Damping Factor Calculator

✖Damping Coefficient is a material property that indicates whether a material will bounce back or return energy to a system.ⓘ Damping Coefficient [c]			+10% -10%
✖Critical damping coefficient provides the quickest approach to zero amplitude for a damped oscillator.ⓘ Critical Damping Coefficient [c_c]			+10% -10%

✖Damping ratio is a dimensionless measure describing how oscillations in a system decay after a disturbance.ⓘ Damping Factor [ζ]

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Formula

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Damping Factor

Formula

`"ζ" = "c"/"c"_{"c"}`

Example

`"0.1"="0.8Ns/m"/"8Ns/m"`

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Damping Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Damping Ratio = Damping Coefficient/Critical Damping Coefficient
ζ = c/c_c
This formula uses 3 Variables

Variables Used

Damping Ratio - Damping ratio is a dimensionless measure describing how oscillations in a system decay after a disturbance.
Damping Coefficient - (Measured in Newton Second per Meter) - Damping Coefficient is a material property that indicates whether a material will bounce back or return energy to a system.
Critical Damping Coefficient - (Measured in Newton Second per Meter) - Critical damping coefficient provides the quickest approach to zero amplitude for a damped oscillator.

STEP 1: Convert Input(s) to Base Unit

Damping Coefficient: 0.8 Newton Second per Meter --> 0.8 Newton Second per Meter No Conversion Required
Critical Damping Coefficient: 8 Newton Second per Meter --> 8 Newton Second per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ζ = c/c_c --> 0.8/8

Evaluating ... ...

ζ = 0.1

STEP 3: Convert Result to Output's Unit

0.1 --> No Conversion Required

FINAL ANSWER

0.1 <-- Damping Ratio

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Vibrations » Longitudinal and Transverse Vibrations » Frequency of Free Damped Vibrations » Damping Factor

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

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< 9 Frequency of Free Damped Vibrations Calculators

Logarithmic Decrement using Natural Frequency

Go Logarithmic Decrement = (Frequency Constant for Calculation*2*pi)/(sqrt(Natural Circular Frequency^2-Frequency Constant for Calculation^2))

Logarithmic Decrement using Circular Damping Coefficient

Go Logarithmic Decrement = (2*pi*Damping Coefficient)/(sqrt(Critical Damping Coefficient^2-Damping Coefficient^2))

Condition for Critical Damping

Go Critical Damping Coefficient = 2*Mass Suspended from Spring*sqrt(Stiffness of Spring/Mass Suspended from Spring)

Logarithmic Decrement using Circular Damped Frequency

Go Logarithmic Decrement = Frequency Constant for Calculation*(2*pi)/Circular Damped Frequency

Damping Factor given Natural Frequency

Go Damping Ratio = Damping Coefficient/(2*Mass Suspended from Spring*Natural Circular Frequency)

Critical Damping Coefficient

Go Critical Damping Coefficient = 2*Mass Suspended from Spring*Natural Circular Frequency

Amplitude Reduction Factor

Go Amplitude Reduction Factor = e^(Frequency Constant for Calculation*Time Period)

Logarithmic Decrement

Go Logarithmic Decrement = Frequency Constant for Calculation*Time Period

Damping Factor

Go Damping Ratio = Damping Coefficient/Critical Damping Coefficient

Damping Factor Formula

Damping Ratio = Damping Coefficient/Critical Damping Coefficient
ζ = c/c_c

Why damping happens during vibration?

The mechanical system vibrates at one or more of its natural frequencies and damps down to motionlessness. Damped vibration happens when the energy of a vibrating system is gradually dissipated by friction and other resistances, the vibrations are said to be damped.

How to Calculate Damping Factor?

Damping Factor calculator uses Damping Ratio = Damping Coefficient/Critical Damping Coefficient to calculate the Damping Ratio, The Damping factor formula is defined as the ratio of the rated impedance of the loudspeaker to the source impedance. Damping Ratio is denoted by ζ symbol.

How to calculate Damping Factor using this online calculator? To use this online calculator for Damping Factor, enter Damping Coefficient (c) & Critical Damping Coefficient (c_c) and hit the calculate button. Here is how the Damping Factor calculation can be explained with given input values -> 0.0625 = 0.8/8.

FAQ

What is Damping Factor?

The Damping factor formula is defined as the ratio of the rated impedance of the loudspeaker to the source impedance and is represented as ζ = c/c_c or Damping Ratio = Damping Coefficient/Critical Damping Coefficient. Damping Coefficient is a material property that indicates whether a material will bounce back or return energy to a system & Critical damping coefficient provides the quickest approach to zero amplitude for a damped oscillator.

How to calculate Damping Factor?

The Damping factor formula is defined as the ratio of the rated impedance of the loudspeaker to the source impedance is calculated using Damping Ratio = Damping Coefficient/Critical Damping Coefficient. To calculate Damping Factor, you need Damping Coefficient (c) & Critical Damping Coefficient (c_c). With our tool, you need to enter the respective value for Damping Coefficient & Critical Damping Coefficient and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Damping Ratio?

In this formula, Damping Ratio uses Damping Coefficient & Critical Damping Coefficient. We can use 1 other way(s) to calculate the same, which is/are as follows -

Damping Ratio = Damping Coefficient/(2*Mass Suspended from Spring*Natural Circular Frequency)

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