摘要
证明关于多自由度振动系统固有频率的二个结论,它们描述了系统的固有频率为子系统的固有频率所分割,固有频率的最大和最小值分别大于和小于刚度矩阵与质量矩阵的对角元素之比.根据该结论,提出求基频的插值方法.
In this paper, two results of natural frequencies for vibration systems with multidegree-of-freedom are proved. The results describe the frequencies of vibration system, which are divided by its subsystem, and the maximum or minimum frequency is respectively greater or less than the ratios of diagonal elements in the stiffness matrix to the mass matrix. The method of estimating a fundamental frequency is presented according to the results.