考虑局部稳定性约束的桁架拓扑优化设计

Inverstigation of truss topology optimization under local buckling constraints

研究单工况作用下考虑稳定性约束的圆截面桁架拓扑优化问题，以内力为设计变量将问题改写为线性约束下的数学规划；在单纯形法的基础上，提出了一个修正的算法，通过求解这个数学规划，得到了满应力的静定最优解，为了避免不稳定结构拓扑的产生，对优化结果进行了机动性分析。还将结果与不考虑稳定约束的拓扑优化结果作了比较，提供了有价值的启示。大量算例表明，本方法实用、有效，可以很方便地应用于实际工程设计。

Truss topobgy optimization under single loading case and local bucking constraintsis investigated. The topology optumization problem is modeled as a mathematical programmingproblem which is subjected to linear constraits. Based on the simplex method, the authors haveproposed a modified algorithm. Fully stressed static determinate structure is obtained. Numericalexample shows the efficiency and effectivenss of this method。