Construction of a Consistent Damping Matrix

[+] Author and Article Information
K. J. Buhariwala, J. S. Hansen

Institute for Aerospace Studies, University of Toronto, 4925 Dufferin Street, Downsview, Ontario, Canada, M3H 5T6

J. Appl. Mech 55(2), 443-447 (Jun 01, 1988) (5 pages) doi:10.1115/1.3173696 History: Received May 21, 1986; Revised October 06, 1987; Online July 21, 2009


A general method for constructing a material damping matrix in dynamical systems based on viscoelastic assumptions is presented. A generalization of the classical lamination theory, in particular, the consideration of viscoelasticity in the constitutive relation is considered. The discretized equations of motion for a laminated anisotropic viscoelastic plate using the finite-element method are derived. The mass, damping and stiffness matrices are completely defined and arise consistently in the formulation of motion equations. The technique is illustrated by calculating the mass, damping and stiffness matrices of a graphite-reinforced epoxy shell element. The eigenvalues are then calculated for the resulting eigenproblem.

Copyright © 1988 by ASME
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