关键词: 柔性机构, 拓扑优化, 无网格法, 几何非线性, 优化准则

Abstract:

Based on the continuum structural topology optimization, the element-free Galerkin method was applied to design large-displacement compliant mechanisms with geometrical nonlinearities.The multi-criteria mathematical formulation was developed using the SIMP（solidisotropic material with penalization）interpolation scheme and compromise programming,in which the mechanical flexibility and structural stiffness were both considered as the prescribed performances to be optimized. The optimization formulation was solved by optimality criteria method. The element-free Galerkin method was employed to discretize the design domain with the aim of avoiding the undesired mesh distortion caused by adopting finite element methods to deal with geometrical nonlinear problems.Numerical examples have been presented to demonstrate the effectiveness of the proposed approaches by analyzing the results derived from linear and nonlinear cases,respectively.

Key words: compliant mechanism；topological optimization, meshless method;geometrical nonlinearity;optimality criteria