In order to solve the random vibration acceleration response of a high resolution space camera,the main support structure of the space camera was optimally designed.A mathematical model was established based on random vibration responses,and the random vibration root-mean-square response expression was deduced.Then,the camera supporting structure was designed by virtue of the principle of three point location and the idea of bipod flexible structure.Taking the RMS of acceleration response as an objective function and the natural frequency as a constraint,the sizes of the support structure were optimized.The position of the flexible link was also optimized.Using the MSC.Patran & Nastran finite element software to analyse the support structure,it is shown that the RMS of random response at the camera installation point is less than 19.6 grms.Finally,the camera support structure was tested under random vibration excitation.The results show that the maximum relative error of the random vibration response between the analysis result and test result is 8.2％.The performance parameters of the main support structure can meet the requirements of space camera,and the feasibility of the optimization method was verified.%针对某高分辨率空间相机结构随机振动加速度响应大的问题,对空间相机支撑结构进行了优化设计.建立了基于随机振动响应分析的数学模型,推导了随机振动均方根响应表达式.基于三点定位原理和双脚架柔性结构原理设计了相机支撑结构,以相机安装点RMS值最小为目标,基频作为约束,建立了相机支撑结构随机响应优化模型,对支撑结构柔性环节位置进行了尺寸优化设计.采用MSC.Patran&Nastran有限元分析软件对优化处理后的支撑结构进行了工程分析,相机安装点随机响应RMS值最大19.6 grms.最后,对相机支撑结构进行了随机振动试验,结果显示,有限元分析结果与试验测量数据符合的较好,最大相对误差为8.2％,所设计的空间相机支撑结构满足空间相机使用要求,验证了所采用优化方法的可行性.
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