摘要
本文根据瑞利能量原理,讨论四个角点支承的加肋矩形板上有集中质量或分布质量时,计算自由振动基本频率的近似方法。通过算例说明,当板上有多个集中质量和加强肋时,应用迭加原理求出质量或刚度换算系数,可较方便地求出薄板的基本频率。
Based on Rayleigh's Energy Theorem, the approximate method for calculating the free-vibration fundamental frequency of a fourcorner-point-supported ribbed rectangular plate with concentrated or distributed masses on it is discussed. Calculations of some examples show that when there are several concentrated masses and ribs on the plate, the reduced coefficients of masses and stiffnesses are found out by making use of superposition theorem and the fundamental frequncy of the thin plate is determined conveniently.