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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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: 17.3 Newton Second per Meter --> 17.3 Newton Second per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ζ = c/c_c --> 0.8/17.3

Evaluating ... ...

ζ = 0.046242774566474

STEP 3: Convert Result to Output's Unit

0.046242774566474 --> No Conversion Required

FINAL ANSWER

0.046242774566474 ≈ 0.046243 <-- Damping Ratio

(Calculation completed in 00.020 seconds)

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

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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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< Frequency of Free Damped Vibrations Calculators

Condition for Critical Damping

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

Damping Factor given Natural Frequency

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

Critical Damping Coefficient

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

Damping Factor

LaTeX Go Damping Ratio = Damping Coefficient/Critical Damping Coefficient

Damping Factor Formula

LaTeX Go

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, Damping Factor formula is defined as a dimensionless quantity that characterizes the decay rate of oscillations in a damped vibrating system, providing a measure of the amount of damping present in the system, which is critical in understanding and predicting the behavior of vibrating systems in various fields such as mechanical engineering and physics. 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 -> 0.046243 = 0.8/17.3.

FAQ

What is Damping Factor?

Damping Factor formula is defined as a dimensionless quantity that characterizes the decay rate of oscillations in a damped vibrating system, providing a measure of the amount of damping present in the system, which is critical in understanding and predicting the behavior of vibrating systems in various fields such as mechanical engineering and physics 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?

Damping Factor formula is defined as a dimensionless quantity that characterizes the decay rate of oscillations in a damped vibrating system, providing a measure of the amount of damping present in the system, which is critical in understanding and predicting the behavior of vibrating systems in various fields such as mechanical engineering and physics 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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