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在航天光学成像仪器中光学反射镜组件结构复杂,相应的有限元分析模型大,因此分析效率较低。针对此问题,引入子结构模态综合法作为光学反射镜组件结构动响应的求解方法。具体讨论了子结构模态综合法求解结构动响应的基本原理,说明了该法在工程上的实现方法。以某反射镜组件为例进行了计算,结果表明,子结构模态综合法与经典的整体FE分析法比较,求解的前10个固有频率误差小于7%,计算时间前者为后者的2/3;加速度响应曲线符合良好,计算时间前者为后者的2/5,子结构模态综合法的计算效率明显提高,工程适用性良好。
In aerospace optical imaging instruments, the structure of the optical mirror assembly is complex and the corresponding finite element analysis model is large, so the analysis efficiency is low. In order to solve this problem, the modal synthesis method of substructure is introduced as the solution to the dynamic response of the structure of the optical reflector. Concretely discussed the fundamental principle of modal synthesis method for solving structural dynamic response, and illustrates the method of engineering realization. Taking a mirror assembly as an example, the results show that the substructure modal synthesis method is less than 7% of the natural frequency of the first FE analysis, and the former is 2 / 3; the acceleration response curve is in good agreement with the former calculation time being 2/5 of the latter. The computational efficiency of the modal synthesis method with substructure is obviously improved and the engineering applicability is good.