Driven Oscillators: interesting cases?

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SUMMARY

This discussion focuses on interesting cases of driven, damped harmonic oscillators for a report assignment. Key examples include car shock absorbers, piezoelectric crystals in oscillator circuits, and the resonance phenomenon illustrated by Ella Fitzgerald's voice breaking a glass. The conversation emphasizes the importance of avoiding quantum mechanics and instead exploring classical models that demonstrate resonance and damping effects. The participants agree that these examples provide a solid foundation for studying the mathematical behavior of driven oscillators.

PREREQUISITES
  • Understanding of classical mechanics principles
  • Familiarity with harmonic oscillators
  • Knowledge of resonance and damping effects
  • Basic mathematical modeling skills
NEXT STEPS
  • Research the mathematical modeling of car shock absorbers
  • Explore piezoelectric crystal applications in oscillator circuits
  • Investigate resonance phenomena in real-world scenarios
  • Study the effects of damping on oscillatory systems
USEFUL FOR

This discussion is beneficial for physics students, mechanical engineers, and anyone interested in the practical applications of driven, damped harmonic oscillators in real-world scenarios.

radiogaga35
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Hi there

I need some advice, please: can you suggest any interesting cases of a driven, damped harmonic oscillator? I need to write a report (part of some assignment) on the mathematical model/behaviour/etc. of some real-world driven oscillator.

No problems with the math, I'm just looking for an interesting model. By interesting I mean: not a driven mass-spring system! Also, I don't want to get into anything quantum-mechanical - it's not a physics assignment, and there's not really scope in the assignment to venture beyond a straightforward classical model.

An example might be some sort of car shock absorber, the "driven" part being on account of a bumpy road...presumably resonant oscillations would be undesirable! But any better suggestions?

Thank you!
 
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"driven, damped harmonic oscillator" -- wouldn't that be just about any example of resonance that has an energy source?

Pushing a kid on a swing in the playground ... a piezoelectric crystal in an oscillator circuit ... the voice of Ella Fitzgerald breaks a glass in the TV commercial for Memorex recording tape ... every time a big truck goes by my house the beer mugs that I keep on top of my refrigerator go jingle-jingle ...

When you say "driven" I guess we can leave out the case of a tuning fork (or guitar string, etc.) that makes another one begin vibrating "in sympathy" -- I think in such cases that both oscillations are in exponential decay, so that's not a driven oscillation.
 
Aha, thank you for your suggestions, I like the "Ella Fitzgerald" and piezoelectric crystal example. The former seems particularly fun, and a striking example of resonance...although I suppose it would be easier to study the effects of damping/different natural angular frequencies/etc. in the case of the piezoelectric crystal circuit, perhaps using mechanical analogues?
 

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