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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。
The topology optimization design of satellite main truss structure with additional structure is carried out. The purpose of optimization is to minimize the volume of the structure (structural mass) while meeting structural compliance and fundamental frequency constraints. For the optimization problem of repetition optimization which may exist in the optimization, a semi-fixed programming method is used to establish the structural optimization model. This method can avoid the difficulties caused by the sensitivity analysis in the case of re-frequency, and is applicable to the problem of the repetition rate. The influence of the stiffness and quality of the additional structure on the topology optimization results is discussed, and the multi-scheme design and comparison are carried out. The common sub-problems in topology optimization of truss structures are grouped. Under the premise of meeting the mechanical properties of satellites, the quality of the truss structure is greatly reduced, and the applicable structural design scheme is obtained.