折叠太阳翼支承点分布优化分析

为了研究支承点分布对折叠太阳翼固有频率的影响，以典型两折叠太阳翼结构为研究对象，根据能量守恒原理和Rayleigh-Ritz理论推导出两折叠太阳翼的振动方程和频率方程。对折叠太阳翼固有特性及支承点分布对其固有特性的影响进行深入分析，并以基频最大为目标对其支承点的分布进行优化，获得最优支承位置。算例分析表明，在给定支承点分布情况下，理论计算结果与有限元分析结果具有较好的一致性。研究结果可为折叠太阳翼支承点分布的设计提供理论分析依据。

Optimization Analysis of Supporting Point Distribution for Folding Solar Panels

In order to study the effect of supporting point distribution on the fundamental frequencies of folding solar panels, a typical two-folding solar panels with point supports is taken as an investigation object. Based on both conservation of energy principle and Rayleigh-Ritz theory, the vibration equation and the corresponding frequency equation are established for analyzing the free vibration problem of folding solar panels. The inherent characteristics of the folding solar panels and the influence of supporting point distribution on ones are analyzed in detail. Aiming at the maximum fundamental frequency, the optimization distribution of support points is discussed, and the optimal position of supporting points is obtained consequently. The examples show that, if the supporting point distribution is given, the theoretical calculation results have good consistency with the results of the finite element analysis. The results obtained may provide a theoretical basis for the preliminary design of supporting point distribution for the folding solar panels.