V2EX underdamping

Underdamping

释义 Definition

underdamping(名词):欠阻尼。指振动或二阶系统的阻尼不足以阻止振荡,系统会在逐渐衰减的情况下来回振荡并趋于稳定(常见于弹簧-质量系统、电路 RLC、控制系统等)。常与 underdamped(形容词:欠阻尼的)搭配使用。

发音 Pronunciation (IPA)

/ndrdmp/

例句 Examples

The system shows underdamping, so it oscillates before settling.
该系统呈现欠阻尼,因此在稳定前会先发生振荡。

In a second-order control loop, underdamping can cause overshoot and ringing, which may damage sensitive components.
在二阶控制回路中,欠阻尼可能导致超调与振铃,从而损坏敏感元件。

词源 Etymology

由前缀 **under-**(“不足、低于所需”)+ damping(“阻尼、衰减”)构成,字面意思就是“阻尼不够”。在物理、工程与控制理论中用来描述“阻尼比小于临界值”的情形,因此会出现衰减振荡。

相关词 Related Words

文学与著作中的用例 Literary / Notable Works

  • Mechanical Vibrations(S. S. Rao)在二阶系统响应章节讨论欠阻尼与衰减振荡
  • Engineering Vibration(Daniel J. Inman)用“underdamping/underdamped”分析自由振动与受迫振动
  • Feedback Control of Dynamic Systems(Gene F. Franklin, J. David Powell 等)在控制系统瞬态响应中讲解欠阻尼导致的超调与振铃
  • The Analysis of Linear Circuits(Robert L. Boylestad)等电路教材在 RLC 电路中描述欠阻尼响应与振荡衰减
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