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Acta Mechanica Sinica

, Volume 29, Issue 4, pp 593–601 | Cite as

Single-pulse chaotic dynamics of functionally graded materials plate

  • Yu-Gao HuangfuEmail author
  • Fang-Qi Chen
Research Paper

Abstract

Single-pulse chaos are studied for a functionally graded materials rectangular plate. By means of the global perturbation method, explicit conditions for the existence of a Silnikov-type homoclinic orbit are obtained for this system, which suggests that chaos are likely to take place. Then, numerical simulations are given to test the analytical predictions. And from our analysis, when the chaotic motion occurs, there are a quasi-period motion in a two-dimensional subspace and chaos in another two-dimensional supplementary subspace.

Keywords

Functionally graded materials Single-pulse Melnikov’s method Homoclinic orbit Numerical simulation 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.College of Mathematics and Information ScienceHenan Polytechnic UniversityJiaozuoChina
  2. 2.Department of MathematicsNanjing University of Aeronautics and AstronauticsNanjingChina

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