Analysis of Bifurcations for a Functionally Graded Materials Plate

Abstract:

Using the analytical and numerical approaches, the nonlinear dynamic behaviors in the vicinity of a compound critical point are studied for a simply supported functionally graded materials (FGMs) rectangular plate. Normal form theory, bifurcation and stability theory are used to find closed form solutions for equilibria and periodic motions. Stability conditions of these solutions are obtained explicitly and critical boundaries are also derived. Finally, numerical results are presented to confirm the analytical predictions

• Periodical: Applied Mechanics and Materials (Volumes 300-301)
• Pages: 988-991
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.300-301.988
• Online since: February 2013
• Authors: Wei Qin Yu
• Keywords: Bifurcation, Functionally Graded Material Plate, Normal Form, Stability

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