Affiliation:
1. Department of Mechanical Engineering National Cheng Kung University Tainan, Taiwan, R.O.C.
2. Department of Mechanical Engineering Kung Shan Institute of Technology Tainan, Taiwan, R.O.C.
Abstract
This study introduces using differential transform to solve the free vibration problems of a general elastically end restrained non-uniform Timoshenko beam. First, differential transform is briefly introduced. Second, taking differential transform of a non-uniform Timoshenko beam vibration problem, a set of difference equations is derived. Doing some simple algebraic operations on these equations, we can determine any i-th natural frequency, the closed form series solution of any i-th normalized mode shape. Finally, three examples are given to illustrate the accuracy and efficiency of the present method.
Publisher
Canadian Science Publishing
Cited by
4 articles.
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