Search results

Filters

  • Journals
  • Authors
  • Keywords
  • Date
  • Type

Search results

Number of results: 2
items per page: 25 50 75
Sort by:
Download PDF Download RIS Download Bibtex

Abstract

The problem of optimal design of symmetrical double-lap adhesive joint is considered. It is assumed that the main plate has constant thickness, while the thickness of the doublers can vary along the joint length. The optimization problem consists in finding optimal length of the joint and an optimal cross-section of the doublers, which provide minimum structural mass at given strength constraints. The classical Goland-Reissner model was used to describe the joint stress state. A corresponding system of differential equations with variable coefficients was solved using the finite difference method. Genetic optimization algorithm was used for numerical solution of the optimization problem. In this case, Fourier series were used to describe doubler thickness variation along the joint length. This solution ensures smoothness of the desired function. Two model problems were solved. It is shown that the length and optimal shape of the doubler depend on the design load.
Go to article

Bibliography

[1] L.F.M. da Silva, P.J.C. das Neves, R.D. Adams, and J.K. Spelt. Analytical models of adhesively bonded joints. Part I: Literature survey. International Journal of Adhesion and Adhesives, 29(3):319–330, 2009. doi: 10.1016/j.ijadhadh.2008.06.005.
[2] E.H. Wong and J. Liu. Interface and interconnection stresses in electronic assemblies – A critical review of analytical solutions. Microelectronics Reliability, 79:206–220, 2017. doi: 10.1016/j.microrel.2017.03.010.
[3] S. Budhe, M.D. Banea, S. de Barros, and L.F.M. da Silva. An updated review of adhesively bonded joints in composite materials. International Journal of Adhesion and Adhesives, 72:30–42, 2017. doi: 10.1016/j.ijadhadh.2016.10.010.
[4] K.P. Barakhov and I.M. Taranenko. Influence of joint edge shape on stress distribution in adhesive film. In: M. Nechyporuk, V. Pavlikov, D. Kritskiy (eds) Integrated Computer Technologies in Mechanical Engineering – 2021. ICTM 2021. Lecture Notes in Networks and Systems, 367:123–132, Springer, Cham, 2022. doi: 10.1007/978-3-030-94259-5_12.
[5] H. Lee, S. Seon, S. Park, R. Walallawita, and K. Lee. Effect of the geometric shapes of repair patches on bonding strength. The Journal of Adhesion, 97(3):1–18, 2019. doi: 10.1080/00218464.2019.1649660.
[6] F. Ramezani, M.R. Ayatollahi, A. Akhavan-Safar, and L.F.M. da Silva. A comprehensive experimental study on bi-adhesive single lap joints using DIC technique. International Journal of Adhesion and Adhesives, 102:102674, 2020. doi: 10.1016/j.ijadhadh.2020.102674.
[7] Ya.S. Karpov. Jointing of high-loaded composite structural components. Part 2. Modeling of stress-strain state. Strength of Materials, 38(5):481–491, 2006. doi: 10.1007/s11223-006-0067-9.
[8] J. Kupski and S. Teixeira de Freitas. Design of adhesively bonded lap joints with laminated CFRP adherends: Review, challenges and new opportunities for aerospace structures. Composite Structures, 268:113923, 2021. doi: 10.1016/j.compstruct.2021.113923.
[9] S. Amidi and J. Wang. An analytical model for interfacial stresses in double-lap bonded joints. The Journal of Adhesion, 95(11):1031–1055, 2018. doi: 10.1080/00218464.2018.1464917.
[10] H. Kumazawa and T. Kasahara. Analytical investigation of thermal and mechanical load effects on stress distribution in adhesive layer of double-lap metal-composite bonded joints. Advanced Composite Materials, 28(4):425–444, 2019. doi: 10.1080/09243046.2019.1575028.
[11] S. Kurennov and N. Smetankina. Stress-strain state of a double lap joint of circular form. Axisymmetric model. In: M. Nechyporuk, V. Pavlikov D. Kritskiy (eds) Integrated Computer Technologies in Mechanical Engineering – 2021. ICTM 2021. Lecture Notes in Networks and Systems, 367:36–46, Springer, Cham, 2022. doi: 10.1007/978-3-030-94259-5_4.
[12] S. E. Stapleton, B. Stier, S. Jones, A. Bergan, I. Kaleel, M. Petrolo, E. Carrera, and B.A. Bednarcyk. A critical assessment of design tools for stress analysis of adhesively bonded double lap joints. Mechanics of Advanced Materials and Structures, 28(8):791–811, 2019. doi: 10.1080/15376494.2019.1600768.
