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beam structures

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1 results

Dynamic Responses of Two Beams Connected by a Spring-Mass Device
H.- P. Lin, D. Yang
Journal:

Journal of Mechanics / Volume 29 / Issue 1 / March 2013

Published online by Cambridge University Press:

16 October 2012, pp. 143-155

Print publication:

March 2013
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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.