摘要
利用Diracδ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.
In this paper,the equation of forced vibration of the undamping strings driven by a periodic driving force was established by means of Diracδfunction.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.
作者
王一鸣
宋睿
刘济尘
孙笛家
WANG Yi-ming;SONG Rui;LIU Ji-chen;SUN Di-jia(School of police information technology,Criminal Investigation Police University of China,Shenyang,Liaoning 100854,China;School of investigation,Criminal Investigation Police University of China,Shenyang,Liaoning 100854,China)
出处
《大学物理》
2022年第5期9-12,62,共5页
College Physics
基金
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。
关键词
点驱动力
受迫振动
共振
反共振
伪共振
point driving force
forced vibration
resonance
anti-resonance
pseudo-resonance
