National Institute of Information Technology (NIIT), Neemrana
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< 11 Other formulas that you can solve using the same Inputs

Bandwidth frequency
Bandwidth frequency=Natural frequency*sqrt(1-2*(Damping ratio)^2+sqrt(4*(Damping ratio)^4-4*(Damping ratio)^2+2)) GO
Number of oscillations
Number of oscillations=(Setting time*Damped natural frequency)/(2*3.14) 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
Time period of oscillations
Time period of oscillations=(2*3.14)/Damped natural frequency GO
Resonant peak
Resonant peak=1/((2*Damping ratio)*sqrt(1-(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
Rise time
Rise time=(3.14-Theta)/Damped natural frequency GO
Peak time
Peak time=3.14/Damped natural frequency GO

Maximum Overshoot Formula

Maximum overshoot=2.71^(-(Damping ratio*Damped natural frequency)/(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
Time period of oscillations GO
Number of oscillations GO
Rise time when delay time is given GO
Resonant peak GO
Resonant frequency GO
Bandwidth frequency GO

What is maximum overshoot?

Maximum overshoot is expressed in term of percentage of steady state value of the response. As the first peak of response is normally maximum in magnitude, maximum overshoot is simply normalized difference between first peak and steady-state value of a response. the maximum overshoot will occur at peak time tp hence on putting the value of peak time we will get maximum overshoot.

How to Calculate Maximum Overshoot?

Maximum Overshoot calculator uses Maximum overshoot=2.71^(-(Damping ratio*Damped natural frequency)/(sqrt(1-(Damping ratio)^2))) to calculate the Maximum overshoot, Maximum Overshoot is defined as the deviation of the response at peak time from the final value of response. It is also called the peak overshoot. Maximum overshoot and is denoted by %Mp symbol.

How to calculate Maximum Overshoot using this online calculator? To use this online calculator for Maximum Overshoot, enter Damping ratio (ζ) and Damped natural frequency d) and hit the calculate button. Here is how the Maximum Overshoot calculation can be explained with given input values -> 0.300483 = 2.71^(-(0.1*12)/(sqrt(1-(0.1)^2))).

FAQ

What is Maximum Overshoot?
Maximum Overshoot is defined as the deviation of the response at peak time from the final value of response. It is also called the peak overshoot and is represented as %Mp=2.71^(-(ζ*ωd)/(sqrt(1-(ζ)^2))) or Maximum overshoot=2.71^(-(Damping ratio*Damped natural frequency)/(sqrt(1-(Damping ratio)^2))). Damping ratio is a dimensionless measure describing how oscillations in a system decay after a disturbance and Damped natural frequency is a particular frequency at which if a resonant mechanical structure is set in motion and left to its own devices, it will continue to oscillate at a particular frequency.
How to calculate Maximum Overshoot?
Maximum Overshoot is defined as the deviation of the response at peak time from the final value of response. It is also called the peak overshoot is calculated using Maximum overshoot=2.71^(-(Damping ratio*Damped natural frequency)/(sqrt(1-(Damping ratio)^2))). To calculate Maximum Overshoot, you need Damping ratio (ζ) and Damped natural frequency d). With our tool, you need to enter the respective value for Damping ratio and Damped natural frequency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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