利用韦尔伯福斯摆测量弹簧材料的泊松比  

Measuring Poisson ratio of spring material by Welberforce pendulum

作　　者：蓝亦青 李滨旭 张天旭 张廷德 龙象 王晓峰[1] 何春清[1] 刘海林[1] LAN Yiqing;LI Binxu;ZHANG Tianxu;ZHANG Tingde;LONG Xiang;WANG Xiaofeng;HE Chunqing;LIU Hailin(School of Physical Science and Technology,Wuhan University,Wuhan 430072,China)

机构地区：[1]武汉大学物理科学与技术学院,湖北武汉430072

出　　处：《物理实验》2023年第10期52-57,共6页Physics Experimentation

摘　　要：将弹簧的力学参量与韦氏摆的运动参量相联系,利用精度较高的运动测量仪器,可以更精确地测量韦氏摆的运动参量,以达到精确测量泊松比的目的.通过观察竖直释放韦氏摆时其运动所呈现的拍现象,由动力学方程导出韦氏摆拍周期与弹簧力学参量(劲度系数、扭转系数)及韦氏摆参量(质量、转动惯量)的关系,利用韦氏摆拍周期达到最大时所具有的特性测量弹簧泊松比.While the motion parameters of the spring were associated with those of the Wilberforce pendulum,the motion parameters of the Wilberforce pendulum were measured more precisely to achieve the measurement of the Poisson ratio using a motion measurement instrument with the relatively high accuracy.By observing the beat phenomenon of the motion of the Wilberforce pendulum when it was vertically released,the relationship between the beat period and the spring mechanical parameters(stiffness coefficient,torsion coefficient),the Wilberforce pendulum parameters(mass,rotational inertia)was derived from the dynamical equations.And then a new method to obtain the Poisson ratio of spring material was proposed based on the characteristics of the Wilberforce pendulum when the beat period reached the maximum.

关 键 词：泊松比 韦尔伯福斯摆 共振 

分 类 号：O321[理学—一般力学与力学基础]