Natural Frequency of Vibration Calculator

✖torsional stiffness is the ability of an object to resist twisting when acted upon by an external force, torque.ⓘ Torsional Stiffness [q]			+10% -10%
✖Mass Moment of Inertia of Disc is the rotational inertia of a disc that resists changes in its rotational motion, used in torsional vibration analysis.ⓘ Mass Moment of Inertia of Disc [I_d]			+10% -10%

✖Natural Frequency is the number of oscillations or cycles per second in a torsional vibration system, characterizing its inherent oscillatory behavior.ⓘ Natural Frequency of Vibration [f_n]

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Natural Frequency of Vibration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Natural Frequency = (sqrt(Torsional Stiffness/Mass Moment of Inertia of Disc))/(2*pi)
f_n = (sqrt(q/I_d))/(2*pi)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Natural Frequency - (Measured in Hertz) - Natural Frequency is the number of oscillations or cycles per second in a torsional vibration system, characterizing its inherent oscillatory behavior.
Torsional Stiffness - (Measured in Newton per Meter) - torsional stiffness is the ability of an object to resist twisting when acted upon by an external force, torque.
Mass Moment of Inertia of Disc - (Measured in Kilogram Square Meter) - Mass Moment of Inertia of Disc is the rotational inertia of a disc that resists changes in its rotational motion, used in torsional vibration analysis.

STEP 1: Convert Input(s) to Base Unit

Torsional Stiffness: 5.4 Newton per Meter --> 5.4 Newton per Meter No Conversion Required
Mass Moment of Inertia of Disc: 6.2 Kilogram Square Meter --> 6.2 Kilogram Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_n = (sqrt(q/I_d))/(2*pi) --> (sqrt(5.4/6.2))/(2*pi)

Evaluating ... ...

f_n = 0.148532389167479

STEP 3: Convert Result to Output's Unit

0.148532389167479 Hertz --> No Conversion Required

FINAL ANSWER

0.148532389167479 ≈ 0.148532 Hertz <-- Natural Frequency

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Vibrations » Torsional Vibrations » Mechanical » Natural Frequency of Free Torsional Vibrations » Natural Frequency of Vibration

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< Natural Frequency of Free Torsional Vibrations Calculators

Moment of Inertia of Disc using Natural Frequency of Vibration

LaTeX Go Mass Moment of Inertia of Disc = Torsional Stiffness/((2*pi*Natural Frequency)^2)

Torsional Stiffness of Shaft given Natural Frequency of Vibration

LaTeX Go Torsional Stiffness = (2*pi*Natural Frequency)^2*Mass Moment of Inertia of Disc

Torsional Stiffness of Shaft given Time Period of Vibration

LaTeX Go Torsional Stiffness = ((2*pi)^2*Mass Moment of Inertia of Disc)/(Time Period)^2

Moment of Inertia of Disc given Time Period of Vibration

LaTeX Go Mass Moment of Inertia of Disc = (Time Period^2*Torsional Stiffness)/((2*pi)^2)

Natural Frequency of Vibration Formula

LaTeX Go

Natural Frequency = (sqrt(Torsional Stiffness/Mass Moment of Inertia of Disc))/(2*pi)
f_n = (sqrt(q/I_d))/(2*pi)

What causes torsional vibration?

Torsional vibrations are an example of machinery vibrations and are caused by the superposition of angular oscillations along the whole propulsion shaft system including propeller shaft, engine crankshaft, engine, gearbox, flexible coupling and along the intermediate shafts.

How to Calculate Natural Frequency of Vibration?

Natural Frequency of Vibration calculator uses Natural Frequency = (sqrt(Torsional Stiffness/Mass Moment of Inertia of Disc))/(2*pi) to calculate the Natural Frequency, Natural Frequency of Vibration formula is defined as a measure of the number of oscillations per unit time of a torsional vibrational system, which is a critical parameter in the design and analysis of mechanical systems, particularly in the context of rotational motion and vibration. Natural Frequency is denoted by f_n symbol.

How to calculate Natural Frequency of Vibration using this online calculator? To use this online calculator for Natural Frequency of Vibration, enter Torsional Stiffness (q) & Mass Moment of Inertia of Disc (I_d) and hit the calculate button. Here is how the Natural Frequency of Vibration calculation can be explained with given input values -> 0.148532 = (sqrt(5.4/6.2))/(2*pi).

FAQ

What is Natural Frequency of Vibration?

Natural Frequency of Vibration formula is defined as a measure of the number of oscillations per unit time of a torsional vibrational system, which is a critical parameter in the design and analysis of mechanical systems, particularly in the context of rotational motion and vibration and is represented as f_n = (sqrt(q/I_d))/(2*pi) or Natural Frequency = (sqrt(Torsional Stiffness/Mass Moment of Inertia of Disc))/(2*pi). torsional stiffness is the ability of an object to resist twisting when acted upon by an external force, torque & Mass Moment of Inertia of Disc is the rotational inertia of a disc that resists changes in its rotational motion, used in torsional vibration analysis.

How to calculate Natural Frequency of Vibration?

Natural Frequency of Vibration formula is defined as a measure of the number of oscillations per unit time of a torsional vibrational system, which is a critical parameter in the design and analysis of mechanical systems, particularly in the context of rotational motion and vibration is calculated using Natural Frequency = (sqrt(Torsional Stiffness/Mass Moment of Inertia of Disc))/(2*pi). To calculate Natural Frequency of Vibration, you need Torsional Stiffness (q) & Mass Moment of Inertia of Disc (I_d). With our tool, you need to enter the respective value for Torsional Stiffness & Mass Moment of Inertia of Disc 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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