COMPLEX EIGENVALUE ANALYSIS FOR STRUCTURES WITH VISCOELASTIC BEHAVIOR.

Gaël Chevallier (1, 2) , Franck Renaud (1) , Jean-Luc Dion (1)

1 LISMMA - Laboratoire d'Ingénierie des Systèmes Mécaniques et des MAtériaux
2 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174)

This document deals with a method for eigenvalue extraction for the analysis of structures with viscoelastic materials. A generalized Maxwell model is used to model linear viscoelasticity. Such kind of model necessitates a state-space formulation to perform eigenvalue analysis with standard solvers. This formulation is very close to ADF formulation. The use of several materials on the same structure and during the same analysis may lead to a large number of internal states. This article purpose is to identify simultaneously all the viscoelastic materials and to constrain them to have the same time-constants. As it is usually possible, the size of the state-space problem is therefore widely reduced. Moreover, an accurate method for reducing mass and stiffness operators is proposed; The enhancement of the modal basis allows to obtain good results with large reduction. As the length of the paper is limited, only theoretical development are presented in the present paper while numerical results will be presented in the conference.

Mots clés: Viscoelasticity; complex modal analysis; state-space formulation; finite element

Domaines: Vibrations [physics.class-ph]; Vibrations [physics.class-ph]

Gaël Chevallier, Franck Renaud, Jean-Luc Dion. COMPLEX EIGENVALUE ANALYSIS FOR STRUCTURES WITH VISCOELASTIC BEHAVIOR.. ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference (IDETC/CIE2011), Aug 2011, Washington, France. pp.561-569, ⟨10.1115/DETC2011-48897⟩. ⟨hal-00711373⟩