四边支承矩形薄板自振频率计算

Calculation of the natural vibration frequency of rectangular thin plates with four edges supported

从弹性薄板的基本振动微分方程出发,利用可以满足各边边界条件的振型函数,根据能量法推导出四边支承六种不同边界条件的矩形薄板的最低自振频率计算公式,为楼板结构的自振频率计算和舒适性设计提供了指导。

Based on the vibration differential equation of elastic thin plates,the paper deduces six formulae for calculating the minimum natural vibration frquency of the rectangular thin plates with four edges supported under six boundary conditions,using the energy method and the vibration mode functions that meet with various boundary conditions.The paper aims to provide reference for natural vibration frequency calculation and comfortableness design of floor structural.