Critical Damping in Multi-Modal Resonant System

Click For Summary

Discussion Overview

The discussion revolves around the concept of critical damping in systems with multiple oscillatory modes, exploring whether such damping can be achieved in various configurations, including electrical circuits and mechanical systems like masses and springs.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant questions the possibility of achieving critical damping in a multi-modal system.
  • Another participant suggests that in a configuration of two separate series resonant circuits in parallel, each circuit could potentially be critically damped and offers to perform a SPICE analysis if provided with specific parameters.
  • A participant raises a question about the coupling of the resonant circuits when arranged in parallel, expressing a preference for discussing a physical system involving masses and springs.
  • Another participant proposes a scenario involving two masses coupled in series by a spring and a damper, questioning whether it is possible to find conditions under which the system has a repeated eigenvalue and expressing uncertainty about whether this would represent multimodal critical damping.

Areas of Agreement / Disagreement

Participants express differing views on the feasibility of critical damping in multi-modal systems, with no consensus reached on the conditions or configurations that would allow for such damping.

Contextual Notes

Participants mention specific configurations and mathematical conditions but do not resolve the implications of these setups for achieving critical damping.

Who May Find This Useful

This discussion may be of interest to those studying oscillatory systems in physics and engineering, particularly in the context of damping mechanisms in multi-modal systems.

dimensionless
Messages
461
Reaction score
1
Let's say I have a system with multiple oscillatory modes. Is it possible to have anything in this system that resembles critical damping?
 
Physics news on Phys.org
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
 

Similar threads

Graduate Pair of interacting systems, driven coupled harmonic oscillators
  • · Replies 7 ·
Replies
7
Views
2K
Graduate Where Can I Find a Tutorial Animation for Damping of a 1D Oscillator?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Justify Assumption of Exponential Response to Free Vibration Problem
  • · Replies 6 ·
Replies
6
Views
1K
Graduate Decoupling of a spring mass system
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad How to estimate a spring-mass-damper system's damping ratio?
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad How Does Damping Affect the Behavior of Oscillatory Systems?
  • · Replies 5 ·
Replies
5
Views
3K
Damped Oscillatory Motion with Varying Bump Timing for Control
  • · Replies 13 ·
Replies
13
Views
2K
Undergrad Question about driven harmonic oscillator
  • · Replies 17 ·
Replies
17
Views
3K
Undergrad Damping factor in critical damping
  • · Replies 1 ·
Replies
1
Views
3K
Difference between resonance in undamped vs damped mass-spring-dashpot
  • · Replies 17 ·
Replies
17
Views
3K