[13] R.H. Kaye and M. Heller. Through-thickness shape optimisation of bonded repairs and lap-joints. I nternational Journal of Adhesion and Adhesives, 22(1):7–21, 2002. doi: 10.1016/s0143-7496(01)00029-x.
[14] S. Kurennov, K. Barakhov, I. Taranenko, and V. Stepanenko. A genetic algorithm of optimal design of beam at restricted sagging. Radioelectronic and Computer Systems, 1:83–91, 2022. doi: 10.32620/reks.2022.1.06.
[15] V.S. Symonov, I.S. Karpov, and J. Juračka. Optimization of a panelled smooth composite shell with a closed cross-sectional contour by using a genetic algorithm. Mechanics of Composite Materials, 49(5):563–570, 2013. doi: 10.1007/s11029-013-9372-0.
[16] N.S. Kulkarni, V.K. Tripathi. Variable thickness approach for finding minimum laminate thickness and investigating effect of different design variables on its performance. Archive of Mechanical Engineering, 65(4):527–551, 2018. doi: 10.24425/ame.2018.125441.
[17] H. Ejaz, A. Mubashar, I.A. Ashcroft, E. Uddin, and M. Khan. Topology optimisation of adhesive joints using non-parametric methods. International Journal of Adhesion and Adhesives, 81:1–10, 2018. doi: 10.1016/j.ijadhadh.2017.11.003.
[18] H.L. Groth and P. Nordlund. Shape optimization of bonded joints. International Journal of Adhesion and Adhesives, 11(4):204–212, 1991. doi: 10.1016/0143-7496(91)90002-y.
[19] R.Q. Rodríguez, R. Picelli, P. Sollero, and R. Pavanello. Structural shape optimization of bonded joints using the ESO method and a honeycomb-like mesh. J ournal of Adhesion Science and Technology, 28(14-15):1451–1466, 2014. doi: 10.1080/01694243.2012.698112.
[20] E.G. Arhore, M. Yasaee, and I. Dayyani. Comparison of GA and topology optimization of adherend for adhesively bonded metal composite joints. International Journal of Solids and Structures, 226-227:111078, 2021. doi: 10.1016/j.ijsolstr.2021.111078.
[21] S. Kumar, and de A. de Tejada Alvarez. Modeling of geometrically graded multi-material single-lap joints. 56th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. doi: 10.2514/6.2015-1885.
[22] S.S. Kurennov: Refined mathematical model of the stress state of adhesive lap joint: experimental determination of the adhesive layer strength criterion. Strength of Materials, 52:779–789, 2020. doi: 10.1007/s11223-020-00231-5.
[23] P. Zou, J. Bricker, and W. Uijttewaal. Optimization of submerged floating tunnel cross section based on parametric Bézier curves and hybrid backpropagation – genetic algorithm. Marine Structures, 74:102807, 2020. doi: 10.1016/j.marstruc.2020.102807.
[24] O. Coskun and H.S.Turkmen. Multi-objective optimization of variable stiffness laminated plates modeled using Bézier curves. Composite Structures, 279:114814, 2022. doi: 10.1016/j.compstruct.2021.114814.
[25] S. Kumar and P.C. Pandey. Behaviour of bi-adhesive joints. Journal of Adhesion Science and Technology, 24(7):1251–1281, 2010. doi: 10.1163/016942409x12561252291982.
[26] Ö. Öz and H. Özer. On the von Mises elastic stress evaluations in the bi-adhesive single-lap joint: a numerical and analytical study. Journal of Adhesion Science and Technology, 28(21):2133–2153, 2014. doi: 10.1080/01694243.2014.948110.
[27] E. Selahi. Elasticity solution of adhesive tubular joints in laminated composites with axial symmetry. Archive of Mechanical Engineering, 65(3):441–456, 2018. doi: 10.24425/124491.
[28] K. Barakhov, D. Dvoretska, and O. Poliakov. One-dimensional axisymmetric model of the stress state of the adhesive joint. In: M. Nechyporuk, V. Pavlikov, D. Kritskiy (eds) I ntegrated Computer Technologies in Mechanical Engineering – 2020. ICTM 2020. Lecture Notes in Networks and Systems, 188:310–319, Springer, Cham, 2021. doi: 10.1007/978-3-030-66717-7_26.
[29] S. Kurennov, N. Smetankina, V. Pavlikov, D. Dvoretskaya, V. Radchenko. Mathematical model of the stress state of the antenna radome joint with the load-bearing edging of the skin cutout. In: D.D. Cioboată, (ed.) International Conference on Reliable Systems Engineering (ICoRSE) – 2021. ICoRSE 2021. Lecture Notes in Networks and Systems, 305:287–295, Springer, Cham, 2022. doi: 10.1007/978-3-030-83368-8_28.
Go to article

