中文摘要：

针对标准结构拓扑优化时支撑边界条件预先给定不变的情况,将支撑作为设计变量参与优化过程,提出了一种基于SIMP的结构与支撑综合拓扑优化设计方法。这种方法被应用到最小柔度的刚度拓扑优化设计中,进行了二维数值实验,并讨论了成本系数、弹簧原始刚度和中间支撑密度单元对结构拓扑优化分布的影响。

英文摘要：

Support conditions were given and unchanged in standard topology optimization. An integrated method, which was based on SIMP （solid isotropic material with penalization model） and for structure and supports, has been proposed. Support conditions were introduced as a new set of design variables that represented supported areas. In this work, supports were simulated as elastic springs such as the supports in the optimal design could be considered either free or fixed. The method has been applied in compliance minimization and several 2 - D examples were tested. The effects of variable cost on supports, the original stiffness of the spring and intermediate densities of supports were discussed. The support conditions and structure were optimized simultaneously, which extended the standard topology optimization method and proposed a new method for supports design.