Dynamic Substructuring of Damped Structures Using Singular Value Decomposition

[+] Author and Article Information
R. Ohayon

CNAM, 2 rue Conte, F-75003 Paris, France

R. Sampaio

Department of Mechanical Engineering, Pontificia Universidade Catolica do Rio de Janeiro, 22453-900 Rio de Janeiro, RJ, Brazil

C. Soize

Structures Department, ONERA, BP 72, F-92322 Chantillon Cedex, France

J. Appl. Mech 64(2), 292-298 (Jun 01, 1997) (7 pages) doi:10.1115/1.2787306 History: Received September 20, 1995; Revised January 17, 1997; Online October 25, 2007


This paper deals with the theoretical aspects concerning linear elastodynamic of damped continuum medium in the frequency domain. Eigenvalue analysis and frequency response function are studied. The methods discussed here use a dynamic substructuring approach. The first method is based on a mixed variational formulation in which Lagrange multipliers are introduced to impose the linear constraints on the coupling interfaces. A modal reduction of each substructure is obtained using its free-interface modes. A practical construction of a unique solution is carried out using the Singular Value Decomposition (SVD) related only to the frequency-independent Lagrange multiplier terms. The second method is similar to the first one replacing the free-interface modes by the fixed-interface modes and elastostatic operator on the interface of each substructure.

Copyright © 1997 by The American Society of Mechanical Engineers
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