A fully coupled electro-mechanical model based on transfer matrix method for vibration control of circular cylindrical shell with active constrained layer damping

LI Xiao-ni;XIANG Yu;HUANG Yu-ying;YUAN Li-yun;LU Jing;

Journal of Vibration and Shock ›› 2011, Vol. 30 ›› Issue (6) : 147-152.

PDF(1175 KB)
PDF(1175 KB)
Journal of Vibration and Shock ›› 2011, Vol. 30 ›› Issue (6) : 147-152.
论文

A fully coupled electro-mechanical model based on transfer matrix method for vibration control of circular cylindrical shell with active constrained layer damping

  • LI Xiao-ni1,2;XIANG Yu1;HUANG Yu-ying2;YUAN Li-yun1,2;LU Jing1,2
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Abstract

The commonly used model for dynamics analysis of the shell with active constrained layer damping (ACLD) is a simply coupled electro-mechanical model (SCEM). In this model the electric field is assumed to be negligible in the in-plane directions of piezoelectric layer and to be constant throughout the thickness in the normal direction. The reason for ineffectiveness of SCEM is firstly analyzed theoretically. A fully coupled electro-mechanical model(FCEM) is further developed. Then a first-order differential matrix equation for FCFM of thin ACLD circular cylindrical shell is derived. A high precision and high efficiency transfer matrix method based on the extended homogeneous capacity precision integration approach is employed to solve the matrix equation. Compared with the classical 3D method, the proposed method can greatly simplify computation, and be applied to analyze the vibration control problems of thin circular cylindrical shell partially treated with ACLD under arbitrary boundary conditions as well. Numerical results are given to compare with two kinds of models(SCEM and FCEM) at a wider frequency range. Both models agree exactly in the low-frequency range, whereas differ significantly in the high-frequency range. This confirms sufficiently SCME is only applicable to low-frequency vibration problems while FCEM can be used at a wider frequency range

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LI Xiao-ni;XIANG Yu;HUANG Yu-ying;YUAN Li-yun;LU Jing;. A fully coupled electro-mechanical model based on transfer matrix method for vibration control of circular cylindrical shell with active constrained layer damping[J]. Journal of Vibration and Shock, 2011, 30(6): 147-152
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