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Indexed by:期刊论文

Date of Publication:1999-05-01

Journal:APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION

Included Journals:SCIE

Volume:20

Issue:5

Page Number:503-512

ISSN No.:0253-4827

Key Words:laminated plate; vibration; buckling; initial imperfection; coupling effect; nonlinear dynamic stability

Abstract:In this paper, the influence of initial imperfection and coupling between bending and extension on vibration, buckling and nonlinear dynamic stability of laminated plates is studied. The governing equation is derived. It is a nonlinear modified Mathieu Equation. Numerical solutions of 5 typical composite materials namely, Glass-epoxy Scotch-1002, Aramid-epoxy Kevlar-49, Boron-epoxy B4-5505, Graphite-epoxy T300-5208 and AS-3501 are computed. Results reveal that the existence of initial imperfection, and also coupling effect, make the plates much more sensitive to entering parametric resonance with amplitude greater than that of perfect plates. Coupling effect for different composite laminates, especially, for that with few layers, is different. If coupling effect is neglected, the design of plate structures for buckling and dynamic stability would unconservatively be for more than 10%.