Authors and Affiliations

Sergei Kurennov
1
ORCID: ORCID
Konstantin Barakhov
1
ORCID: ORCID
Olexander Polyakov
1
ORCID: ORCID
Igor Taranenko
1
ORCID: ORCID

  1. National Aerospace University “Kharkiv Aviation Institute”, Kharkiv, Ukraine
Download PDF Download RIS Download Bibtex

Abstract

Titanium alloys are difficult-to-machine materials due to their complex mechanical and thermophysical properties. An essential factor in ensuring the quality of the machined surface is the analysis and recommendation of vibration processes accompanying cutting. The analytical description of these processes for machining titanium alloys is very complicated due to the complex adiabatic shear phenomena and the specific thermodynamic state of the chip-forming zone. Simulation modeling chip formation rheology in Computer-Aided Forming systems is a practical method for studying these phenomena. However, dynamic research of the cutting process using such techniques is limited because the initial state of the workpiece and tool is a priori assumed to be "rigid", and the damping properties of the fixture and machine elements are not taken into account at all. Therefore, combining the results of analytical modeling of the cutting process dynamics with the results of simulation modeling was the basis for the proposed research methodology. Such symbiosis of different techniques will consider both mechanical and thermodynamic aspects of machining (specific dynamics of cutting forces) and actual conditions of stiffness and damping properties of the “Machine-Fixture-Tool-Workpiece” system.
Go to article

