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Topology Optimization of Compliant Mechanisms with Geometrical Nonlinearities Using the Ground Structure Approach

Chinese Journal of Mechanical Engineering 2011年第2期24卷 257-263页

作者： ZHAN Jinqing ZHANG Xianmin School of Mechanical and Automotive Engineering South China University of Technology Guangzhou 510640 China

The majority of topology optimization of compliant mechanisms uses linear finite element models to find the structure *** the displacements of compliant mechanisms are intrinsically large,the topological design can not provide quantitatively accurate ***,topological design of these mechanisms considering geometrical nonlinearities is essential.A new methodology for geometrical nonlinear topology optimization of compliant mechanisms under displacement loading is *** elements are chosen to represent the design domain because they are capable of capturing the bending *** nonlinear structural response is obtained by using the co-rotational total Lagrange finite element formulation,and the equilibrium is solved by using the incremental scheme combined with Newton-Raphson *** multi-objective function is developed by the minimum strain energy and maximum geometric advantage to design the mechanism which meets both stiffness and flexibility requirements, *** adjoint method and the direct differentiation method are applied to obtain the sensitivities of the objective functions. The method of moving asymptotes（MMA） is employed as *** numerical example is simulated to show that the optimal mechanism based on geometrically nonlinear formulation not only has more flexibility and stiffness than that based on linear formulation,but also has better stress distribution than the *** is necessary to design compliant mechanisms using geometrically nonlinear topology *** with linear formulation,the formulation for geometrically nonlinear topology optimization of compliant mechanisms can give the compliant mechanism that has better mechanical performance.A new method is provided for topological design of large displacement compliant mechanisms.

关键词： compliant mechanisms topology optimization geometrical nonlinearities the ground structure approach displacement loading

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