Chilvera Bhanu Teja
Institute of Aeronautical Engineering (IARE), Hyderabad
Chilvera Bhanu Teja has created this Calculator and 200+ more calculators!
Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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11 Other formulas that you can solve using the same Inputs

Additional deflection of centre of gravity of the rotor when the shaft starts rotating
Additional deflection of C.G of the rotor=(Mass of the rotor*(Angular velocity^2)*Initial distance of centre of gravity of the rotor)/(Stiffness of shaft-(Mass of the rotor*(Angular velocity^2))) GO
Acceleration of body in terms of stiffness of shaft
Acceleration=(-Stiffness of shaft*Displacement of Body)/Load attached to the free end of constraint GO
Torsional stiffness of the shaft in terms of time period of vibration
Torsional stiffness of the shaft=(((2*pi)^2)*Mass moment of inertia of disc)/((Time Period)^2) GO
Time period for the vibrations
Time Period=2*pi*sqrt(Mass moment of inertia of disc/Torsional stiffness of the shaft) GO
Natural Frequency of free transverse vibrations
frequency=(sqrt(Stiffness of shaft/Load attached to the free end of constraint))/2*pi GO
Time period of free transverse vibrations
Time Period=2*pi*sqrt(Load attached to the free end of constraint/Stiffness of shaft) GO
Torsional stiffness of the shaft in terms of natural frequency of vibration
Torsional stiffness of the shaft=((frequency*2*pi)^2)*Mass moment of inertia of disc GO
Static deflection of the shaft
Static deflection=(Mass of the rotor*Acceleration Due To Gravity)/Stiffness of shaft GO
Critical or whirling speed in terms of stiffness of shaft
Critical or Whirling speed=sqrt(Stiffness of shaft/Mass of the rotor) GO
Natural circular frequency of the shaft
Natural circular frequency=sqrt(Stiffness of shaft/Mass of the rotor) GO
Restoring force
Force=-Stiffness of shaft*Displacement of Body GO

2 Other formulas that calculate the same Output

Angular frequency
Angular frequency in radians/sec=sqrt(Stiffness of spring/Mass) GO
Angular frequency if time period of motion is known
Angular frequency in radians/sec=2*pi/Time Period SHM GO

Natural frequency of a torsional vibration system Formula

Angular frequency in radians/sec=sqrt(Stiffness of shaft/Mass moment of inertia of disc)
w=sqrt(s/I)
More formulas
Force transmitted GO
Maximum displacement of vibration in terms of force transmitted GO
Stiffness of spring in terms of force transmitted GO
Damping coefficient in terms of force transmitted GO
Angular velocity of vibration in terms of force transmitted GO
Transmissibility ratio when force transmitted is known GO
Transmissibility ratio GO
Transmitted force if transmissibility ratio is known GO
Applied force if transmissibility ratio is known GO
Applied force if transmissibility ratio and maximum displacement of vibration is given GO
Maximum displacement of vibration if Transmissibility ratio is known GO
Transmissibility ratio in terms of magnification factor GO
Magnification factor if transmissibility ratio is given GO
Magnification factor in terms of transmissibility ratio if natural circular frequency is known GO
Transmissibility ratio if natural circular frequency and magnification factor is known GO
Transmissibility ratio if natural circular frequency and critical damping coefficient is known GO
Transmissibility ratio if there's no damping GO
Natural circular frequency in terms of transmissibility ratio GO
Displacement of body in simple harmonic motion GO
velocity of body in simple harmonic motion GO
Magnitude of acceleration of body in simple harmonic motion GO
Magnitude of acceleration of body in simple harmonic motion if displacement is known GO
Damping force GO
Spring force GO
Inertia force GO
Angular frequency GO
Frequency if spring constant and mass is known GO
Maximum velocity of body in simple harmonic motion GO
Magnitude of maximum acceleration of body in simple harmonic motion GO
Period of motion in simple harmonic motion GO
Angular frequency if time period of motion is known GO
Equivalent stiffness of two springs in parallel GO
Equivalent stiffness of two springs in series GO
Work done by a harmonic force GO
Frequency of vibration GO

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 a torsional vibration system?

Natural frequency of a torsional vibration system calculator uses Angular frequency in radians/sec=sqrt(Stiffness of shaft/Mass moment of inertia of disc) to calculate the Angular frequency in radians/sec, The Natural frequency of a torsional vibration system formula is defined as the square root of ratio of torsional stiffness to mass moment of inertia. . Angular frequency in radians/sec and is denoted by w symbol.

How to calculate Natural frequency of a torsional vibration system using this online calculator? To use this online calculator for Natural frequency of a torsional vibration system, enter Stiffness of shaft (s) and Mass moment of inertia of disc (I) and hit the calculate button. Here is how the Natural frequency of a torsional vibration system calculation can be explained with given input values -> 0.316228 = sqrt(0.6/6).

FAQ

What is Natural frequency of a torsional vibration system?
The Natural frequency of a torsional vibration system formula is defined as the square root of ratio of torsional stiffness to mass moment of inertia. and is represented as w=sqrt(s/I) or Angular frequency in radians/sec=sqrt(Stiffness of shaft/Mass moment of inertia of disc). Stiffness of shaft means that the lateral deflection of the shaft and/or angle of twist of the shaft should be within some prescribed limit and Mass moment of inertia of disc is a quantity that determines the torque needed for a desired angular acceleration about a rotational axis.
How to calculate Natural frequency of a torsional vibration system?
The Natural frequency of a torsional vibration system formula is defined as the square root of ratio of torsional stiffness to mass moment of inertia. is calculated using Angular frequency in radians/sec=sqrt(Stiffness of shaft/Mass moment of inertia of disc). To calculate Natural frequency of a torsional vibration system, you need Stiffness of shaft (s) and Mass moment of inertia of disc (I). With our tool, you need to enter the respective value for Stiffness of shaft and 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.
How many ways are there to calculate Angular frequency in radians/sec?
In this formula, Angular frequency in radians/sec uses Stiffness of shaft and Mass moment of inertia of disc. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Angular frequency in radians/sec=sqrt(Stiffness of spring/Mass)
  • Angular frequency in radians/sec=2*pi/Time Period SHM
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