直梁固有频率与振型计算的分段线性函数法  

Calculation of Natural Frequencies and Mode Shapes of Straight Beam via Segmental Linear Functions

作　　者：梁敏[1] 何庭蕙[1] 

机构地区：[1]华南理工大学交通学院,广东广州510640

出　　处：《华南理工大学学报（自然科学版）》2001年第6期64-67,共4页Journal of South China University of Technology(Natural Science Edition)

摘　　要：利用分段线性函数的运算性质直接求解弹性直梁横向自由振动的能量泛函极值 ,得到了计算弹性直梁固有频率和振型函数的一种新的数值方法 .这种方法具有计算简便、易于计算机处理的特点 .The operation properties of the Segmental Linear Functions are used to directly solve the minimum value of energy functional of lateral vibration of straight beam of elasticity. A new numerical method for calculating the natural frequencies and mode shapes of the beams is obtained. This method is characterized by its covenient calculation and easy processing by computer.

关 键 词：固有频率 振型函数 数值计算 分段线性函数 弹性直梁 

分 类 号：O326[理学—一般力学与力学基础]