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Research Papers

Dynamic Substructuring Based on a Double Modal Analysis

[+] Author and Article Information
S. Besset1

LTDS,  Équipe D2S UMR CNRS 5513, École Centrale de Lyon, 36 av. Guy de Collongue, 69134 Ecully Cedex, Francesebastien.besset@ec-lyon.fr

L. Jézéquel

LTDS,  Équipe D2S UMR CNRS 5513, École Centrale de Lyon, 36 av. Guy de Collongue, 69134 Ecully Cedex, France

1

Corresponding author.

J. Vib. Acoust 130(1), 011008 (Nov 12, 2007) (5 pages) doi:10.1115/1.2346698 History: Received February 06, 2006; Revised July 12, 2006; Published November 12, 2007

Modal synthesis methods have long been studied because the use of generalized coordinates makes it possible to reduce calculation costs. Our approach uses modes to describe each part of the assembly of several substructures. This method, called “Double Modal Synthesis,” is presented through primal and dual formulations. As modal truncation usually introduces a lack of precision, we will use an ω2 development if necessary. These formulations will first be explained using a continuous formulation. A finite element method will then be proposed. Another aim of the paper is to introduce formulations needed to understand the multimodal analysis methods that will be presented in a forthcoming paper.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 2

Finite elements model used for calculus

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Figure 3

Results and comparison

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Figure 1

Boundary conditions of the structure

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