Vibration analysis of the active multi-layer beams by using spectrally formulated exact natural modes
Author(s)
Author(s)
Lee, U.
Kim, J.
Date Issued
2001
Publisher
The Korean Society of Mechanical Engineers
Journal
Journal of Mechanical Science and Technology
Volume
15
Issue
2
Start page
199
End page
209
Abstract
Modal analysis method (MAM) is introduced for the fully coupled structural dynamic problems. In this paper, the beam with active constrained layered damping (ACLD) treatment is considered as a representative problem. The ACLD beam consists of a viscoelastic layer that is sandwiched between the base beam structure and an active piezoelectric layer. The exact damped natural modes are spectrally formulated from a set of fully coupled dynamic equations of motion. The orthogonality property of the exact damped natural modes is then derived in a closed form to complete the modal analysis method. The accuracy of the present MAM is evaluated through some illustrative examples: the dynamic characteristics obtained by the present MAM are compared with the results by spectral element method (SEM) and finite element method (FEM). It is numerically proved that MAM solutions become identical to the accurate SEM solutions as the number of exact natural used in MAM is increased.
SFU Affiliated Publication
No
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