How Do You Derive the Equation for Damped Frequency in a Spring System?

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
2 replies · 2K views
robmass
Messages
2
Reaction score
0
Hiya can anyone show how to derive the euqation of damped frequency for a spring

ωd = ωnsqrt(1-ζ2)
 
Physics news on Phys.org
Google will find lots of web sites with the derivation.

As NascentOxygen said, you write down the differential equation for simple harmonic motion with damping, and solve it. There are no "clever tricks" required.