A Natural Modes Model and Modal Identities for Damped Linear Structures

[+] Author and Article Information
F. R. Vigneron

Communications Research Centre, Ottawa, Canada, K2H 8S2

J. Appl. Mech 53(1), 33-38 (Mar 01, 1986) (6 pages) doi:10.1115/1.3171734 History: Received June 11, 1985; Revised September 13, 1985; Online July 21, 2009


A modal model is derived for a passive elastic structure with linear viscous damping, from a first-order state variable arrangement of the physical parameters model. The state variable form of the model is composed using the equations Kq̇ − Kq̇ = 0 and Mq̈ + Cq̇ + Kq = f . An attribute of the particular formulation is that it facilitates a straightforward derivation of mass-properties-related modal identities for the associated damped natural modes. Transfer functions and normalizations used in experimental modal parameter estimation are also given special attention.

Copyright © 1986 by ASME
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