桁架结构尺寸和形状协同优化方法研究

摘要

It is of important engineering significance to design the lightest structure, which meets the specific constraint. A parallel collaborative optimization method of truss element size and structure shape is presented. The design optimization of truss structures is separated into shape optimization and size optimization. The opti real solution is obtained by the coordination of the size design variables and shape design variables. Three typical examples of shape optimization of truss structures are carried out, the result shows that the method is feasible, compact and rapidly convergent.%在满足特定规范和约束条件下，设计出重量最轻的结构具有重要的工程意义。提出一种桁架结构形状、尺寸并行协同优化方法，该方法将桁架结构优化问题拆分为形状优化和尺寸优化两个子问题，通过并行协调实现尺寸设计变量和形状设计变量同时达到最优解；完成了三个典型桁架结构形状优化算例，结果表明：该方法对于桁架结构形状优化可行，且算法简洁，收敛快。