幂函数剖面薄圆环振子的扭转振动特性  

An annular ultrasonic resonator with power function profile and FEM simulation for its torsional vibration

作　　者：苏超[1] 刘世清[1] 王家涛[1] 

机构地区：[1]浙江师范大学数理与信息工程学院,浙江金华321004

出　　处：《浙江师范大学学报（自然科学版）》2012年第3期284-289,共6页Journal of Zhejiang Normal University:Natural Sciences

基　　金：国家自然科学基金资助项目(11074222);浙江师范大学研究生创新科研项目(ZC316011063)

摘　　要：对剖面厚度按幂函数变化的薄圆环振子的扭转振动进行了理论分析,导出了其等效电路;进而由等效电路得出了扭转振动频率方程及共振频率表达式;探讨了环形振子第1、第2阶共振频率及角位移放大系数与其半径比的关系;给出了薄圆环振子第1、第2阶共振频率及放大系数与其半径比的拟合关系曲线.通过有限元(FEM)模态的分析,表明理论结果与FEM仿真结果吻合,对环形扭转振子的工程设计具有参考价值.The torsional vibration of thin annular resonator with power function profile was studied and the equivalent circuit was derived, the resonance frequency equation and the resonance frequency were obtained. By means of the numerical methods, the relationships between resonance frequencies, torsional displacement amplitude magnification coefficient of the resonator at the first and second order vibration modal and their radii were analyzed. Verified by FEM, it was showed that the theoretical values basically agreed with the simulation results of FEM, which suggested some helpful rules for the engineering designs and calculations of annular torsional resonator.

关 键 词：圆环振子 超声扭转振动 等效电路 振动系统 振动模态 

分 类 号：O413.1[理学—理论物理]