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Nonlinear vibration analysis of a traveling string with time‐dependent length by finite element method

 

作者: Rong‐Fong Fung,   Pao‐Hsii Wang,   Ming‐Jer Lee,  

 

期刊: Journal of the Chinese Institute of Engineers  （Taylor Available online 1998）
卷期: Volume 21, issue 1  

页码: 109-117

 

ISSN:0253-3839

 

年代: 1998

 

DOI:10.1080/02533839.1998.9670376

 

出版商: Taylor & Francis Group

 

关键词: vibrating string;nonlinear vibration;time‐dependent length;finite element method

 

数据来源: Taylor

 

摘要:

In this paper, the nonlinear vibrations of string with time‐varying length and a weight at one end are investigated. A set of nonlinear, time‐varying differential equations describing this system was derived by using Hamilton's principle. An approximated model was made by variable‐domain finite element formulation. Numerical results are presented for the parabolic and sinusoidal axial‐motions of the string. Finally, the linear and nonlinear effects on the transient amplitudes are also compared.

 

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