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简谐运动是最基本的机械振动,对简谐运动的研究起始于对于简谐运动的判定。本文介绍了判定简谐运动的四种方法,并证明了四种方法的等效性。针对受力分析与能量分析两种判定方案分别提供了具体物理场景作为示例,从研究对象与振动物理量两方面展示了应用两种判定方案的异同。尤其是,当以系统为研究对象、在转动情况下的简谐运动判定采用能量判定方案是简洁而方便的。
Simple harmonic motion is the most basic mechanical vibration, the study of harmonic motion starts with the judgment of simple harmonic motion. This paper introduces four methods to determine simple harmonic motion and proves the equivalence of the four methods. For the two kinds of decision schemes of force analysis and energy analysis respectively provide concrete physical scene as an example, the similarities and differences between the two kinds of decision schemes are demonstrated from the research object and the vibration physical quantity. In particular, when the system is taken as the research object, the harmonic motion determination in the rotation case adopts the energy determination scheme to be concise and convenient.