二维连续体的拓扑优化设计研究

为二维连续体的扑拓优化提供一种基于材料弹性模量的解析敏度求解方法。利用该方法开发一套二维连续体的拓扑优化设计程序。方法用以可变弹性模量作为设计变量的新方法对连续体进行拓扑优化设计，使拓扑优化在各向同性连续材料的前提下，用解析法求解敏度。

Topology Optimum Design of 2D Continum Structures

Aim\ To present a new method of analytic algorithm for solving sensitivity and develop a topology optimization program based on this method Methods In topology optimization program, the analytic algorithm for solving sensitivity method was based on selecting the modulus of elasticity as the design variable, which was realized on the condition of isotropy Results The program was used to optimize a loaded plane structure and a satisfying result was obtained Conclusion The developed program (TOOP2D) can be used to optimize any loaded plane structures The method can be used with the shape optimum design method to optimize the shape and topology of structure