中文摘要：

在基于密度的拓扑的设计，一个人期望最后的结果由元素任何一个黑色(稳固的材料) 或白色(虚空) 组成，在任何灰区域外面。而且，一个人也期望最佳的拓扑学能被从任何起始的拓扑学配置开始获得。一个改进结构的拓扑的优化方法为多 -- 排水量限制在这份报纸被建议。在建议方法，整个优化过程被划分成转的阶段和一个阶段走的二优化调整。第一，一个优化模型被造处理在元素僵硬矩阵和团和它的元素拓扑学变量之间的改变的排水量限制，设计空格调整，和合理关系。第二，一个过程被建议解决在第一个优化调整阶段提出的优化问题，由以一个小设计空格开始并且进展到一更大屈尊空间。当设计领域需要扩大，建议方法的集中不在被影响时，设计空间调整是自动的。最后的拓扑学在第一个优化阶段由建议过程获得了，能来临到最佳拓扑学的附近。然后，一个启发式的算法被给改进效率并且在转移步的阶段和第二个优化调整阶段使设计结构的拓扑学黑 / 白。并且最佳拓扑学能被第二阶段优化调整最后获得。二个例子被举证明建议方法获得的拓扑学具有很好的 0/1 设计分发性质，并且计算效率被减少结构的有限模型在二优化调整期间分阶段执行的设计的元素数字提高。并且例子也证明这个方法柔韧、适用。关键词拓扑的优化 - 排水量限制 - 连续统结构 - 设计空格调整 - 合理近似材料模型工程被国家自然科学基础支持中国(10872036 ) ，高工艺的研究和开发中国(2008AA04Z118 ) 和上空天赋科学编程序基础(2007ZA23007 ) 。

英文摘要：

In density-based topological design, one expects that the final result consists of elements either black （solid material） or white （void）, without any grey areas. Moreover, one also expects that the optimal topology can be obtained by starting from any initial topology configuration. An improved structural topological optimization method for multidisplacement constraints is proposed in this paper. In the proposed method, the whole optimization process is divided into two optimization adjustment phases and a phase transferring step. Firstly, an optimization model is built to deal with the varied displacement limits, design space adjustments, and reasonable relations between the element stiffness matrix and mass and its element topology variable. Secondly, a procedure is proposed to solve the optimization problem formulated in the first optimization adjustment phase, by starting with a small design space and advancing to a larger deign space. The design space adjustments are automatic when the design domain needs expansions, in which the convergence of the proposed method will not be affected. The final topology obtained by the proposed procedure in the first optimization phase, can approach to the vicinity of the optimum topology. Then, a heuristic algorithm is given to improve the efficiency and make the designed structural topology black/white in both the phase transferring step and the second optimization adjustment phase. And the optimum topology can finally be obtained by the second phase optimization adjustments. Two examples are presented to show that the topologies obtained by the proposed method are of very good 0/1 design distribution property, and the computational efficiency is enhanced by reducing the element number of the design structural finite model during two optimization adjustment phases. And the examples also show that this method is robust and practicable.