摘要
本文建立了威尔伯福斯摆上下振动与扭转摆动耦合共振的数学模型,并分析了其相关影响因素;通过搭建实验系统,用PASCO传感器观测其运动模式,基于控制变量法进行了探究.研究结果表明,摆上下振动和扭转摆动之间存在共振性的能量转化,摆锤的转动惯量会对其运动状态产生影响,且两种运动的耦合导致了“拍”现象的出现.
In this paper, a mathematical model of the coupled resonance between the up-and-down vibration and torsional swing of the Wilberforce pendulum is established, and its related influencing factors are analyzed. By building an experimental system, the motion mode of the Wilberforce pendulum is observed with the PASCO sensor, and the research is carried out based on the control variable method. The research results show that there is a resonant energy conversion between the up-and-down vibration of the pendulum and the torsional swing, and the rotational inertia of the pendulum will affect the motion state of the pendulum, and it is concluded that the coupling of the two motions leads to the “beat” phenomenon.
作者
王世航
张嘉宁
周伟
李书光
李静
王龙
WANG Shi-hang;ZHANG Jia-ning;ZHOU Wei;LI Shu-guang;LI Jing;WANG Long(Faculty of Science,China University of Petroleum(eastern China),Qing Dao,Shandong 266580)
出处
《大学物理》
2022年第9期51-55,共5页
College Physics
基金
中国石油大学(华东)大学生创新训练项目(202012056)
中国石油大学(华东)基础课程振兴计划
中国石油大学(华东)教改项目(KC-202054)
中国石油大学(华东)探究性实验建设项目(TJ-202113)资助。
关键词
威尔伯福斯摆
耦合共振
能量转化
“拍”现象
Wilberforce pendulum
coupled resonance
energy conversion
“shooting”phenomenon
