Approximate Analytical Solutions and Experimental Analysis of Transient Response of Constrained Damping Cantilever Beam

HU Ming-yong; WANG An-wen; ZHANG Xiang-ming

doi:10.3879/j.issn.1000-0887.2010.11.003

Volume 31 Issue 11

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HU Ming-yong, WANG An-wen, ZHANG Xiang-ming. Approximate Analytical Solutions and Experimental Analysis of Transient Response of Constrained Damping Cantilever Beam[J]. Applied Mathematics and Mechanics, 2010, 31(11): 1287-1296. doi: 10.3879/j.issn.1000-0887.2010.11.003

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Approximate Analytical Solutions and Experimental Analysis of Transient Response of Constrained Damping Cantilever Beam

doi: 10.3879/j.issn.1000-0887.2010.11.003

College of Science, Naval University of Engineering, Wuhan 430033, P. R. China

Received Date: 1900-01-01
Rev Recd Date: 2010-10-11
Publish Date: 2010-11-15

Abstract

Abstract

Vibration mode of constrained damping cantilever was built up according to elastic cantilever beam mode superposition.Then the control equation of constrained damping cantilever beam was derived by using Lagrange's equation.Dynamic response of the constrained damping cantilever beam was obtained according to the principle of virtual work,when the concentrated force was suddenly unloaded.Frequencies and transient response of a series of constrained damping cantilever beam were calculated and tested.The influence of parameters of the damping layer on the response time was analyzed.Resolution and experimental approach are considered.The results show that this method is reliable.
- constrained damping,
- cantilever beam,
- transient response,
- Lagrange’s equation,
- modes superposition

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References(9)

References

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