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用积分平均方法求解压电圆柱壳内波的轴向传播 被引量:4

Solving Wave Propagation along Axis Direction in Piezoelectric Hollow Cylinder by Integral Average Method
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摘要 对压电圆柱壳体内波的轴向传播进行了研究。应用积分平均方法得到了一组位移和电势耦合的拟二维动力学方程 ,并且求解了这组方程。发现当波沿着圆柱壳体轴向传播时 ,物质的径向运动、轴向运动和电势的变化相互耦合 ,伴有频散现象 ;但是扭转运动可以独立表示 ,并且同电场无关 ,无频散现象。在得到频散关系的基础上 ,通过数值计算模拟出压电圆柱壳体在受到端部轴向应力脉冲激励后壳体内的轴向应力和电势分布图。还讨论了压电圆柱壳体半径比对波传播的影响。 The wave propagation along axis direction in piezoelectric hollow cylinder is studied. Using integral average method, the author derives a group of differential equations, which are about displacements and electric potential. It shows that when wave propagates along axis direction, the displacements of radial, axis direction and the change of electric field are coupling each other, and there is dispersing phenomenon, and the displacement of circle direction can figure out independently, it has not dispersing phenomenon. At last the instantaneous responses under a stress pulse at the end are simulated numerically. The effect of the radius ratios of the hollow cylinder to the wave propagation is also discussed.
出处 《北京大学学报(自然科学版)》 EI CAS CSCD 北大核心 2005年第1期76-81,共6页 Acta Scientiarum Naturalium Universitatis Pekinensis
基金 国家自然科学基金 (10 172 0 0 4 10 2 32 0 4 0 )资助项目
关键词 积分平均方法 压电圆柱壳 瞬态响应 integral average method piezoelectric hollow cylinder instantaneous response
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参考文献3

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  • 3Ding H J, Xu R Q, Chen W Q. Free Vibration of Transversely Isotropic Piezoelectric Circular Cylindrical Panels. Int J Mechanical and Science, 2002,44 (1): 191-206.

同被引文献40

  • 1魏建萍,苏先樾.压电空心圆柱中波的传播[J].力学学报,2004,36(4):484-490. 被引量:6
  • 2魏建萍,苏先樾.圆柱状压电压磁复合材料中波的传播和能量输送[J].北京大学学报(自然科学版),2006,42(3):310-314. 被引量:6
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