Free transverse vibration of an axially loaded non-uniform spinning twisted Timoshenko beam using differential transform

被引：50
|
作者：
Ho, Shing Huei [1 ]
Chen, Cha'o Kuang
机构：
[1] Kun Shan Univ, Dept Mech Engn, Tainan, Taiwan
[2] Natl Cheng Kung Univ, Dept Mech Engn, Tainan 70101, Taiwan
来源：
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES | 2006年 / 48卷 / 11期
关键词：
differential transform; twisted Timoshenko beam; Coriolis force; spinning speed;
D O I：
10.1016/j.ijmecsci.2006.05.002
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
This study investigates the vibration problems of an axially loaded non-uniform spinning twisted Timoshenko beam. First, using the Timoshenko beam theory and Hamilton's principle, we derive the governing equations and boundary conditions of the beam. Secondly, the differential transform method is used to solve these equations with appropriate boundary conditions. Finally, the effects of the twist angle, spinning speed, and axial force on the natural frequencies of a non-uniform Timoshenko beam are investigated and discussed. (C) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1323 / 1331
页数：9
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