Bifurcation analysis of a nonlinear viscoelastic panel |
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| Institution: | 1. Department of Mechanics, College of Traffic and Communications, South China University of Technology, Guangzhou 510641, China;2. Institute of Vibration Engineering Research, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;1. Department of Physics, School of Physics Science and Technology, Central South University, Changsha 410083, Hunan, China;2. Library, Honghe University, Mengzi 661100, Yunnan, China;3. Department of Physics, Hunan University of Science and Technology, Xiangtan 411201, Hunan, China;1. Boeing Satellite Systems, Inc., El Segundo, CA 90245, USA;2. Department of Aerospace Engineering, University of Illinois at Urbana–Champaign, Urbana, IL 61801, USA |
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| Abstract: | The dynamic behavior of a nonlinear viscoelastic panel subjected to a simple harmonic excitation is studied. Using the Galerkin principle, the double mode model is presented in this paper. The bifurcation behavior of the panel is examined in detail in the case of internal response. The method of averaging is used to derive a set of autonomous equations. The averaged differential equations are then examined to determine their bifurcation behavior. Finally, the results of theoretical analysis are numericaly verified. |
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