受动力响应约束的桁架的形状优化

Truss shape optimization with dynamic response constraints

建立了求解桁架的最优形状,使桁架的重量最小化,同时满足桁架动力响应(杆件横截面的动应力和节点的动位移)约束的桁架形状优化设计的数学模型,采用ANSYS的APDL语言设计了求解该数学模型的算法,从而获得桁架的最优形状。数值结果表明用该方法获得桁架的最优形状是令人满意的,而且算法稳定,效率高,具有很现实的工程意义。

Mathematics model of the truss shape optimization design is established for searching the optimum shape of the truss,making its weight minimum,at the same time the truss dynamic response （dynamic stress of the bar sections and dynamic displacement of the nodes） constraints are fulfilled. The algorithmic is designed to solve the mathematics model with the APDL language in the soft ANSYS. Accordingly the optimum shape of the truss is achieved. The result of numerical value shows that the optimum shape of the truss achieved by this method is satisfying, and the algorithmic is steady and efficient.