琴弦在点驱动力作用下受迫振动的研究

王一鸣, 宋睿, 刘济尘, 孙笛家

doi:10.16854/j.cnki.1000-0712.210337

大学物理 >

2022 , Vol. 41 >Issue 5: 9

DOI: https://doi.org/10.16854/j.cnki.1000-0712.210337

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琴弦在点驱动力作用下受迫振动的研究

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1.中国刑事警察学院公安信息技术与情报学院，辽宁沈阳110854；2. 中国刑事警察学院侦查与反恐怖学院，辽宁沈阳110854

王一鸣（1989—），男，山东聊城人，中国刑事警察学院公安信息技术与情报学院讲师，博士，主要从事物理声学和司法语音检验研究和教学工作

收稿日期: 2021-07-19

修回日期: 2021-11-01

网络出版日期: 2022-05-10

基金资助

中央高校基本科研业务费博士启动项目（D2019015）；2020年度辽宁省自然科学基金国家重点实验室项目（2020-KF-12-11）资助

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Research on forced vibration of strings under point driving force

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1 . School of police information technology, Criminal Investigation Police University of China, Shenyang, Liaoning 100854, China; 2. School of investigation, Criminal Investigation Police University of China, Shenyang, Liaoning 100854, China

Received date: 2021-07-19

Revised date: 2021-11-01

Online published: 2022-05-10

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摘要

利用Dirac δ函数构建了无阻尼琴弦在周期性点驱动力作用下的受迫振动方程，给定边界条件并对其进行求解.导出了该模型解的具体形式，并分析了外加驱动力的频率对体系振幅的影响.发现了共振、反共振以及伪共振现象，确定了3种现象发生的条件.并设计实验对共振与伪共振现象的发生条件进行验证，实验结果与理论预期相符合.

关键词： 点驱动力; 受迫振动; 共振; 反共振; 伪共振

本文引用格式

王一鸣, 宋睿, 刘济尘, 孙笛家 . 琴弦在点驱动力作用下受迫振动的研究[J]. 大学物理, 2022 , 41(5) : 9 . DOI: 10.16854/j.cnki.1000-0712.210337

Abstract

In this paper,the equation of forced vibration of the undamping strings driven by a periodic driving force was established by means of Dirac δ function. The equation is solved with boundary conditions. The solution is shown and the influence of frequency on amplitude was analyzed. Resonance, antiresonance and pseudoresonance were found, and the conditions of the three phenomenons are determined. At last, the experiments on verifying the conditions of resonance and pseudoresonance are designed, the experiment results are consistent with theoretical predictions．

Key words： point driving force; forced vibration; resonance; anti-resonance; pseudo-resonance

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