V2EX simple harmonic motion

Simple Harmonic Motion

Definition / 释义

简谐运动:一种最基本的周期运动形式,其回复力(或加速度)与位移成正比、方向相反,因此物体会围绕平衡位置做规则往复振动(例如弹簧振子、小角度单摆的近似运动)。

Pronunciation (IPA) / 发音(IPA)

/smpl hrmnk mon/

Examples / 例句

The mass on the spring shows simple harmonic motion.
弹簧上的小球(质量块)做简谐运动。

In the absence of damping, the system continues simple harmonic motion with a constant amplitude and a period determined by its parameters.
在没有阻尼的情况下,系统会以恒定振幅持续做简谐运动,其周期由系统参数决定。

Etymology / 词源

simple harmonic motion由三部分组成:simple(简单的)+ harmonic(和谐的、谐波的)+ motion(运动)。其中 harmonic源自希腊语 harmonia(“协调、和谐”),在物理与数学中引申为“与正弦/余弦波相关的振动”。“简谐运动”之“简”,强调它是最基本、最理想化的正弦型振动模型;在实际问题中,许多复杂振动都可在小振幅近似下化为简谐运动。

Related Words / 相关词汇

In Literature / 文献与作品中的用例

  • 《The Feynman Lectures on Physics》(费曼《物理学讲义》):以“harmonic oscillator(谐振子)”为核心模型讨论振动与波动,常涉及简谐运动的方程与物理意义。
  • 《University Physics》(Young & Freedman《大学物理》):在振动与波单元系统讲解弹簧振子、单摆近似与简谐运动。
  • 《Fundamentals of Physics》(Halliday, Resnick & Walker《物理学基础》):以简谐运动作为周期运动的入门模型,并用于能量、相位与叠加等主题。
  • 《Principles of Mathematical Analysis of Vibration》/工程振动教材(各类工程振动经典教材中常见):以简谐运动作为线性系统振动分析的基础表达。
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