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Physics · 术语表

什么是 Forced oscillations and resonance?

又称: forced oscillations · natural frequency · resonance

Definition 28.13 High School Physics · 第 28 章 — Mechanical Oscillators and the Measurement of Time

Push an oscillator periodically — forced oscillations — and after a brief transient it oscillates at the driving frequency ff, not its own. Its amplitude peaks when ff nears the natural frequency f0f_0 of the free oscillator: this is resonance, each push arriving in step with the motion, feeding in energy every cycle; the lighter the damping, the taller and sharper the peak.

Resonance curve: forced amplitude against driving frequency. Near f = f_0 the response towers, higher the lighter the damping.
Resonance curve: forced amplitude against driving frequency. Near f=f0f = f_0 the response towers, higher the lighter the damping.

示例

Example 28.14 (Resonance for good and ill)

A parent pushing a swing pushes at its own frequency — resonance put to work. In 20002000 the new Millennium Bridge in London swayed alarmingly when the crowd’s steps locked onto a natural frequency near 1 Hz1\,\mathrm{Hz}; it closed two years for dampers. Every quartz watch keeps its crystal singing by driving it at resonance, 32 768 Hz32\,768\,\mathrm{Hz}.

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