力学与实践 ›› 2008, Vol. 30 ›› Issue (1): 23-26.DOI: 10.6052/1000-0992-2007-553

• 应用研究 • 上一篇    下一篇

层合板自由振动和强迫振动的三维精确解

杨亚政 刘华   

  1. 中国科学院力学研究所,北京 100080 北京航空航天大学,固体力学研究所,北京 100083
  • 收稿日期:2007-12-03 修回日期:1900-01-01 出版日期:2008-02-08 发布日期:2008-02-08

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

  • Received:2007-12-03 Revised:1900-01-01 Online:2008-02-08 Published:2008-02-08

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 state space approach, this paper studies the free vibration and forced vibration of an isotropic multilayered rectangular plate with four edges simply supported. Firstly, on the basis of the theory of elasticity, the governing equations of a multilayered plate are established and the free vibration response of the laminated panel is obtained by the state space approach. Then the dynamic response of the multilayered plate subjected to an impact loading is obtained from Lagrangian dynamic formulations.