弹簧摆运动的研究

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.

Study of the motion of a spring-pendulum

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,but the great stiffness coefficient also can affect the scope of periodic vibration in radi...