【摘要】 将杂交元推广于结构拓扑优化设计 ,推导了拓扑优化中数值计算和敏度分析的基本方程 ,对等参元和杂交元的拓扑优化结果进行了对照 .最后的优化布局表明 :使用杂交元能得到较好的拓扑优化结果 ,再实施过滤技术 ,优化结果会更加精致 .杂交元不仅能提供更高精度的拓扑优化结果 ,而且还能进一步克服等参元难免的棋盘格式问题更多还原

【Abstract】 Hybrid elements are used in this paper for topology optimization of continuum structure. And expressions have been derived for analytical response sensitivity computation and numerical computation in topology optimization process. Numerical examples of plane problem are presented and numerical results of 4-node hybrid elements have been compared with those of 4-node isoparametric compatible ones. The improvement in the accuracy of final optimal results using hybrid elements as compared with conventional isoparametric elements is examined and the passibility of solving checkboard pattern problems is greatly improved.更多还原