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

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

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 varyi...

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Veröffentlicht in:Journal of mechanical science and technology 2006, Vol.20 (2), p.191-196
Hauptverfasser: Shin Young-Jae, Yun Jong-Hak
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Yun Jong-Hak
description 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.
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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. 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title Transverse Vibration of a Uniform Euler-Bernoulli Beam Under Varying Axial Force Using Differential Transformation Method
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