TOPOLOGY SYNTHESIS OF GEOMETRICALLY NONLINEAR COMPLIANT MECHANISMS USING MESHLESS METHODS |
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| Authors: | Yixian Du Liping Chen Zhen Luo |
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| Institution: | 1. School of Mechanical Science & Engineering, Huazhong University of Science & Technology, Wuhan 430074, China;2. School of Aerospace, Mechanical and Mechatronic Engineering, The University of Sydney, NSW 2006, Australia;1. Department of Mechanical Engineering, National University of Singapore, Singapore;2. Department of Mechanical and Aerospace Engineering, Hong Kong University of Science and Technology, Hong Kong;3. Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Hong Kong;1. Research Institute of Engineering and Technology, Hanyang University, Ansan City, Gyeonggi-do, 426-791, Republic of Korea;2. Department of Mechanical Engineering, Hanyang University, Ansan City, Gyeonggi-do, 426-791, Republic of Korea |
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| Abstract: | This paper presents a new method for topology optimization of geometrical non- linear compliant mechanisms using the element-free Galerkin method(EFGM).The EFGM is employed as an alternative scheme to numerically solve the state equations by fully taking ad- vantage of its capability in dealing with large displacement problems.In the meshless method, the imposition of essential boundary conditions is also addressed.The popularly studied solid isotropic material with the penalization(SIMP)scheme is used to represent the nonlinear depen- dence between material properties and regularized discrete densities.The output displacement is regarded as the objective function and the adjoint method is applied to finding the sensitivity of the design functions.As a result,the optimization of compliant mechanisms is mathematically established as a nonlinear programming problem,to which the method of moving asymptotes (MMA)belonging to the sequential convex programming can be applied.The availability of the present method is finally demonstrated with several widely investigated numerical examples. |
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| Keywords: | compliant mechanisms topology optimization element-free Galerkin methods geometrical nonlinearity |
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