results of both methods were compared.

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Authors and Affiliations

Jarosław Gawryluk
Marcin Bocheński
Andrzej Teter

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