V2EX critical damping

Critical Damping

Definition 定义

临界阻尼:在阻尼振动系统中,恰好达到不发生振荡、并以最快速度回到平衡位置的阻尼状态(常见于二阶系统、弹簧-质量系统、电路与控制系统)。它位于欠阻尼(会振荡)与过阻尼(不振荡但回到平衡更慢)之间。

Pronunciation 发音(IPA)

/krtkl dmp/

Examples 例句

The shock absorber is designed for critical damping.
减震器被设计为临界阻尼状态。

For a second-order system, critical damping gives the fastest return to equilibrium without overshoot.
对二阶系统而言,临界阻尼能在不产生超调的情况下最快回到平衡。

Etymology 词源

critical 源自希腊语 kritikos(“能判断的、关键的”),在科学语境中常指“临界点/临界状态”。damping 来自动词 damp(“抑制、使减弱”),在物理中表示通过摩擦、电阻等机制消耗能量、使振幅衰减。合起来 critical damping 指“达到临界条件的阻尼”,即系统从“会振荡”到“不会振荡”的分界点。

Related Words 相关词

Literary Works 文献作品中的用例

  • Mechanical Vibrations J. P. Den Hartog(机械振动经典教材中系统讨论欠阻尼/临界阻尼/过阻尼)
  • Feedback Control of Dynamic Systems Gene F. Franklin, J. David Powell, Abbas Emami-Naeini(控制系统二阶响应与临界阻尼的标准表述)
  • Engineering Vibration Daniel J. Inman(工程振动教材中常以临界阻尼作为“最快无振荡响应”的参照)
  • Vibrations and Waves A. P. French(波与振动入门文本中涉及阻尼与临界条件)
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