Bibliography

[1] D. Ulutan and T. Ozel. Machining induced surface integrity in titanium and nickel alloys: A review. International Journal of Machine Tools and Manufacture, 51(3):250–280, 2011. doi: 10.1016/j.ijmachtools.2010.11.003.
[2] J.P. Davim (ed.). Machining of Titanium Alloys. Springer-Verlag, Berlin, 2014. doi: 10.1007/978-3-662-43902-9.
[3] M. Motyka, W. Zaja, and J. Sieniawski. Titanium Alloys – Novel Aspects of Their Manufacturing and Processing. IntechOpen, 2019.
[4] J.P. Davim (ed.). Surface Integrity in Machining. Springer, London, 2010. doi: 10.1007/978-1-84882-874-2.
[5] K. Cheng (ed.). Machining Dynamics. Fundamentals, Applications and Practices. Springer, London, 2009. doi: 10.1007/978-1-84628-368-0.
[6] T.L. Schmitz and K.S. Smith. Machining Dynamics. Frequency Response to Improved Productivity. Springer, New York, 2009. doi: 10.1007/978-0-387-09645-2.
[7] W. Cheng and J.C. Outeiro. Modelling orthogonal cutting of Ti-6Al-4 V titanium alloy using a constitutive model considering the state of stress. The International Journal of Advanced Manufacturing Technology, 119:4329–4347, 2022. doi: 10.1007/s00170-021-08446-9.
[8] M. Sima, and T. Özel. Modified material constitutive models for serrated chip formation simulations and experimental validation in machining of titanium alloy Ti–6Al–4V. I nternational Journal of Machine Tools and Manufacture, 50(11):943–960, 2010. doi: 10.1016/j.ijmachtools.2010.08.004.
[9] V. Stupnytskyy and I. Hrytsay. Comprehensive analysis of the product’s operational properties formation considering machining technology. Archive of Mechanical Engineering, 67(2):149–167, 2020. doi: 10.24425/ame.2020.131688.
[10] V. Stupnytskyy, I. Hrytsay, and Xianning She. Finite element analysis of thermal and stress-strain state during titanium alloys machining. In: Advanced Manufacturing Processes II. Lecture Notes in Mechanical Engineering, 629–639, Springer, 2021. doi: 10.1007/978-3-030-68014-5_61.
[11] M.K. Gupta, M.E. Korkmaz, M. Sarıkaya, G.M. Krolczyk, M. Günay and S. Wojciechowski. Cutting forces and temperature measurements in cryogenic assisted turning of AA2024-T351 alloy: An experimentally validated simulation approach. Measurement, 188:110594, 2022. doi: 10.1016/j.measurement.2021.110594.
[12] Y.-P. Liu and Y. Altintas. Predicting the position-dependent dynamics of machine tools using progressive network. Precision Engineering, 73: 409–422, 2022. doi: 10.1016/j.precisioneng.2021.10.010.
[13] A. Pramanik and G. Littlefair. Machining of titanium alloy (Ti-6Al-4V)—theory to application. Machining Science and Technology, 19(1):1–49, 2015. doi: 10.1080/10910344.2014.991031.
[14] W. Cheng, J. Outeiro, J.-P. Costes, R. M’Saoubi, H. Karaouni, L. Denguir, V. Astakhov, and F. Auzenat. Constitutive model incorporating the strain-rate and state of stress effects for machining simulation of titanium alloy Ti6Al4V. Procedia CIRP, 77:344–347, 2018. doi: 10.1016/j.procir.2018.09.031.
[15] S. Wojciechowski, P. Twardowski, and M. Pelic. Cutting forces and vibrations during ball end milling of inclined surfaces. P rocedia CIRP, 14:113–118, 2014. doi: 10.1016/j.procir.2014.03.102.
[16] D. Chen, J. Chen, and H. Zhou. The finite element analysis of machining characteristics of titanium alloy in ultrasonic vibration assisted machining. Journal of Mechanical Science and Technology, 35:3601–3618, 2021. doi: 10.1007/s12206-021-0731-9.
[17] Q. Yang, Z. Liu, Z. Shi, and B. Wang. Analytical modeling of adiabatic shear band spacing for serrated chip in high-speed machining. The International Journal of Advanced Manufacturing Technology. 71:1901–1908, 2014. doi: 10.1007/s00170-014-5633-x.
[18] A.Í.S. Antonialli, A.E. Diniz, and R. Pederiva. Vibration analysis of cutting force in titanium alloy milling. International Journal of Machine Tools and Manufacture. 50(1):65–74, 2010. doi: 10.1016/j.ijmachtools.2009.09.006.
[19] G. Korendyasev. An approach to modeling self-oscillations during metal machining based on a finite-element model with small amount of computing resources. Vibroengineering PROCEDIA, 32:6–12, 2020. doi: 10.21595/vp.2020.21437.
[20] J. Klingelnberg. Dynamics of machine tools. In: Klingelnberg, J. (ed.): Bevel Gear, pages 311–320, Springer Vieweg, 2016. doi: 10.1007/978-3-662-43893-0_8.
[21] Y. Petrakov, M. Danylchenko, and A. Petryshyn. Prediction of chatter stability in turning. Eastern-European Journal of Enterprise Technologies, 5(1):58–64, 2019. doi: 10.15587/1729-4061.2019.177291.
[22] S.K. Choudhury, N.N. Goudimenko, and V.A. Kudinov. On-line control of machine tool vibration in turning. International Journal of Machine Tools and Manufacture. 37(6):801–811, 1997. doi: 10.1016/S0890-6955(96)00031-4.
[23] A. Liljerehn. Machine Tool Dynamics. A constrained state-space substructuring approach. Ph.D. Thesis, Göteborg, Sweden, 2016.
[24] G.R. Johnson and W.N. Cook. A constitutive model and data for metals subjected to large strains. High rates and high temperatures. In 7th International Symposium on Ballistics, pages 541–547, Hague, Netherlands, 19–21 April 1983.
[25] Y. Zhang, J.C. Outeiro, and T. Mabrouki. On the selection of Johnson-Cook constitutive model parameters for Ti-6Al-4V using three types of numerical models of orthogonal cutting. Procedia CIRP, 31:112–117, 2015. doi: 10.1016/j.procir.2015.03.052.
[26] D. Yan, T. Wu, Y. Liu, and Y. Gao. An efficient sparse-dense matrix multiplication on a multicore system. In 17th International Conference on Communication Technology (ICCT), pages 1880–1883, Chengdu, China, 27-30 October 2017. doi: 10.1109/ICCT.2017.8359956.
[27] M. Binder, F. Klocke, and D. Lung. Tool wear simulation of complex shaped coated cutting tools. Wear, 330–331:600–607, 2015. doi: 10.1016/j.wear.2015.01.015.
[28] D. Alleyne and P. Cawley. A two-dimensional Fourier transform method for the measurement of propagating multimode signals. The Journal of the Acoustical Society of America, 89(3):1159–1168, 1991. doi: 10.1121/1.400530.
[29] C.M. Harris and A.G. Piersol. Harris' Shock and Vibration Handbook. McGraw-Hill, 2002.
[30] S.A. Sina, H.M. Navazi, and H. Haddadpour. An analytical method for free vibration analysis of functionally graded beams. Materials and Design, 30(3):741–747, 2009. doi: 10.1016/j.matdes.2008.05.015.
Go to article

Authors and Affiliations

Vadym Stupnytskyy
1
ORCID: ORCID
She Xianning
1
ORCID: ORCID
Yurii Novitskyi
1
ORCID: ORCID
Yaroslav Novitskyi
1
ORCID: ORCID

  1. Lviv Polytechnic National University, Lviv, Ukraine

This page uses 'cookies'. Learn more