Dynamic instability of shear-deformable viscoelastic laminated plates by lyapunov exponents

Authors

• Gabriel Cederbaum, Ben-Gurion University of the Negev
• Jacob Aboudi, Tel Aviv University
• Isaac Elishakoff, Florida Atlantic University

Author Type

Outside Researcher

Co-Author Type 1

Outside Researcher

Co-Author Type 2

Faculty

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Article

Publication/Event/Conference Title

International Journal of Solids and Structures

Publication Status

Version of Record

Abstract

The dynamic stability of viscoelastic laminated plates, subjected to a harmonic in-plane excitation, is analyzed. The viscoelastic behavior is caused by the polymeric matrix of the fiberreinforced material, and a micromechanical analysis provides the time-dependent relaxation functions of the unidirectional lamina. The Boltzmann representation involved in the stress-strain relations of the laminated plate leads to an integro-differential equation of motion, obtained within the first-order shear deformation theory. For this case, a dynamic stability analysis which employs the concept of Lyapunov exponents is performed, and is shown to be very efficient. © 1991.

First Page

317

Last Page

327

DOI

10.1016/0020-7683(91)90196-M

Publication Date

1-1-1991

Recommended Citation

Cederbaum, Gabriel; Aboudi, Jacob; and Elishakoff, Isaac, "Dynamic instability of shear-deformable viscoelastic laminated plates by lyapunov exponents" (1991). Faculty Scholarship. 602.
https://digitalcommons.fau.edu/faculty_papers/602