RESEARCH ARTICLE

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

  • Jing LU 1,2 ,
  • Yu XIANG , 2 ,
  • Qiao NI 1
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  • 1. College of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China
  • 2. Department of Automotive Engineering, Guangxi University of Technology, Liuzhou 545006, China

Received date: 12 Apr 2011

Accepted date: 30 Jul 2011

Published date: 05 Dec 2011

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg

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.

Cite this article

Jing LU , Yu XIANG , Qiao NI . Dynamic characteristics analysis of active constrained layer damping plate with various boundary conditions[J]. Frontiers of Mechanical Engineering, 2011 , 6(4) : 449 -455 . DOI: 10.1007/s11465-011-0240-0

Acknowledgments

This paper is supported by the National Natural Science Foundation of China (Grant No. 10662003) and Educational Commission of Guangxi Province of China (No. 200911MS120).
1
Gao J X, Shen Y P. Vibration and damping analysis of a composite plate with active and passive damping layer. Applied Mathematics and Mechanics, 1999, 20: 1075-1086

2
Park C H, Baz A. Comparison between finite element formulations of active constrained layer damping using classical and layer-wise laminate theory. Finite Elements in Analysis and Design, 2001, 37(1): 35-56

DOI

3
Liu T X, Hua H X, Zhang Z Y. Robust control of plate vibration via active constrained layer dampig. Thin-walled Structures, 2004, 42(3): 427-448

DOI

4
Xiang Y, Huang Y Y, Lu J, Yuan L Y, Zou S. New matrix method for analyzing vibration and damping effect of sandwich circular cylindrical shell with viscoelastic core. Applied Mathematics and Mechanics, 2008, 29(12): 1587-1600

DOI

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