航天器桁架结构拓扑优化设计

对带有附加结构的卫星主桁架结构进行了拓扑优化设计。优化的目的是在满足结构柔度和基频约束条件下使结构体积(结构质量)最小。对优化时可能存在的重频优化问题,采用半定规划法建立了结构优化模型,该方法可回避重频情况下敏度分析所带来的困难,对有无重频问题均适用。对附加结构的刚度及质量对拓扑优化结果的影响进行了讨论,并进行了多方案设计和比较。对桁架结构拓扑优化中常见的次元问题进行了分组处理,在满足卫星力学性能指标前提下,大幅度降低了桁架结构的质量,获得了工程适用的结构设计方案。

Application of Truss Topology Optimization in Spacecraft Structures Engineering

The optimal topology design of satellite trusses with appended structures was performed.The main goal was to reduce the volume(or the weight) of the structure while satisfying the compliance and the natural frequency constraints.Semidefinite programming was used to avoid underlying difficulty of sensitivity analysis of multiple eigenvalues.The effect of stiffness and mass of appended structure on optimum topology result was presented and several optimum designs were compared with each other.Structural mass was greatly reduced using this optimization method.The second member in the optimal topology design was grouped for parameter optimization according to the engineering considerations and the final practical structure satisfying the satellite mechanical performance was obtained.