Analysis of bifurcations for a functionally graded materials plate

作者:Yu Weiqin*
来源:2nd International Conference on Mechatronics and Applied Mechanics (ICMAM2012), 2012-12-08 to 2012-12-09.
DOI:10.4028/www.scientific.net/AMM.300-301.988

摘要

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.

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