A Time Domain Substructure Synthesis Method for Viscoelastic Structures-Reference-Cited by-同舟云学术

A Time Domain Substructure Synthesis Method for Viscoelastic Structures

Published:1995-06-01 Issue:2 Volume:62 Page:407-413
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Qian Duan¹,Hansen J. S.²

Affiliation:

1. de Havilland, Inc., Downsview, ON M3K 1Y5, Canada

2. Institute for Aerospace Studies, University of Toronto, Toronto, ON M3H 5T6, Canada

Abstract

The method of substructure synthesis, originally conceived for undamped and viscously damped systems, has been extended to systems with viscoelastic damping in the hereditary integral form. Based on a new variational principle, the substructure synthesis method is formulated in the time domain. The displacement in each substructure is represented by a set of real admissible trial vectors. The traditional state space formulation is avoided by the proposed method so that the approach is independent of the form of viscoelastic models. Effectiveness of the method is illustrated through numerical examples.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/62/2/407/5464323/407_1.pdf

Reference17 articles.

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2. Biot M. A. , 1954, “The Theory of Stress-Strain Relations in Anisotropic Viscoelasticity and Relaxation Phenomena,” Journal of Applied Physics, Vol. 25, pp. 1385–1391.

3. Christensen, R. M., 1982, Theory of Viscoelasticity, Academic Press, New York.

4. Craig R. R. , and NiZ., 1989, “Component Mode Synthesis for Model Order Reduction of Nonclassically Damped Systems,” Journal of Guidance, Control and Dynamics, Vol. 12, pp. 577–584.

5. Dowell E. H. , 1972, “Free Vibration of an Arbitrary Structure in Term of Component Modes,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 39, pp. 727–732.

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