A Modified MSE Method for Viscoelastic Systems: A Weighted Stiffness Matrix Approach

[+] Author and Article Information
B.-G. Hu, M. A. Dokainish, W. M. Mansour

McMaster University, Hamilton, Ontario, Canada

J. Vib. Acoust 117(2), 226-231 (Apr 01, 1995) (6 pages) doi:10.1115/1.2873923 History: Received May 01, 1993; Revised October 01, 1993; Online February 26, 2008


The conventional Modal Strain Energy method (MSE is briefly discussed. Several indices are proposed to characterize a viscoelastically damped system. An Overall Error Index is proposed to assess the accuracy of the solution. A Modified MSE method is developed for a better evaluation of modal damping. Instead of neglecting the damping stiffness matrix in the determination of the eigenvectors, as is the case in the conventional MSE method, the authors used a weighted matrix to solve a real eigenvalue problem. With such modification the estimation of the modal damping is often improved. Numerical simulation of multi degree-of-freedom systems are reported using the proposed Modified MSE method and the indices.

Copyright © 1995 by The American Society of Mechanical Engineers
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