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Damped Frequency

Damped Frequency Equation


$$ {\omega}_d = \omega_n \sqrt{1-ζ^2} $$
where:

ωd   =   Damped Natural Frequency   (rad/s)

ωn   =   System Natural Frequency  

ζ   =   Damping Ratio  


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Equation Assumptions


  • The system is a linear time-invarient system.
  • The system is of second order (behaviour is governed by a second-order differential equation).
  • The damping ratio remains constant.