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《Journal of Dynamics and Control》 2007-04
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STUDY ON NONLINEAR VIBRATION AND STABILITY OF AXIALLY MOVING PLATES

Yin Zhenkun Chen Shuhui(Department of Applied Mechanics and Engineering,Sun Yat-sen University,Guangzhou 510275,China)  
The laterally nonlinear vibration of axially moving plates was analyzed by the incremental harmonic balance(IHB)method.Firstly,the motion equations of an axially moving plate were derived by Hamilton principle.Then,the Galerkin method was employed to discretize the governing equations,and the IHB method was applied to solve the nonlinear equations.Finally,the Floquet theory and Hsu's method were used to investigate the stability of the solution.The free vibrations and the forced responses of an axially moving plate with internal resonance were studied.The effects of aspect ratio of plate were also discussed.
【Fund】: 国家自然科学基金资助项目(10272117 10672193);; 广东省自然科学基金资助项目(04009738);; 中山大学高等学术研究中心基金资助项目(06M13)~~
【CateGory Index】: O322
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