双参数弹性地基上双模量梁的频率响应分析  

Frequency Response Analysis of Double Modulus Beam on Double Parameter Elastic Foundation

作　　者：黄春林 彭建设 HUANG Chunlin;PENG Jianshe(School of Mechanical Engineering,Chengdu University,Chengdu 610106,China)

机构地区：[1]成都大学机械工程学院,四川成都610106

出　　处：《成都大学学报（自然科学版）》2020年第2期204-208,共5页Journal of Chengdu University（Natural Science Edition）

摘　　要：考虑拉压弹性模量不等情况,建立双模量梁的欧拉-伯努利梁的振动微分方程,并在此基础上考虑双模量梁在双参数地基上的自由振动,建立其在弹性地基上的振动微分方程.由振动方程得到其特征方程,利用微分求积法离散处理后,调用Matlab中的eig函数得到系数矩阵的特征值,进而得到弹性地基上梁在等模量情况下和双模量情况下的固有频率.Considering the unequal tension and compression elastic modulus,the vibration differential equation of the Euler-Bernoulli beam with dual modulus materials is established.On this basis,the free vibration of the dual modulus beam on the two-parameter foundation is considered to establish the oscillatory differential equations on elastic foundation.The characteristic equation is obtained from the vibration equation,and the differential quadrature method discrete processing is used to call the eig function in Matlab to obtain the eigenvalue of the coefficient matrix,and then the natural frequency of the beam on the elastic foundation under the case of equal modulus and double modulus.

关 键 词：欧拉-伯努利梁 双模量 固有频率 微分求积法 

分 类 号：TU470[建筑科学—结构工程] O324[建筑科学—土工工程]