弹簧摆运动的研究

Study of the motion of a spring-pendulum

由初值用差分递推方法模拟弹簧摆的运动,把小球的运动分为横向和径向两个方向,经过研究得出:初始摆角的增大会影响径向的周期运动规律,而劲度系数的变化会影响横向的周期运动规律,大的劲度系数也会对径向周期振动的幅度造成起伏,选择小的摆角和合适的劲度系数可以近似地使小球在横向和径向两个方向上都作周期性运动,且两个方向上运动的耦合影响都很小.

This article simulates the movement of the spring simple pendulum by the starting value with various recursion methods, and the direction of motion of the pellet is divided into transverse direction and radial direction. The increasing of the initial angle can affect the rule of periodic motion in radial direction, and the change of the stiffness coefficient can affect the rule of periodic motion in transverse direction, hut the great stiffness coefficient also can affect the scope of periodic vibration in radial direction, so the pellet will make the periodic sine change movement in transverse direction and radial direction by choosing the small angle and the appropriate stiffness coef- ficient, and coupling influence of the movement of the pellet is very little in two directions.