 National Institute of Information Technology (NIIT), Neemrana
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## < 9 Other formulas that you can solve using the same Inputs

Time response in overdamped case
Time response in overdamped case=1-(e^(-(Damping ratio-sqrt((Damping ratio^2)-1))*(Natural frequency*Time period of oscillations))/(2*sqrt((Damping ratio^2)-1)*(Damping ratio-sqrt((Damping ratio^2)-1)))) GO
Bandwidth frequency
Bandwidth frequency=Natural frequency*sqrt(1-2*(Damping ratio)^2+sqrt(4*(Damping ratio)^4-4*(Damping ratio)^2+2)) GO
Maximum Overshoot
Maximum overshoot=2.71^(-(Damping ratio*Damped natural frequency)/(sqrt(1-(Damping ratio)^2))) GO
Time constant
Time constant=1/((Damping ratio-sqrt((Damping ratio)^2-1))*Natural frequency) GO
Damped natural frequency
Damped natural frequency=Natural frequency*sqrt(1-(Damping ratio)^2) GO
Resonant frequency
Resonant frequency=Natural frequency*sqrt(1-2*(Damping ratio)^2) GO
Setting time when tolerance is 5%
Setting time=3/(Damping ratio*Damped natural frequency) GO
Setting time when tolerance is 2%
Setting time=4/(Damping ratio*Damped natural frequency) GO
Delay time
Delay time=(1+(0.7*Damping ratio))/Natural frequency GO

### Resonant peak Formula

Resonant peak=1/((2*Damping ratio)*sqrt(1-(Damping ratio)^2))
More formulas
Transfer Function for Open Loop System GO
Delay time GO
Damped natural frequency GO
Damping ratio / Damping factor GO
Peak time GO
Setting time when tolerance is 5% GO
Setting time when tolerance is 2% GO
Rise time GO
Maximum Overshoot GO
Time period of oscillations GO
Number of oscillations GO
Rise time when delay time is given GO
Resonant frequency GO
Bandwidth frequency GO

## What is resonant peak?

Resonant peak in frequency response corresponds to the peak overshoot in the time domain transient response for certain values of damping ratio δ. So, the resonant peak and peak overshoot are correlated to each other. It is related to the damping of the system.

## How to Calculate Resonant peak?

Resonant peak calculator uses Resonant peak=1/((2*Damping ratio)*sqrt(1-(Damping ratio)^2)) to calculate the Resonant peak, Resonant peak is the peak (maximum) value of the magnitude of frequency domain. . Resonant peak and is denoted by Mr symbol.

How to calculate Resonant peak using this online calculator? To use this online calculator for Resonant peak, enter Damping ratio (ζ) and hit the calculate button. Here is how the Resonant peak calculation can be explained with given input values -> 5.025189 = 1/((2*0.1)*sqrt(1-(0.1)^2)).

### FAQ

What is Resonant peak?
Resonant peak is the peak (maximum) value of the magnitude of frequency domain. and is represented as Mr=1/((2*ζ)*sqrt(1-(ζ)^2)) or Resonant peak=1/((2*Damping ratio)*sqrt(1-(Damping ratio)^2)). Damping ratio is a dimensionless measure describing how oscillations in a system decay after a disturbance.
How to calculate Resonant peak?
Resonant peak is the peak (maximum) value of the magnitude of frequency domain. is calculated using Resonant peak=1/((2*Damping ratio)*sqrt(1-(Damping ratio)^2)). To calculate Resonant peak, you need Damping ratio (ζ). With our tool, you need to enter the respective value for Damping ratio and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well. Let Others Know