The effect of internal axial forces of a cantilever beam with a lumped mass at its free end

被引：0
|
作者：
Zhang, Jinfu [1 ]
机构：
[1] Northwestern Polytech Univ, Dept Engn Mech, Xian 710129, Shaanxi, Peoples R China
来源：
COUPLED SYSTEMS MECHANICS | 2018年 / 7卷 / 03期
基金：
中国国家自然科学基金;
关键词：
cantilever beam; lumped mass; free transverse vibration; internal axial force; curve motion;
D O I：
10.12989/csm.2018.7.3.321
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
When a cantilever beam with a lumped mass at its free end undergoes free transverse vibration, internal axial forces are produced in the beam. Such internal axial forces have an effect on free transverse vibration of the beam. This effect is studied in this paper. The equations of motion for the beam in terms of the generalized coordinates including the effect are derived. The method for determining free transverse vibration of the beam including the effect is presented. In numerical simulations, the results of free transverse vibration of the free end of the beam including and not including the effect are obtained. Based on comparison between the results obtained, the conclusions concerning the effect are given.
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页码：321 / 331
页数：11
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