Given a curve how to find the damping ratio?

Click For Summary
SUMMARY

The discussion centers on determining the damping ratio of a second-order spring-mass-damper system, specifically in an overdamped scenario. User sgsawant seeks guidance on calculating the damping ratio, while another participant notes that fitting the system to an exponential function is possible, but the decay rate is influenced by both the undamped frequency and the damping ratio. The consensus indicates that finding the damping ratio is feasible primarily for underdamped or critically damped systems, not for overdamped systems.

PREREQUISITES
  • Understanding of second-order systems
  • Familiarity with damping ratios and their significance
  • Knowledge of exponential decay functions
  • Basic concepts of spring-mass-damper systems
NEXT STEPS
  • Research methods for fitting data to exponential functions in control systems
  • Learn about the characteristics of overdamped, underdamped, and critically damped systems
  • Explore the mathematical derivation of damping ratios in second-order systems
  • Investigate software tools for simulating spring-mass-damper dynamics
USEFUL FOR

Engineers, physicists, and students studying control systems or mechanical vibrations who need to analyze damping characteristics in dynamic systems.

sgsawant
Messages
30
Reaction score
0
I have a data of a system (2nd order spring-mass-damper). From the looks of it, the system is quite certainly overdamped. Can someone guide me as to how to find the damping ratio?

Regards,

-sgsawant
 
Physics news on Phys.org
I'm not sure you can, for over-damped oscillator. You can fit it to exponent, but the decay rate will depend on both the undamped frequency and the damping ratio.

If it was under-damped or critically damped, you'd be able to.
 
Thanks!
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 1 ·
Replies
1
Views
22K
Replies
4
Views
3K
  • · Replies 2 ·
Replies
2
Views
19K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
1
Views
1K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K