大学物理 ›› 2025, Vol. 44 ›› Issue (7): 30-.doi: 10.16854/j.cnki.1000-0712.240326

• 物理实验 • 上一篇    下一篇

音叉受迫振动与共振实验中幅频响应曲线的研究

任小芳,徐志林*,孙琪真,闫志君,张炯,杨光   

  1. 1. 华中科技大学 物理学院,湖北 武汉430074;2. 华中科技大学 光学与电子信息学院, 湖北 武汉430074
  • 收稿日期:2024-07-17 修回日期:2024-10-30 出版日期:2025-09-01 发布日期:2025-09-16
  • 作者简介:任小芳(1990 —),女,山西大同人,华中科技大学工程师,博士,从事大学物理实验技术研究工作.
  • 基金资助:
    华中科技大学实验技术研究项目(HZKJSYJSXM2024M042)、华中科技大学研究生教改项目

Study on amplitude-frequency response curvein tuning fork forced  vibration and resonance experiments

REN Xiaofang1, XU Zhilin1*, SUN Qizhen1,2, YAN Zhijun1,2, ZHANG Jiong 1, YANG Guang1   

  1. 1. Huazhong University of Science and Technology School of Physics, Hubei Wuhan 430074; 
    2. Huazhong University of Science and Technology School of optical and electronic information, Hubei Wuhan 430074, China
  • Received:2024-07-17 Revised:2024-10-30 Online:2025-09-01 Published:2025-09-16

摘要: 大学物理实验音叉受迫振动与共振中,现有教材和文献认为,采用电磁线圈作为传感器测得的音叉振动幅频响应曲线理论上是速度共振曲线,但实测幅频响应曲线与理想速度共振曲线的特性存在差异.本文理论分析并实验验证了实测幅频响应曲线与理想速度共振曲线之间特性差异的成因,结果表明,实测音叉作受迫振动的幅频响应曲线是在速度共振曲线的基础上,叠加了位移共振曲线的特征,该特征主要表现为:阻尼越大,音叉共振实验系统的共振频率越小;接收线圈到音叉臂的初始距离越近,位移共振对感应电压的贡献越大,从而共振频率随阻尼变化的斜率越大.本文研究结果对深入理解音叉受迫振动与共振实验涉及的物理规律具有重要意义,对完善大学物理实验教材中的受迫振动与共振实验也有所帮助.

关键词: 音叉, 受迫振动, 速度共振, 位移共振

Abstract: In university physics experiment of tuning fork forced vibration and resonance, the amplitude-frequency response curve measured by the electromagnetic coil should be the velocity resonance curve in theory, according to the existing textbooks and literature. However, there exists discrepancy between the characteristics of the measured amplitude-frequency response curve and the ideal velocity resonance curve. In this work, the reason for the discrepancy between the measured amplitude-frequency response curve and the ideal velocity resonance curve is theoretically analyzed and experimentally verified. The results reveal that the measured amplitude-frequency response curve is the superimposing of the velocity resonance curve the displacement resonance curve, where the characteristics of the displacement resonance curve is manifested as follows. The resonant frequency of the tuning fork resonance experimental system decreases with the increasing damping. Besides, the closer initial distance between the receiving coil and the tuning fork arm can induce the greater contribution of displacement resonance to the induced voltage, resulting in the larger the slope of the resonant frequency changing with the damping. The results are of great significance to understand the physical laws involved in the tuning fork forced vibration and resonance experiments, and are also helpful to improve the forced vibration and resonance experiments in college physics experimental textbooks.

Key words: tuning fork, forced vibration, speed resonance, displacement resonance