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大型雷达的自振频率是一个关系跟踪性能的重要指标。自振频率的分析计算,国内外已有有关文献作了介绍。一般用结构矩阵分析理论将连续弹性体系作为多自由度的体系,根据保守系统的拉格朗日方程,建立结构刚度矩阵和质量矩阵,求解广义特征值问题。本文在现有文献的基础上,进一步做了: 1.论证了多自由度体系在各阶自由转子或锁定转子自振频率处结构响应有谐振峰或反谐振峰。2.对传动减速器内各级齿轮传动链,考虑每个齿轮三个自由度,且在轮齿弹性啮合情况下建立了全耦合的刚度矩阵。3.对大型天线座支承在沿周边等距离设置的油压支承上的转盘弹性封闭圆环组合结构进行了分析,简化为周边支承在文克尔地基上的弹性圆环饺接加强板,获得了便于应用的级数解。最后,文本将两个雷达分析的结果和实测值进行了对比。
The natural frequency of a large radar is an important indicator of the relationship tracking performance. Analysis and calculation of natural frequency, the literature has been introduced at home and abroad. In general, the theory of structural matrix analysis is applied to the continuous elastic system as a multi-degree-of-freedom system. According to the Lagrange equation of the conservative system, the structural stiffness matrix and the mass matrix are established to solve the generalized eigenvalue problem. Based on the existing literature, the paper further makes the following conclusions: 1. It is demonstrated that the structural response of the multi-degree-of-freedom system at either the free-rotor or the locked-rotor rotor has resonance peaks or anti-resonance peaks. 2. For all gear transmission chains in transmission reducer, consider three degrees of freedom for each gear and establish a fully coupled stiffness matrix with elastic engagement of gear teeth. The analysis of the composite structure of the elastic ring closed on the hydraulic support of the large-sized antenna base supported on the equidistance along the periphery is simplified as the elastic ring dumpling reinforcing plate which is supported on the Winkler foundation. For the application of the series solution. Finally, the text compares the results of the two radar analyzes with the measured values.