Difference between forced vibration and combined SHM

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SUMMARY

The discussion clarifies the distinction between forced vibration and combined simple harmonic motion (SHM). Combined SHM refers to the superposition of two different simple harmonic motions, while forced vibration involves a damped harmonic oscillator influenced by an external periodic force. The key difference lies in the presence of an external force in forced vibration, which alters the oscillator's natural frequency, unlike combined SHM where the oscillator maintains its natural frequency.

PREREQUISITES
  • Understanding of simple harmonic motion (SHM)
  • Knowledge of damped oscillators
  • Familiarity with the concept of superposition in wave mechanics
  • Basic principles of harmonic oscillators
NEXT STEPS
  • Study the mathematical formulation of forced vibrations in harmonic oscillators
  • Explore the principles of damping in oscillatory systems
  • Investigate the superposition principle in wave mechanics
  • Learn about the natural frequency of oscillators and its implications
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Physics students, mechanical engineers, and anyone interested in the dynamics of oscillatory systems will benefit from this discussion.

sadhu
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what is the difference between forced vibration and combined SHM.

since both include motion of particle under the influence of two periodic force
 
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I had to google around for the phrase "combined simple harmonic motion" but from what I see is that combined simple harmonic motion is just a harmonic motion that is composed of two different SHM's. While on the other hand a forced vibration (I'm assuming you're referring to a Force Harmonic Oscillator) is a damped oscillator (damped by neccessity, otherwise you'd have the equations blow up in your face) that is being driven by an outside force.

Basically, forced vibration: there is an outside force acting on it, combined SHM is merely a superpositioning of two motion functions... I may be wrong, but I'm not entirely sure what you mean by combined SHM.
 
With SHM, an oscillator always oscillates at its natural frequency.

In the case of a forced oscillator, this is not necessarily the case.

Claude.
 

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