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Transverse Vibration of a Uniform Euler-Bernoulli Beam Under Varying Axial Force Using Differential Transformation Method  

Shin Young-Jae (School of Mechanical Engineering, Andong National University)
Yun Jong-Hak (School of Mechanical Engineering, Andong National University)
Publication Information
Journal of Mechanical Science and Technology / v.20, no.2, 2006 , pp. 191-196 More about this Journal
Abstract
This paper presents the application of techniques of differential transformation method (DTM) to analyze the transverse vibration of a uniform Euler-Bernoulli beam under varying axial force. The governing differential equation of the transverse vibration of a uniform Euler-Bernoulli beam under varying axial force is derived and verified. The varying axial force was extended to the more general case which was high polynomial consisted of many terms. The concepts of DTM were briefly introduced. Numerical calculations are carried out and compared with previous published results. The accuracy and the convergence in solving the problem by DTM are discussed.
Keywords
Euler-Bernoulli Beam; Differential Transformation; Varying Axial Force;
Citations & Related Records

Times Cited By Web Of Science : 1  (Related Records In Web of Science)
Times Cited By SCOPUS : 3
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