弹簧振子势能的一种简便分析方法

A Simple Analysis Method for the Potential Energy of Spring Oscillator

通过分析不同情况下弹簧振子的运动规律及能量的转化过程,得出了弹簧振子在振动过程中能量转化和守恒的通用表达式。若选弹簧振子的平衡位置为坐标原点,无论弹簧振子如何放置,使用振动势能分析弹簧振子势能都会使思考和计算过程变得简便,可以直接写出谐振动的表达式,其机械能守恒定律的最终表达式将完全相同,从而能收到良好的简化效果,突破问题难点。

By analyzing the motion law of a spring oscillator under different circumstances, and the energy conversion process as well, we get the common expressions for the energy transformation and conservation. Chosen the equilibrium position as the coordinate orion, regardless of how the spring oscillator is placed, the analysis of the spring oscillator potential energy through the vibrational potential energy helps us understand the problem more easily, and simplify the calculation since one can write out directly the expression of harmonic vibration. And the ultimate formulation for the law of conservation of mechanical energy will be identical, so that this approach can receive good simplified results, which breaks the difficulty of the problem.