温克勒弹性地基上双层均质梁的基频分析

中利用达朗贝（d'Alembert)原理建立了置于温克勒（winkler)弹性地基上具有弹性联系的均质双层矩形截面梁体系的自由振动的微分方程式，利用伽辽金（Galerkin)法推出确定该双层梁体系自由振动频率的行列式，给出特征方程，作为算例，中对弹性地基上的双层均质梁，在简支边界条件下的基频进行了计算，所得结果，在不考虑梁间弹性联系的特殊情况下，与里兹（Ritz)法所确定的单梁自由振动的基频相符合。

ANALYSIS OF FUNDAMENTAL FREQUENCIES OF DOUBLE-BEAM ON WINKER'S ELASTIC FOUNDATION

The paper present the fundamental differential equations of free vibration of Elastically Connected homogeneous Double-Beam System according to the Bernoulli-Euler beam theory on Winker's elastic foundation by 'Alembert theory.Determinant which determined to frequency of free vibrations of Double-Beam system on elastic foundation was developed Using Galerkin's method and expression proper equation was given.As an example,for homogeneous Double-Beams with simply supported edge on winder's elastic foundation.Fundamental frequencies solve.The results agree with Fundamental frequencies of free vibrations of single Beam which may be neglected Elastically connection between Beams and result suggested by Ritz method.