【作者】 李开标；

【导师】 梁军；

【作者基本信息】 哈尔滨工业大学 ， 工程力学， 2006， 硕士

【摘要】 随计算机技术、有限元方法等领域飞速发展,结构优化设计无论理论还是方法都取得长足的进展,并成为了现代设计方法中不可缺少的工具。结构优化设计能充分发挥材料的功效,改善结构的性能等,而结构拓扑优化设计更能在结构的概念设计阶段为决策者提供更多灵活的选择方案,从而缩短研发周期,降低产品成本。与此同时,人们对民用产品的质量要求日益提高,多种物理场的耦合作用越来越突出,往往成为决定结构系统与产品质量和性能的关键因素。多学科协同设计的概念也日渐成为优化设计的一个重要的思想。如何进行多目标的多学科协同设计又是一个新的挑战。本文基于ANSYS Parametric Design Language (APDL),提出渐进结构法中应用区间法进行单元的筛选,通过单元“生死”的功能实现单元的恢复与删除,根据滤波函数法原理提出修改的二阶棋盘格处理方法,并就稳态热传导温度控制问题,考虑热、力耦合的多载荷工况的多目标拓扑优化设计问题进行求解。数值计算结果表明本文算法的有效性。更多还原

【Abstract】 With the rapid development of computer technique and Finite Element Method (FEM), the structure design’s theory and method have been made a great progress, and becoming to be the necessary part of the modern design technique. The structure design method can make the best use of the material, improve the performance of the structure and so on. Furthermore, it can provide the decision maker with more selecting cases at the beginning of structure design. So it can reduce the design cost and abbreviate lead-time and so on. Meanwhile, people request more and more on the product’s quality. The coupled effect of multiple physical fields always becomes the determining factor for the structural system and the quality of the product. The concept of multidisciplinary design optimization has been becoming more important in the structure design. How to make multi-objective optimization crossing interacting multi-disciplines becomes a new challenge for the designers.In this paper, a method is proposed by author based on the ANSYS Parametric Design Language (APDL). It applies an interval method to select element in the Evolutionary Structure Optimization method ( ESO ) , and recovers or deletes element by the“birth and dead”function of element. Another method viewed as second order smoothing technique for suppressing the checkerboard patterns has been proposed based on the filtering function’s principle. Then the above methods are applied to solve a temperature-controlling problem in the steady heat conducting field and a multi-objective topology optimization problem considering multiple load cases and coupled effect. The numerical result has shown that the method is valid.更多还原