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Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (11): 1359-1370.doi: https://doi.org/10.1007/s10483-010-1368-9

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Approximate analytical solutions and experimental analysis for transient response of constrained damping cantilever beam

胡明勇 王安稳 章向明   

  1. College of Science, Naval University of Engineering, Wuhan 430033, P. R. China
  • 收稿日期:2010-04-04 修回日期:2010-10-11 出版日期:2010-11-01 发布日期:2010-11-01

Approximate analytical solutions and experimental analysis for transient response of constrained damping cantilever beam

 HU Ming-Yong, WANG An-Wen, ZHANG Xiang-Ming   

  1. College of Science, Naval University of Engineering, Wuhan 430033, P. R. China
  • Received:2010-04-04 Revised:2010-10-11 Online:2010-11-01 Published:2010-11-01

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摘要： Vibration mode of the constrained damping cantilever is built up according to the mode superposition of the elastic cantilever beam. The control equation of the constrained damping cantilever beam is then derived using Lagrange’s equation. Dynamic response of the constrained damping cantilever beam is obtained according to the principle of virtual work, when the concentrated force is suddenly unloaded. Frequencies and transient response of a series of constrained damping cantilever beams are calculated and tested. Influence of parameters of the damping layer on the response time is analyzed. Analyitcal and experimental approaches are used for verification. The results show that the method is reliable.

Abstract: Vibration mode of the constrained damping cantilever is built up according to the mode superposition of the elastic cantilever beam. The control equation of the constrained damping cantilever beam is then derived using Lagrange’s equation. Dynamic response of the constrained damping cantilever beam is obtained according to the principle of virtual work, when the concentrated force is suddenly unloaded. Frequencies and transient response of a series of constrained damping cantilever beams are calculated and tested. Influence of parameters of the damping layer on the response time is analyzed. Analyitcal and experimental approaches are used for verification. The results show that the method is reliable.

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