大变形条件下的预应力索桁架天线结构优化设计

Optimization Design of Prestressed Cable-truss Antenna Structure under Large Deformation Conditions

传统预应力索桁架天线结构设计往往依赖于经验设计和非梯度方法。为了提高该类结构的优化设计效率,文中提出了一种大变形条件下的预应力索桁架结构拓扑优化方法。该方法以一种预应力修正下的柔顺度指标作为目标函数,以质量分数和强度作为优化约束,通过归一化方法获得连续的设计变量,实现对索桁架结构的拓扑构型、组件尺寸和预应力数值的整体优化设计。目标函数的灵敏度信息可完全通过解析方法获得。数值计算结果表明,该方法对大变形条件下天线单一工况和多工况预应力索桁架优化设计都具有较好的适用性。

The traditional design of prestressed cable-truss antenna structure used to depend on the empirical design and non-gradient method. In order to improve the optimization design efficiency of this kind of structure, a topology optimization method for the prestressed cable-truss structure under large deformation conditions is proposed in this paper. This method takes a kind of compliance index modified by prestress as the objective function, the mass fraction and strength as the optimization constraints and obtains the continuous design variables through the normalization method. Finally, the overall optimization design for the topological configuration, structural size and prestress value of the cable-truss structure is achieved. The sensitivity information of the objective function can be obtained completely by the analytical method. The numerical results show that the method has good applicability to the optimization design of prestressed cable-truss antenna under both single and multiple load cases under large deformation conditions.