V2EX critically damped

Critically Damped

释义 Definition

临界阻尼的:在二阶振动/控制系统中,阻尼恰好达到“临界值”(阻尼比 ζ = 1),使系统以最快速度回到平衡且不发生振荡(不出现来回摆动的超调)。常用于描述弹簧-质量系统、减振器、指针仪表、控制系统的响应特性。

发音 Pronunciation (IPA)

/krtkli dmpt/

例句 Examples

The needle is designed to be critically damped so it settles quickly.
指针被设计为临界阻尼的,这样它能很快稳定下来。

In a second-order control system, a critically damped response returns to the setpoint as fast as possible without overshoot.
在二阶控制系统中,临界阻尼响应会在不产生超调的情况下尽可能快地回到设定值。

词源 Etymology

critical 来自“临界、关键”的含义(指达到某个分界点);damped 来自 damp(使振动衰减、抑制),在物理与工程语境中指“阻尼/消振”。合在一起表示“阻尼刚好到临界点”的状态。

相关词 Related Words

文学与著作 Literary Works & Notable Usage

  • Mechanical Vibrations(S. S. Rao)在二阶系统响应与阻尼比章节中讨论 critically damped 情况
  • Vibration Engineering / Mechanical Vibrations(J. P. Den Hartog)以经典振动理论框架介绍临界阻尼
  • Feedback Control of Dynamic Systems(Franklin, Powell, Emami-Naeini)在控制系统瞬态响应中使用 critically damped 描述响应形态
  • Control Systems Engineering(Norman S. Nise)用 critically damped 对比欠阻尼与过阻尼的响应特征
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