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Structural Engineering and Mechanics Volume 37, Number 4, February25 2011 , pages 367-383 DOI: https://doi.org/10.12989/sem.2011.37.4.367 |
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Nonlinear vibration of hybrid composite plates on elastic foundations |
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Wei-Ren Chen, Chun-Sheng Chen and Szu-Ying Yu
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| Abstract | ||
| In this paper, nonlinear partial differential equations of motion for a hybrid composite plate subjected to initial stresses on elastic foundations are established to investigate its nonlinear vibration behavior. Pasternak foundation and Winkler foundations are used to represent the plate-foundation interaction. The initial stress is taken to be a combination of pure bending stress plus an extensional stress in the example problems. The governing equations of motion are reduced to the time-dependent ordinary differential equations by the Galerkin\'s method. Then, the Runge-Kutta method is used to evaluate the nonlinear vibration frequency and frequency ratio of hybrid composite plates. The nonlinear vibration behavior is affected by foundation stiffness, initial stress, vibration amplitude and the thickness ratio of layer. The effects of various parameters on the nonlinear vibration of hybrid laminated plate are investigated and discussed. | ||
| Key Words | ||
| initial stress; Winkler foundation; Pasternak foundation; hybrid composite plate. | ||
| Address | ||
| Wei-Ren Chen: Department of Mechanical Engineering, Chinese Culture University, Taipei 11114, Taiwan Chun-Sheng Chen: 2Department of Mechanical Engineering, Lunghwa University of Science and Technology, Guishan Shiang 33306, Taiwan Szu-Ying Yu: Department of Electrical Engineering, Lee Ming Institute of Technology, Taishan 24305, Taiwan | ||