무요소법을 이용한 평면구조물의 위상최적화에 대한 연구

Abstract

This study proposes a topology optimization technique using meshless method for planer structures. The meshless method is developed to complement the weak point of finite element (FE) method in case of crack propagation problems which generally need the regeneration of FE mesh when cracks occur. It has been considered as a very attractive computational method since it does not need mesh generation during the analysis. We adopt the radial point interpolation method (RPIM) which uses the radial basis function (RBF). It has great advantages since it is stable and robust for arbitrary nodal distributions. So far, there is a few application of new meshless method into the structural design optimization. Therefore, we here apply the meshless method into structural topology optimization problem. The hard kill method based on fully stressed design technique is consistently combined with RPIM meshless method. In order to demonstrate the accuracy of the proposed topology optimization technique, several benchmark tests are tackled not only to investigate the accuracy of the adopted meshless method but also the performance of new topology optimization process. From numerical results, it is found to be that the proposed topology optimization technique very simple and effective to produce the optimum topologies of plane structures.