随机参数连续体结构的动力学拓扑优化

构造了基于概率的连续体结构动力特性拓扑优化设计数学模型,以结构的形状拓扑信息为设计变量,结构总重量极小化为目标函数,满足结构多阶固有频率约束的可靠性要求为约束条件。利用分布函数法对模型中的可靠性约束进行了等价化处理。采用了渐进结构优化(ESO)的求解策略与方法。通过算例验证了文中所提出的设计模型及求解策略与方法的合理性和有效性。

Optimal Dynamic Topology Design of Continuum Structure with Random Parameters

Considering the randomness of physical parameters of structural material, the mathematical models of structural dynamic characteristic topology optimal design on planar continuum structures are established, where structural shape topology information of the structure is taken as the design variable, minimum of the total structure weight as the objective function and the first several natural frequencies meeting reliability requirements as the constraints. Simultaneously evolutionary strategy and exist-null combination method are adopted in the optimization process, distribution function method is employed to display the reliability constraints in the structural models, so the constraints based on probability are converted into convention constraints formally. The numerical example of a square thin plate structure with four sides fixed is presented to illustrate the correctness and efficiency of the proposed models.