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Citation:
　Zhuang Wang,Ming Hong,Junchen Xu and Hongyu Cui.Analytical and Experimental Study of Free Vibration of Beams Carrying Multiple Masses and Springs[J].Journal of Marine Science and Application,2014,(1):32-40.[doi:1671-9433(2014)01-0032-09]
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Analytical and Experimental Study of Free Vibration of Beams Carrying Multiple Masses and Springs

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Title:
Analytical and Experimental Study of Free Vibration of Beams Carrying Multiple Masses and Springs
Author(s):
Zhuang Wang ;  Ming Hong;  Junchen Xu and Hongyu Cui
Affilations:
Author(s):
Zhuang Wang ;  Ming Hong;  Junchen Xu and Hongyu Cui
School of Naval Architecture Engineering, Dalian University of Technology, Dalian 116024
Keywords:
elastic beams;  concentrated masses;  springs;  natural frequencies;  mode shape functions;  free vibration;  NExT-ERA;  modal identification
分类号:
-
DOI:
1671-9433(2014)01-0032-09
Abstract:
The structures in engineering can be simplified into elastic beams with concentrated masses and elastic spring supports. Studying the law of vibration of the beams can be a help in guiding its design and avoiding resonance. Based on the Laplace transform method, the mode shape functions and the frequency equations of the beams in the typical boundary conditions are derived. A cantilever beam with a lumped mass and a spring is selected to obtain its natural frequencies and mode shape functions. An experiment was conducted in order to get the modal parameters of the beam based on the NExT-ERA method. By comparing the analytical and experimental results, the effects of the locations of the mass and spring on the modal parameter are discussed. The variation of the natural frequencies was obtained with the changing stiffness coefficient and mass coefficient, respectively. The findings provide a reference for the vibration analysis methods and the lumped parameters layout design of elastic beams used in engineering.

References:

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Memo

Memo:
Supported by the National Natural Science Foundation of China (51109034).
Last Update: 2014-11-04