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Dynamic Responses of Two Beams Connected by a Spring-Mass Device

Published online by Cambridge University Press:  16 October 2012

H.- P. Lin  and
D. Yang
H.- P. Lin*
Affiliation:
Department of Mechanical and Automation Engineering, Da-Yeh University, Changhua, Taiwan 51591, R.O.C
D. Yang
Affiliation:
School of Automobile Engineering, Harbin Institute of Technology at Weihai, Shandong, China, P.R.O.C
*
*Corresponding author (linhp@mail.dyu.edu.tw)
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Abstract

This paper deals with the transverse free vibrations of a system in which two beams are coupled with a spring-mass device. The dynamics of this system are coupled through the motion of the mass. The entire system is modeled as two two-span beams and each span of the continuous beams is assumed to obey the Euler-Bernoulli beam theory. Considering the compatibility requirements across each spring con-nection position, the eigensolutions (natural frequencies and mode shapes) of this system can be obtained for different boundary conditions. Some numerical results and experimental validations are presented to demonstrate the method proposed in this article.

Keywords

Beam structuresSpring-mass systemEigensolutionsNatural frequenciesMode shapes
Type
Articles
Information
Journal of Mechanics , Volume 29 , Issue 1 , March 2013 , pp. 143 - 155
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2012

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References

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