Modal analysis method for viscoelastically damped laminated structures with frequency-dependent damping

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (14) : 208-213.

ZHOU Hang ¹,XIAO Jinyou²,XU Chao²

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Abstract

The modal analysis in structure dynamics can be summed up as solving the eigen problems of matrices in mathematics. A numerical method for solving the nonlinear eigen problems (NEPs) in finite element analysis was introduced, namely RSRR. In the method, by sampling the inverse matrix of the system matrix, a reliable eigenspace was constructed to solve the NEPs, which has better stability and higher precision than the existing eigenvalue solving method based on the contour integral. It is simple and convenient to establish the finite element model of viscoelastic damping structures by using the Layerwise plate element based on the Layerwise discrete plate theory. Combined with the Layerwise plate element modeling method, the RSRR was extended to solve the NEPs of viscoelastic damping structures. The results show that the RSRR has high accuracy and good stability, and is an efficient numerical method for the modal analysis of viscoelastic damping structures

Key words

viscoelastic / modal analysis / Rayleigh-Ritz method；Layerwise plate element

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ZHOU Hang 1,XIAO Jinyou2,XU Chao2. Modal analysis method for viscoelastically damped laminated structures with frequency-dependent damping[J]. Journal of Vibration and Shock, 2018, 37(14): 208-213

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