Critical Damping in Multi-Modal Resonant System

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SUMMARY

This discussion centers on the concept of critical damping within multi-modal resonant systems, particularly in the context of parallel resonant circuits. Participants explore the feasibility of achieving critical damping in systems with multiple oscillatory modes, specifically referencing SPICE analysis for circuit simulations. The conversation also touches on the coupling of resonant circuits and the implications of eigenvalues in systems with coupled masses and springs. The consensus indicates uncertainty about representing multimodal critical damping in such configurations.

PREREQUISITES
  • Understanding of critical damping in oscillatory systems
  • Familiarity with SPICE simulation tools
  • Knowledge of resonant circuits and their configurations
  • Basic concepts of eigenvalues in mechanical systems
NEXT STEPS
  • Research SPICE analysis for circuit simulation and modeling
  • Study the principles of critical damping in mechanical systems
  • Explore the effects of coupling in resonant circuits
  • Investigate eigenvalue analysis in multi-modal systems
USEFUL FOR

Engineers, physicists, and students involved in circuit design, mechanical systems analysis, or anyone interested in the dynamics of oscillatory systems and damping techniques.

dimensionless
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Let's say I have a system with multiple oscillatory modes. Is it possible to have anything in this system that resembles critical damping?
 
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dimensionless said:
Let's say I have a system with multiple oscillatory modes. Is it possible to have anything in this system that resembles critical damping?
If you had two separate series resonant circuits in parallel, each resonant circuit could be separately critically damped. Give me some numbers and I will run a SPICE analysis.
Bob S
 
If they are in parallel, would they still be coupled? I'm great with circuits. I'm picturing some kind of physics system like a chain of masses and springs.
 
Its an excellent question - supposing you had 2 masses coupled together in series by a spring and a damper - could you look for cases where the system has only one eigenvalue repeated 4 times ?

Even if you could get that situation, to be honest I'm not sure if it would even represent multimodal critical damping ...

Regards,
Thrillhouse
 

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