Component Modal Synthesis Methods Based on Hybrid Models, Part I: Theory of Hybrid Models and Modal Truncation Methods

[+] Author and Article Information
L. Jezequel, H. D. Seito

Laboratoire de Tribologie et de Dynamique des Systemes, URA CNRS 855, Ecole Centrale de Lyon, 36, av. Guy de Collongue, 69131 Ecully Cedex, France

J. Appl. Mech 61(1), 100-108 (Mar 01, 1994) (9 pages) doi:10.1115/1.2901383 History: Received January 30, 1991; Revised June 29, 1992; Online March 31, 2008


The assembly of structures along continuous boundaries poses great difficulties for expressing generalized boundary coordinates in modal synthesis, especially in the context of experiments. In order to solve such problems, a hybrid modal synthesis method is proposed in this study. This approach is based on the intermediate problem theory of Weinstein and brings out the duality between the formulation in displacement and the formulation in force. Generalized boundary coordinates are defined by introducing static deformations resulting from force distribution or displacement distribution along the boundaries depending on which formulation is to be used. By introducing integral operators associated with intermediate problems, two new methods of modal truncation can be proposed.

Copyright © 1994 by The American Society of Mechanical Engineers
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