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Natural Frequency of Torsional Vibration System Calculator

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Undamped Free Vibration Elements of Vibration Forced Vibration Free Vibration of Single DOF Undamped Torsional System

✖Stiffness of Shaft is the measure of a shaft's resistance to deformation or bending under an applied load in mechanical vibration systems.ⓘ Stiffness of Shaft [s]			+10% -10%
✖Mass moment of inertia of disc is a measure of an object's resistance to changes in its rotation rate in mechanical vibrations.ⓘ Mass moment of inertia of disc [I_disc]			+10% -10%

✖Angular Frequency is the number of oscillations or cycles per unit time of a vibrating system, characterizing its mechanical vibration.ⓘ Natural Frequency of Torsional Vibration System [ω']

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Natural Frequency of Torsional Vibration System Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Frequency = sqrt(Stiffness of Shaft/Mass moment of inertia of disc)
ω' = sqrt(s/I_disc)
This formula uses 1 Functions, 3 Variables

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

Angular Frequency - (Measured in Radian per Second) - Angular Frequency is the number of oscillations or cycles per unit time of a vibrating system, characterizing its mechanical vibration.
Stiffness of Shaft - (Measured in Newton per Meter) - Stiffness of Shaft is the measure of a shaft's resistance to deformation or bending under an applied load in mechanical vibration systems.
Mass moment of inertia of disc - (Measured in Kilogram Square Meter) - Mass moment of inertia of disc is a measure of an object's resistance to changes in its rotation rate in mechanical vibrations.

STEP 1: Convert Input(s) to Base Unit

Stiffness of Shaft: 0.63 Newton per Meter --> 0.63 Newton per Meter No Conversion Required
Mass moment of inertia of disc: 0.1574 Kilogram Square Meter --> 0.1574 Kilogram Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω' = sqrt(s/I_disc) --> sqrt(0.63/0.1574)

Evaluating ... ...

ω' = 2.00063522313814

STEP 3: Convert Result to Output's Unit

2.00063522313814 Radian per Second --> No Conversion Required

FINAL ANSWER

2.00063522313814 ≈ 2.000635 Radian per Second <-- Angular Frequency

(Calculation completed in 00.008 seconds)

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< Undamped Free Vibration Calculators

Equivalent Stiffness of Two Springs in Series

LaTeX Go Equivalent Stiffness of Springs = (Stiffness of Spring 1*Stiffness of Spring 2)/(Stiffness of Spring 1+Stiffness of Spring 2)

Frequency of Vibration

LaTeX Go Vibrational Frequency = 1/(2*pi)*sqrt(Spring Stiffness 1/Mass)

Natural Frequency of Torsional Vibration System

LaTeX Go Angular Frequency = sqrt(Stiffness of Shaft/Mass moment of inertia of disc)

Equivalent Stiffness of Two Springs in Parallel

LaTeX Go Equivalent Stiffness of Springs = Stiffness of Spring 1+Stiffness of Spring 2

Natural Frequency of Torsional Vibration System Formula

LaTeX Go

Angular Frequency = sqrt(Stiffness of Shaft/Mass moment of inertia of disc)
ω' = sqrt(s/I_disc)

What is Vibration?

Vibration is a mechanical phenomenon whereby oscillations occur about an equilibrium point. The oscillations may be periodic, such as the motion of a pendulum or random, such as the movement of a tire on a gravel road.

How to Calculate Natural Frequency of Torsional Vibration System?

Natural Frequency of Torsional Vibration System calculator uses Angular Frequency = sqrt(Stiffness of Shaft/Mass moment of inertia of disc) to calculate the Angular Frequency, Natural Frequency of Torsional Vibration System formula is defined as a measure of the frequency at which a torsional vibration system tends to oscillate when it is subjected to an external torque, providing valuable insights into the dynamic behavior of mechanical systems. Angular Frequency is denoted by ω' symbol.

How to calculate Natural Frequency of Torsional Vibration System using this online calculator? To use this online calculator for Natural Frequency of Torsional Vibration System, enter Stiffness of Shaft (s) & Mass moment of inertia of disc (I_disc) and hit the calculate button. Here is how the Natural Frequency of Torsional Vibration System calculation can be explained with given input values -> 0.318768 = sqrt(0.63/0.1574).

FAQ

What is Natural Frequency of Torsional Vibration System?

Natural Frequency of Torsional Vibration System formula is defined as a measure of the frequency at which a torsional vibration system tends to oscillate when it is subjected to an external torque, providing valuable insights into the dynamic behavior of mechanical systems and is represented as ω' = sqrt(s/I_disc) or Angular Frequency = sqrt(Stiffness of Shaft/Mass moment of inertia of disc). Stiffness of Shaft is the measure of a shaft's resistance to deformation or bending under an applied load in mechanical vibration systems & Mass moment of inertia of disc is a measure of an object's resistance to changes in its rotation rate in mechanical vibrations.

How to calculate Natural Frequency of Torsional Vibration System?

Natural Frequency of Torsional Vibration System formula is defined as a measure of the frequency at which a torsional vibration system tends to oscillate when it is subjected to an external torque, providing valuable insights into the dynamic behavior of mechanical systems is calculated using Angular Frequency = sqrt(Stiffness of Shaft/Mass moment of inertia of disc). To calculate Natural Frequency of Torsional Vibration System, you need Stiffness of Shaft (s) & Mass moment of inertia of disc (I_disc). With our tool, you need to enter the respective value for Stiffness of Shaft & 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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