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中文摘要：
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。
英文摘要：
The concept and calculation method of compound perturbation coefficients for distorted models synthesizing different distorted factors are proposed. Firstly, the similarity criteria on the LT （Large Radio Telescope） model are defined by the dimension analysis. Secondly, the expressions of perturbation coefficients with distorted masses or distorted sizes are derived respectively. Furthermore the expressions of compound perturbation coefficients with both distorted masses and distorted sizes are deduced. Finally, the cable tensions and the basic natural frequency of the LT prototype are predicted from its distorted model. The comparison between the prediction and the simulation by finite element analysis shows the validity of the prediction given by this paper for the model with manifold distorted factors and large distorted ratios.
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