Equivalent Damping: C1, C2, C3 in Parallel?

In summary, it is clear that in this damping system, the dampers C1 and C2 are in parallel due to their equal velocities. Similarly, if they were springs, their displacements would also be equal. The location of force in the system does not affect this behavior. Flipping C3 does not change the system behavior, as evident from gneill's advice and the fact that the component layout is arbitrary and mainly for aesthetic purposes.
  • #1
Tekneek
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In this damping system it is obvious that the dampers C1 and C2 are in parallel. But I don't understand how "noting the location of force" in this system tells us dampers C1+C2 are in parallel with damper C3. Any help will be appreciated. Thnx
 
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  • #2
Component layout on the page is arbitrary. Mostly it's about esthetic values for presentation!

Flip C3 to the left hand side of the vertical line in the center (maintain the same component connections). What do you see now?
 
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  • #3
To the OP: In following gneill's advice, it might be useful to try and convince yourself why flipping C3 doesn't change the system behavior.
 
  • #4
Tekneek said:
View attachment 172650

In this damping system it is obvious that the dampers C1 and C2 are in parallel. But I don't understand how "noting the location of force" in this system tells us dampers C1+C2 are in parallel with damper C3. Any help will be appreciated. Thnx
 
  • #5
Tekneek said:
View attachment 172650

In this damping system it is obvious that the dampers C1 and C2 are in parallel. But I don't understand how "noting the location of force" in this system tells us dampers C1+C2 are in parallel with damper C3. Any help will be appreciated. Thnx
They are in parallel because they have the same velocity. Same case if they were springs, the displacement would be the same.
 

1. What is equivalent damping in a parallel circuit?

Equivalent damping in a parallel circuit refers to the combined damping effect of multiple individual damping components that are connected in parallel. This equivalent damping value is used to calculate the overall damping ratio of the circuit.

2. What are the individual damping components in a parallel circuit?

The individual damping components in a parallel circuit are denoted by C1, C2, C3, and so on. Each of these components represents a specific type of damping, such as viscous, coulomb, or hysteretic damping.

3. How are the individual damping components combined in a parallel circuit?

In a parallel circuit, the individual damping components are connected in parallel, meaning that they share the same voltage but have different current paths. The equivalent damping value is calculated by summing the reciprocals of the individual damping components.

4. What is the significance of C1, C2, C3 in equivalent damping?

C1, C2, C3, and so on represent the different types of damping in a parallel circuit. By knowing the values of these components, the overall damping ratio of the circuit can be determined, which is important in analyzing and designing systems for optimal performance.

5. How does equivalent damping affect the performance of a system?

Equivalent damping plays a crucial role in the performance of a system, as it determines the rate at which the system can dissipate energy and return to its equilibrium state. A higher equivalent damping value results in a faster response and better stability for the system.

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