Preliminary Study on Nonlinear Static Response Topology Optimization Using Equivalent Load

등가하중을 이용한 비선형 정적 응답 위상최적설계의 기초연구

  • Lee, Hyun-Ah (Dept. of Mechanical Engineering, Hanyang Univ.) ;
  • Zeshan, Ahmad (Dept. of Mechanical Engineering, Hanyang Univ.) ;
  • Park, Gyung-Jin (Dept. of Mechanical Engineering, Hanyang Univ.)
  • Received : 2010.03.09
  • Accepted : 2010.10.13
  • Published : 2010.12.01


Most components in the real world show nonlinear response. The nonlinearity may arise because of contact between the parts, nonlinear material, or large deformation of the components. Structural optimization considering nonlinearities is fairly expensive because sensitivity information is difficult to calculate. To overcome this difficulty, the equivalent load method was proposed for nonlinear response optimization. This method was originally developed for size and shape optimization. In this study, the equivalent load method is modified to perform topology optimization considering all kinds of nonlinearities. Equivalent load is defined as the load for linear analysis that generates the same response field as that for nonlinear analysis. A simple example demonstrates that results of the topology optimization using equivalent load are very similar to the numerical results. Nonlinear response topology optimization is performed with a practical example and the results are compared with those of conventional linear response topology optimization.


Topology Optimization;Equivalent Load;Nonlinear Response Structural Optimization;Boundary Nonlinearity;Material Nonlinearity;Geometric Nonlinearity


Supported by : 한국학술진흥재단


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