Suppressing chaos by parametric perturbation at doubled frequency of periodic perturbation
Peng Jie-Hua (彭解华)ac, Tang Jia-Shi (唐驾时)a, Yu De-Jie (于德介)a, Hai Wen-Hua (海文华)b, Yan Jia-Ren (颜家壬)b
a Department of Mechanics, Hunan University, Changsha 410082, China; b Department of Physics, Hunan Normal University, Changsha 410081, China; c Department of Physics, Shaoyang Teachers College, Shaoyang 422000, China
Abstract An analysis of the chaos suppression of a nonlinear elastic beam (NLEB) is presented. In terms of modal transformation the equation of NLEB is reduced to the Duffing equation. It is shown that the chaotic behaviour of the NLEB is sensitively dependent on the parameters of perturbations and initial conditions. By adjusting the frequency of parametric perturbation to twice that of the periodic one and the amplitude of parametric perturbation to the same as the periodic one, the chaotic region of the nonlinear elastic beam driven by periodic force can be greatly suppressed.
Received: 20 February 2002
Revised: 11 June 2002
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 19874019), and the Natural Science Foundation of Hunan Province, China (Grant No 01JJY2007).
Cite this article:
Peng Jie-Hua (彭解华), Tang Jia-Shi (唐驾时), Yu De-Jie (于德介), Hai Wen-Hua (海文华), Yan Jia-Ren (颜家壬) Suppressing chaos by parametric perturbation at doubled frequency of periodic perturbation 2003 Chinese Physics 12 17
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