非均匀曲线支承矩形Mindlin板的自由振动

Free vibration of rectangular Mindlin plate with nonuniform curve supports

给出了非均匀曲线支承的Ｍｉｎｄｌｉｎ矩形厚板自由振动问题的级数解，将位移和转角在板域内展成重博里叶级数，将其导数在边界上展成单傅里叶级数，通过博里叶变换将控制微分方程和边界条件转化成关于位移级数的系数的一组无穷线性代数方程，最终将板的自由振动问题转化为矩阵特征值问题。

Presents a series solution to free vibration of rectangular Mindlin plate with nonuniform elate tie curve support. Using double Fourier series for the deflection function f governing equations are reduced to an infinite set of algebraic equations for coefficients in the series of deflection and the problem of free vibration is trasformed into the matrix eigenproblem.