Critical Damping in Multi-Modal Resonant System

AI Thread Summary
In a multi-modal resonant system, critical damping can be achieved in separate oscillatory modes, such as in two parallel resonant circuits that can be critically damped independently. The discussion raises the question of whether coupling affects damping characteristics, particularly in a physics model involving masses and springs. A scenario is proposed where two masses are coupled by a spring and damper, exploring the possibility of a system with a repeated eigenvalue. However, there is uncertainty about whether such a configuration would truly represent multi-modal critical damping. The exploration of these concepts highlights the complexities of damping in coupled systems.
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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