\[c_c=2\sqrt{km}\]
Variables
Cc[cc]critical damping coefficient (N·s/m)
kspring constant (N/m)
mmass (kg)
Description
What is this formula?
This formula calculates the critical damping coefficient of a spring-mass-damper system. Critical damping represents the minimum damping needed to prevent oscillation while returning to equilibrium as quickly as possible.
When to use it
Use this formula when designing vibration systems that must avoid oscillation and overshoot.
Example
Data:
k = 500 N/m
m = 4 kg
Formula:
Cc=2√(k*m)
Substitution:
Cc=2√(500*4)
Result:
Cc=89.44 N·s/m
Applications
Suspension systems
Shock absorbers
Control systems
Mechanical vibration analysis
Machine design