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Acta Mechanica Solida Sinica

, Volume 23, Issue 4, pp 312–323 | Cite as

Approximate Solutions for Transient Response of Constrained Damping Laminated Cantilever Plate

  • Liuwei Mao
  • Anwen Wang
  • Mingyong Hu
Article

Abstract

Theseries composed by beam mode function is used to approximate the displacement function of constrained damping of laminated cantilever plates, and the transverse deformation of the plate on which a concentrated force is acted is calculated using the principle of virtual work. By solving Lagrange’s equation, the frequencies and model loss factors of free vibration of the plate are obtained, then the transient response of constrained damping of laminated cantilever plate is obtained, when the concentrated force is withdrawn suddenly. The theoretical calculations are compared with the experimental data, the results show: both the frequencies and the response time of theoretical calculation and its variational law with the parameters of the damping layer are identical with experimental results. Also, the response time of steel cantilever plate, unconstrained damping cantilever plate and constrained damping cantilever plate are brought into comparison, which shows that the constrained damping structure can effectively suppress the vibration.

Key words

constrained damping cantilever plate damping laminated plate transient response beam mode function combination 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2010

Authors and Affiliations

  1. 1.College of ScienceNaval University of EngineeringWuhanChina

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