航空学报 > 1994, Vol. 15 Issue (9): 1070-1076

叠层环板轴对称自由振动的精确解

范家让   

  1. 合肥工业大学建筑工程系,合肥,230009
  • 收稿日期:1993-03-23 修回日期:1993-09-30 出版日期:1994-09-25 发布日期:1994-09-25

EXACT SOLUTIONS FOR AXISYMMETRIC FREE VIBRATIONS OF LAMINATED ANNULAR PLATES

Fan Jiarang   

  1. Department of Architecture Engineering,Hefei University of Technology,Hefei, 230009
  • Received:1993-03-23 Revised:1993-09-30 Online:1994-09-25 Published:1994-09-25

摘要: 抛弃任何有关位移或应力模式的人为假设,从三维弹性力学基本方程出发,导出横观各向同性环板轴对称振动问题的状态方程。在多种边界条件下,给出单层、叠层环板轴对称振动问题的精确解。

关键词: 层压板, 共振频率, 状态方程

Abstract: Discarding any assumptions about displacement models and stress distribution and based on fundamental equations of three-dimensional elasticity,the state equations for the ax-isymmetric vibrations of transversely isotropic annular plates are established.The exact solu-tions are presented for the axisymmetirc vibrations of single-layer and laminated annular plates with several different boundary conditions.

Key words: laminates, resonant frequencies, equations of state

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