Outubro 2014 vol. 1 num. 1 - 13th International Symposium on Multiscale, Multifunctional and Functionally Graded Materials

Full Article - Open Access.

Idioma principal

Design of Compliant Mechanism Considering Large Deformation using Topology Optimization Method

Lahuerta, Ricardo Doll ; Nigro, Paulo S. B. ; Simões, Eduardo T. ; Pimenta, Paulo M. ; Silva, Emílio Carlos Nelli ;

Full Article:

This paper describes the use of Topology Optimization Method (TOM) as a strong technique to the design of fully compliant mechanisms considering nonlinear elasticity. To the best knowledge of the authors, previous works on the design of those mechanisms didn’t address the problem related to the objective, constraints function, numerical optimization algorithm considering a polyconvex constitutive model for well-posedness of the governing equations. The optimization problem is set to find the configuration that has the maximum displacements when subject to a prescribed displacement or force, volume constraint, and equilibrium. The material model used was the SIMP, and tests were performed using OC, MMA, and SLP algorithms. The results are presented to compare the proposed methodology with the traditional TOM methodology.

Full Article:

Download (PDF)

Palavras-chave: topology optimization method, compliant mechanisms, nonlinear elasticity, nonlinear geometric,

Palavras-chave: ,

DOI: 10.5151/matsci-mmfgm-119-2

Referências bibliográficas
  • [1] John M. Ball. Convexity conditions and existence theorems in nonlinear elasticity. Archive for Rational Mechanics and Analysis, 63(4):337–403, 1976.
  • [2] Martin P. Bendsøe. Optimal shape design as a material distribution problem. Structural Optimization, 1:192–202, 1989.
  • [3] Javier Bonet and Richard D Wood. Nonlinear continuum mechanics for finite element analysis. Cambridge university press, 1997.
  • [4] Blaise Bourdin. Filters in topology optimization. International Journal for Numerical Methods in Engineering, 50(9):2143–2158, 2001.
  • [5] EMB Campello, PM Pimenta, and P Wriggers. A triangular finite shell element based on a fully nonlinear shell formulation. Computational Mechanics, 31(6):505–518, 2003.
  • [6] Philippe G. Ciarlet. Mathematical Elasticity, volume 1. Elsevier Science, North Holland, Amsterdam, 1 edition, 1988.
  • [7] Claude Fleury. Conlin: an efficient dual optimizer based on convex approximation concepts. Structural optimization, 1(2):81–89, 1989.
  • [8] Albert A Groenwold and LFP Etman. On the equivalence of optimality criterion and sequential approximate optimization methods in the classical topology layout problem. International journal for numerical methods in engineering, 73(3):297–316, 200
  • [9] Richard J Hanson and Kathie L Hiebert. Sparse linear programming subprogram. Technical report, Sandia National Labs., Albuquerque, NM (USA), 1981.
  • [10] Noboru Kikuchi, Shinji Nishiwaki, Jun S Ono Fonseca, and Em´ılio C Nelli Silva. Design optimization method for compliant mechanisms and material microstructure. Computer Methods in Applied Mechanics and Engineering, 151(3):401–417, 1998.
  • [11] Ellen Kuhl, Harm Askes, and Paul Steinmann. An illustration of the equivalence of the loss of ellipticity conditions in spatial and material settings of hyperelasticity. European Journal of Mechanics-A/Solids, 25(2):199–214, 2006.
  • [12] Ricardo Doll Lahuerta, Eduardo T. Sim˜oes, Eduardo M. B. Campello, Paulo M. Pimenta, and Emilio C. N. Silva. Towards the stabilization of the low density elements in topology optimization with large deformation. Computational Mechanics, 52(4):779–797, 2013.
  • [13] GK Lau, H Du, and MK Lim. Use of functional specifications as objective functions in topological optimization of compliant mechanism. Computer methods in applied mechanics and engineering, 190(34):4421–4433, 2001.
  • [14] Kurt Maute and Dan M Frangopol. Reliability-based design of mems mechanisms by topology optimization. Computers & Structures, 81(8):813–824, 2003.
  • [15] F. Palacios-Gomez, L Lasdon, and M Engquist. Nonlinear optimization by successive linear programming. Management Science, 28(10):1106–1120, 1982.
  • [16] Claus BW Pedersen, Thomas Buhl, and Ole Sigmund. Topology synthesis of large-displacement compliant mechanisms. International Journal for numerical methods in engineering, 50(12):2683–2705, 2001
  • [17] G Ciarlet Philippe. The finite element method for elliptic problems. North-Holland, Amsterdam, 1978.
  • [18] Junuthula Narasimha Reddy. An introduction to the finite element method, volume 2. McGraw-Hill New York, 1993.
  • [19] Ole Sigmund. On the design of compliant mechanisms using topology optimization*. Journal of Structural Mechanics, 25(4):493–524, 1997.
  • [20] Krister Svanberg. The method of moving asymptotes—a new method for structural optimization. International journal for numerical methods in engineering, 24(2):359–373, 1987.
  • [21] Fengwen Wang, Boyan Stefanov Lazarov, Ole Sigmund, and Jakob Søndergaard Jensen. Interpolation scheme for fictitious domain techniques and topology optimization of finite strain elastic problems. Computer Methods in Applied Mechanics and Engineering, 276:453–472, 2014
Como citar:

Lahuerta, Ricardo Doll; Nigro, Paulo S. B.; Simões, Eduardo T.; Pimenta, Paulo M.; Silva, Emílio Carlos Nelli ; "Design of Compliant Mechanism Considering Large Deformation using Topology Optimization Method", p. 102-109 . In: Proceedings of the 13th International Symposium on Multiscale, Multifunctional and Functionally Graded Materials [=Blucher Material Science Proceedings, v.1, n.1]. São Paulo: Blucher, 2014.
ISSN 2358-9337, DOI 10.5151/matsci-mmfgm-119-2

últimos 30 dias | último ano | desde a publicação


downloads


visualizações


indexações