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Compliant mechanism design with non-linear materials using topology optimization

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Abstract

In this paper, compliant mechanism design with non-linear materials using topology optimization is presented. A general displacement functional with non-linear material model is used in the topology optimization formulation. Sensitivity analysis of this displacement functional is derived from the adjoint method. Optimal compliant mechanism examples for maximizing the mechanical advantage are presented and the effect of non-linear material on the optimal design are considered.

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References

  • Ananthasuresh, G.K., Kota, S. and Kikuchi, N. (1994). Strategies for systematic synthesis of compliant MEMS. DSC-Vol. 55–2, 1994 ASME Winter Annual Meeting, pp. 677–686

  • Ananthasuresh, G.K. and Kota, S. (1996). The Role of Compliance in the Design of MEMS. Proceedings of the 1996 ASME Design Engineering Technical Conferences, 96-DETC/MECH-1309

  • K.J. Bathe (1996) Finite Element Procedures Prentice-Hall New Jersey

    Google Scholar 

  • Belytschko T., Liu W.K., Moran B. (2000). Nonlinear Finite Elements for Continua and Structures, John Wiley & Sons

  • M.P. Bendsøe J.M. Guedes S. Plaxton J.E. Taylor (1996) ArticleTitleOptimization of structure and material properties for solids composed of softening material International Journal of Solids and Structures. 33 IssueID12 1799–1813

    Google Scholar 

  • T.E. Bruns O. Sigmund D.A. Tortorelli (2002) ArticleTitleNumerical methods for topology optimization of nonlinear elastic structures that exhibit snap-through International Journal for Numerical Methods in Engineering. 55 IssueID10 1215–1237

    Google Scholar 

  • T.E. Bruns D.A. Tortorelli (2001) ArticleTitleTopology optimization of non-linear elastic structures and compliant mechanisms Computer Methods in Applied Mechanics and Engineering. 190 3443–3459

    Google Scholar 

  • T. Buhl C.B.W. Pedersen O. Sigmund (2000) ArticleTitleStiffness design of geometrically nonlinear structures using topology optimization Structural Multidisciplinary Optimization. 19 93–104

    Google Scholar 

  • Chen, W.F. (1994). Constitutive Equations for Engineering Materials, Vol. 2: Plasticity and Modeling, Elsevier.

  • H. Chickermane H.C. Gea (1996) ArticleTitleStructural optimization using a new local approximation method International Journal for Numerical Methods in Engineering. 39 IssueID5 829–846

    Google Scholar 

  • M.I. Frecker G.K. Ananthasuresh S. Nishiwaki N. Kikuchi S. Kota (1997) ArticleTitleTopological synthesis of compliant mechanism using multi-criteria optimization ASME Journal of Mechanical Design. 119 238–245

    Google Scholar 

  • Howell L.L., Midha A. (1993). Compliant Mechanisms, Section 9.10, Modern Kinematics: Developments in the Last Forty Years (editor: A. Erdman), Wiley, New York, pp. 422–428

  • C. Jog (1996) ArticleTitleDistributed-parameter optimization and topology design for non-linear thermoelasticity Computer Methods in Applied Mechanics and Engineering. 132 117–134

    Google Scholar 

  • U.D. Larsen O. Sigmund S. Bouwstra (1997) ArticleTitleDesign and fabrication of compliant mechanisms and material structures with negative poisson’s ratio Journal of Microelectromechanical Systems. 6 IssueID2 99–106

    Google Scholar 

  • K. Maute S. Schwarz E. Ramm (1998) ArticleTitleAdaptive topology optimization of elastoplastic structures Structural Optimization. 15 81–91

    Google Scholar 

  • S. Nishiwaki M.I. Frecker S. Min N. Kikuchi (1998) ArticleTitleTopology optimization of compliant mechanisms using the homogenization method International Journal for Numerical Methods in Engineering. 42 IssueID3 535–559

    Google Scholar 

  • P. Pedersen (1998) ArticleTitleSome general optimal design results using anisotropic, power law nonlinear elasticity Structural Optimization. 15 73–80

    Google Scholar 

  • C.B.W. Pedersen T. Buhl O. Sigmund (2001) ArticleTitleTopology synthesis of large-displacement compliant mechanisms International Journal for Numerical Methods in Engineering. 50 2683–2705

    Google Scholar 

  • A. Saxena G.K. Ananthasuresh (2000) ArticleTitleOn an optimal property of compliant topologies Structural and Multidisciplinary Optimization. 19 IssueID1 36–49

    Google Scholar 

  • O. Sigmund (1997) ArticleTitleOn the design of compliant mechanisms using topology optimization Mechanics of Structures and Machines. 25 IssueID4 493–524

    Google Scholar 

  • O. Sigmund (2001) ArticleTitleDesign of multiphysics actuators using topology optimization—Part I: One-material structures Computer Methods in Applied Mechanics and Engineering. 190 6577–6604

    Google Scholar 

  • O. Sigmund (2001) ArticleTitleDesign of multiphysics actuators using topology optimization—Part II: Two-material structures Computer Methods in Applied Mechanics and Engineering. 190 6605–6627

    Google Scholar 

  • Song J.O. (1986). An optimization method for crashworthiness design. Proceedings of the Sixth International Conference on Vehicle Structural Mechanics, Detroit, MI, 39–46

  • C.C. Swan J.S. Arora (1997) ArticleTitleTopology design of material layout in structured composites of high stiffness and strength Structural Optimization 13 45–59

    Google Scholar 

  • C.C. Swan I. Kosaka (1997) ArticleTitleVoigt-Reuss topology optimization for structures with nonlinear material behaviors International Journal for Numerical Methods in Engineering. 40 3785–3814

    Google Scholar 

  • Vander Lugt, D.A., Fischer, R.A. and Chen, R. (1987). Passenger car frontal barrier simulation using nonlinear finite element methods. SAE Technical Paper 871958, Passenger Car Meeting, Dearborn, MI

  • L. Yin G.K. Ananthasuresh (2002) A novel formulation for the design of distributed compliant mechanisms, Mechanics Based Design of Structures and Machines. 31 IssueID2 151–179

    Google Scholar 

  • K. Yuge N. Kikuchi (1995) ArticleTitleOptimization of a frame structure subjected to a plastic deformation Structural Optimization. 10 197–208

    Google Scholar 

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Correspondence to Hae Chang Gea.

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Jung, D., Gea, H.C. Compliant mechanism design with non-linear materials using topology optimization. Int J Mech Mater Des 1, 157–171 (2004). https://doi.org/10.1007/s10999-004-1494-z

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