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

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.