杨亚政, 刘华. 层合板自由振动和强迫振动的三维精确解[J]. 力学与实践, 2008, 30(1): 23-26. DOI: 10.6052/1000-0992-2007-553
引用本文: 杨亚政, 刘华. 层合板自由振动和强迫振动的三维精确解[J]. 力学与实践, 2008, 30(1): 23-26. DOI: 10.6052/1000-0992-2007-553
THREE-DIMENSIONAL EXACT SOLUTION FOR FREE AND FORCED VIBRATIONS OF MULTILAYERED PLATES[J]. MECHANICS IN ENGINEERING, 2008, 30(1): 23-26. DOI: 10.6052/1000-0992-2007-553
Citation: THREE-DIMENSIONAL EXACT SOLUTION FOR FREE AND FORCED VIBRATIONS OF MULTILAYERED PLATES[J]. MECHANICS IN ENGINEERING, 2008, 30(1): 23-26. DOI: 10.6052/1000-0992-2007-553

层合板自由振动和强迫振动的三维精确解

THREE-DIMENSIONAL EXACT SOLUTION FOR FREE AND FORCED VIBRATIONS OF MULTILAYERED PLATES

  • 摘要: 主要基于三维弹性力学和状态空间法给出了四边简支各向同性矩形层合板自由振动和强迫振动问题的精确解. 首先基于三维弹性力学建立了层合板的基本方程,利用状态空间法解决了层合板的自由振动问题,然后根据Lagrange动力学方程求解了层合板受到横向冲击时的强迫振动响应.

     

    Abstract: Based on the three-dimensional theory of elasticity and the statespace approach, this paper studies the free vibration and forcedvibration of an isotropic multilayered rectangular plate with fouredges simply supported. Firstly, on the basis of the theory ofelasticity,the governing equations of a multilayered plate are established and the freevibration response of the laminated panel is obtained by the state spaceapproach. Then the dynamic response of the multilayered plate subjected toan impact loading is obtained from Lagrangian dynamic formulations.

     

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