提出了一种综合多种畸变因素影响的畸变模型复合摄动系数概念与求解方法。首先,通过量纲分析法定义了大射电望远镜(Large Radio Telescope-LT)模型的相似准则。其次,分别推导了在馈源舱存在质量畸变或尺寸畸变情况下的单一摄动系数表达式,以及两种畸变同时存在情况下的复合摄动系数表达式。进而,实现了由LT畸变模型到原型的悬索张力和系统基频的预测。预测结论与有限元仿真结果的对比说明,对于多种畸变因素同时存在以及大畸变率情况,该文给出的预测方法有效。 This paper presents a concept and solution method of compound perturbation coefficient of distorted model which is influenced by many kinds of distorting factors. First, the similarity criterion of the Large Radio Telescope (LT) model is defined by dimensional analysis. Secondly, the expressions of single perturbation coefficient under the condition of mass distortion or size distortion in the feed capsule are deduced respectively, and the expressions of the composite perturbation coefficients under the simultaneous existence of the two distortions are deduced. Further, the prediction of cable tension and system fundamental frequency from the LT distortion model to the prototype is achieved. The comparison between the predictive results and the finite element simulation results shows that the prediction method given in this paper is effective for the simultaneous existence of many kinds of distortion factors and the large distortion rate.