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在实际问题中,由于系统的质量分布、支承刚度等都是难以精确求得的,所以要得到精确的系统固有频率实际上相当因难。因此,用近似法求系统的固有频率目前仍占有一定地位。邓克列法就是常用的近似法之一,然而只能求系统的一阶固有频率,而且误差较大。本文根据该法的基本原理推出一种求系统(包括离散系统和连续系统)任意次高阶固有频率的近似法,同时,又采取一些措施以提高其精度。
In practical problems, due to the mass distribution of the system, the stiffness of the support, etc. are difficult to accurately obtained, so to get the exact system natural frequency is actually quite difficult. Therefore, using the approximate method to find the natural frequency of the system still occupies a certain position. Dunkley’s method is one of the commonly used approximation, but only the first natural frequency of the system, and larger errors. According to the basic principle of the law, this paper presents an approximate method of finding the highest order natural frequency of any system (including discrete systems and continuous systems), and at the same time, some measures are taken to improve its accuracy.