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Dynamic characteristics analysis of active constrained layer damping plate with various boundary conditions

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Abstract

Considering the direct and converse piezoelectric effect, expressions of piezoelectric membrane internal forces in the piezoelectric constrained layer were given. The control equations of the piezoelectric constrained layer and host plate were obtained in according with the thin plate theory. Based on the layer wised principle, the integrated first order differential equation of an active constrained layer damping (ACLD) plate was derived for the simply supported boundary condition. Then, this method was expanded to the ACLD plate with cantilever boundary condition by virtue of geometric analogy method. Employing the extended homogeneous capacity precision integration approach, a high precision semi-analytical method was proposed to analyze the dynamic characteristics of the ACLD plate with various boundary conditions. The comparison with the literature results has verified the accuracy and effectiveness of the present method.

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Authors and Affiliations

  1. College of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan, 430074, China

    Jing Lu & Qiao Ni

  2. Department of Automotive Engineering, Guangxi University of Technology, Liuzhou, 545006, China

    Jing Lu & Yu Xiang

Authors
  1. Jing Lu
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  2. Yu Xiang
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  3. Qiao Ni
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Correspondence to Yu Xiang.

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Lu, J., Xiang, Y. & Ni, Q. Dynamic characteristics analysis of active constrained layer damping plate with various boundary conditions. Front. Mech. Eng. 6, 449–455 (2011). https://doi.org/10.1007/s11465-011-0240-0

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  • DOI: https://doi.org/10.1007/s11465-011-0240-0

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