航空学报 > 1989, Vol. 10 Issue (10): 545-552

压电陶瓷短圆柱耦合振动的研究

崔秀庭, 梁家惠, 邬铭新   

  1. 北京航空航天大学
  • 收稿日期:1988-02-10 修回日期:1900-01-01 出版日期:1989-10-25 发布日期:1989-10-25

THE STUDY OF THE RADIAL-AXIAL COUPLING VIBRATION FOR PIEZOELECTRIC-CERAMICS-CYLINDRICAL-VIBRATOR

Cui Xiuting, Liang Jiahui, Wu Mingxin   

  1. Beijing University of Aeronautics and Astronautics
  • Received:1988-02-10 Revised:1900-01-01 Online:1989-10-25 Published:1989-10-25

摘要:

压电陶瓷圆柱振子的振动问题,由于厚向振动和径向振动之间的耦合作用,使问题变得非常复杂。迄今为止,许多研究者在这方面所做的工作,大体上可分为两类:一类是从各向同性圆柱体振动的近似解出发,求解压电陶瓷圆柱振子的振动问题;另一类是从压电陶瓷圆柱振子的压电本构方程组和运动方程组出发,利用数学上的伴随算子法计算其数值解。这两种方法不仅运算过程都相当复杂,而且都不能直观地反映出压电振子的物理参数的影响。

关键词: 压电传感器, 声传感器, 各向异性圆柱振子

Abstract:

In this paper we have obtained a zero-order approximate solution of the partial differential equations with the separation of variables for the piezoelectric-ceramics-cylindrical vibrator on the assumptions of D1 =0 and D3=const. Using this solution, the modification of electric displacement D caused by the inverse piezoelectric effect can be calculated by the charge -continuity equation. By substituting the modificative D in the above partial differential equations, we get a first-order approximate solution for the vibrator. The theoretical solution is in agreement with the experimental measurements.

Key words: piezoelectric transducers, sound transducers, anisotropic cylindrical vibrator