复杂边界条件下任意变刚度梁的固有模态算法  

A CALCULATION METHOD FOR NATURAL MODES OF BEAMS WITH COMPLEX BOUNDARY CONDITIONS AND VARIABLE FLEXURAL RIGIDITY

作　　者：黎明安[1] 黄玉美[1] 方同[1] 

机构地区：[1]西安理工大学,西北工业大学

出　　处：《振动与冲击》1996年第2期53-61,共9页Journal of Vibration and Shock

摘　　要：本文采用有限元离散模型与传递矩阵法相结合，提出了一种非均匀参数，研究了不均匀梁连带弹性约束边界条件下的固有振动问题，给出了固有值与固有模态计算的一种格式，由此出发导出了多种边界条件下的频率方程和模态方程。由于采用了非均匀参数，计算工作量大为减少而精度又很高，通过算例的结果说明了本方法的有效性。Based on finite element model combined with transfer matrix method, this paper deals with the free vibration problem of a non￣uniform beam with elastic boundary condition. A number of different frequency equations and mode equations are given. Due to using the nonuniform control parameters, the calculation error appears much smaller then, the conventional results in some examples presented and the computation work is remarkably reduced.

关 键 词：弹性约束 变刚度梁 非均匀参数 模态 

分 类 号：TB125[理学—工程力学]