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求变截面梁横向振动固有频率的状态变量法
引用本文:张煜. 求变截面梁横向振动固有频率的状态变量法[J]. 贵州工业大学学报(自然科学版), 2001, 30(1): 6-10,15
作者姓名:张煜
作者单位:贵州工业大学基础部,
摘    要:导出了用变形、内力作为混合状态变量表示的求解等截面梁的横向振动固有频率的普遍方程。应用本文方法 ,可以求解各种边界条件下的阶梯梁及带集中质量和弹性支承梁的横向振动固有频率。

关 键 词:  固有频率  状态变量
文章编号:1009-0193(2001)01-0006-05

The Method of State Variables to Compute the Natural Frequencies of Non-Uniform Beams
ZHANG Yu. The Method of State Variables to Compute the Natural Frequencies of Non-Uniform Beams[J]. Journal of Guizhou University of Technology(Natural Science Edition), 2001, 30(1): 6-10,15
Authors:ZHANG Yu
Abstract:The deformations and the internal forces at a cross section of a beam are taken as state variables to formulate a general equation for computing the natural frequencies of non uniform beams.This method is suitbale for various non uniform beams with different constraints at their ends such as stepped beams,continuous variable beams,and beams with elastic bears or concentrated masses.
Keywords:beam  natural frequencies  state variable
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