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有限段法解非均质变截面杆纵向振动固有频率
引用本文:任传波,武良知. 有限段法解非均质变截面杆纵向振动固有频率[J]. 江苏大学学报(自然科学版), 1993, 0(2)
作者姓名:任传波  武良知
作者单位:江苏工学院汽车工程系,江苏工学院汽车工程系
摘    要:对于非均质变截面杆,我们把它划分为很多的小段,当每段的长度很小时,可认为在每段内是均质等截面杆。这样,每段杆所满足的微分方程就可精确求出;然后,利用段与段之间的连续条件导出了一个传递公式;最后,利用边界条件求出了固有频率。

关 键 词:固有频率  机械振动/有限段法  非均质变截面杆

Solution to Natural Frequency of Longitudinal Vibration for a Nonuniform Nonhomogeneous Bar with Variable Cross Section by Finite Segments Method
Ren Chuanbo Wu Liangzhi. Solution to Natural Frequency of Longitudinal Vibration for a Nonuniform Nonhomogeneous Bar with Variable Cross Section by Finite Segments Method[J]. Journal of Jiangsu University:Natural Science Edition, 1993, 0(2)
Authors:Ren Chuanbo Wu Liangzhi
Affiliation:Ren Chuanbo Wu Liangzhi
Abstract:A nonuniform nonhomogeneous bar with variable cross section is divided into many segments. When each segment is of short length, it is regarded as to be uniform and homogeneous. The differential equation satisfied by each segment is solved accurately, then a transmitted formula is obtained by using continuous conditions between segments. Finally, solution to natural frequency is given by means of boundary conditions.
Keywords:natrural frequency  mechanical vibration/finite segments method nonuniform nonhomogeneous bar with variable cross section
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