Natural Frequency of Transverse Vibration Calculator

✖Stiffness of Constraint is the measure of resistance to deformation of a constraint in longitudinal and transverse vibrations due to inertia effects.ⓘ Stiffness of Constraint [s_constrain]			+10% -10%
✖Load Attached to Free End of Constraint is the force exerted on the free end of a constraint in longitudinal and transverse vibrations due to inertia.ⓘ Load Attached to Free End of Constraint [W_attached]			+10% -10%
✖Total Mass of Constraint is the total mass of the constraint that affects the longitudinal and transverse vibrations of an object due to its inertia.ⓘ Total Mass of Constraint [m_c]			+10% -10%

✖Frequency is the number of oscillations or cycles per second in a vibrating system, affected by inertia of constraint in longitudinal and transverse vibrations.ⓘ Natural Frequency of Transverse Vibration [f]

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Natural Frequency of Transverse Vibration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Frequency = (sqrt((Stiffness of Constraint)/(Load Attached to Free End of Constraint+Total Mass of Constraint*33/140)))/(2*pi)
f = (sqrt((s_constrain)/(W_attached+m_c*33/140)))/(2*pi)
This formula uses 1 Constants, 1 Functions, 4 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

Frequency - (Measured in Hertz) - Frequency is the number of oscillations or cycles per second in a vibrating system, affected by inertia of constraint in longitudinal and transverse vibrations.
Stiffness of Constraint - (Measured in Newton per Meter) - Stiffness of Constraint is the measure of resistance to deformation of a constraint in longitudinal and transverse vibrations due to inertia effects.
Load Attached to Free End of Constraint - (Measured in Kilogram) - Load Attached to Free End of Constraint is the force exerted on the free end of a constraint in longitudinal and transverse vibrations due to inertia.
Total Mass of Constraint - (Measured in Kilogram) - Total Mass of Constraint is the total mass of the constraint that affects the longitudinal and transverse vibrations of an object due to its inertia.

STEP 1: Convert Input(s) to Base Unit

Stiffness of Constraint: 13 Newton per Meter --> 13 Newton per Meter No Conversion Required
Load Attached to Free End of Constraint: 0.52 Kilogram --> 0.52 Kilogram No Conversion Required
Total Mass of Constraint: 28.125 Kilogram --> 28.125 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = (sqrt((s_constrain)/(W_attached+m_c*33/140)))/(2*pi) --> (sqrt((13)/(0.52+28.125*33/140)))/(2*pi)

Evaluating ... ...

f = 0.214612521566035

STEP 3: Convert Result to Output's Unit

0.214612521566035 Hertz --> No Conversion Required

FINAL ANSWER

0.214612521566035 ≈ 0.214613 Hertz <-- Frequency

(Calculation completed in 00.008 seconds)

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Home » Physics » Theory of Machine » Vibrations » Longitudinal and Transverse Vibrations » Effect of Inertia of Constraint in Longitudinal and Transverse Vibrations » Mechanical » Transverse Vibration » Natural Frequency of Transverse Vibration

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Indian Institute of Information Technology (IIIT), Guwahati

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< Transverse Vibration Calculators

Velocity of Small Element for Transverse Vibrations

LaTeX Go Velocity of Small Element = ((3*Length of Constraint*Distance between Small Element and Fixed End^2-Distance between Small Element and Fixed End^3)*Transverse Velocity of Free End)/(2*Length of Constraint^3)

Transverse Velocity of Free End

LaTeX Go Transverse Velocity of Free End = sqrt((280*Kinetic Energy)/(33*Total Mass of Constraint))

Total Mass of Constraint for Transverse Vibrations

LaTeX Go Total Mass of Constraint = (280*Kinetic Energy)/(33*Transverse Velocity of Free End^2)

Total Kinetic Energy of Constraint for Transverse Vibrations

LaTeX Go Kinetic Energy = (33*Total Mass of Constraint*Transverse Velocity of Free End^2)/280

Natural Frequency of Transverse Vibration Formula

LaTeX Go

Frequency = (sqrt((Stiffness of Constraint)/(Load Attached to Free End of Constraint+Total Mass of Constraint*33/140)))/(2*pi)
f = (sqrt((s_constrain)/(W_attached+m_c*33/140)))/(2*pi)

What is Natural Frequency?

Natural frequency is the frequency at which a system vibrates freely when disturbed from its equilibrium position. It is determined by the physical properties of the system, such as its mass, stiffness, and damping. When a system is forced to vibrate at its natural frequency, it experiences resonance, which can lead to amplified vibrations and potentially catastrophic failure.

How to Calculate Natural Frequency of Transverse Vibration?

Natural Frequency of Transverse Vibration calculator uses Frequency = (sqrt((Stiffness of Constraint)/(Load Attached to Free End of Constraint+Total Mass of Constraint*33/140)))/(2*pi) to calculate the Frequency, Natural Frequency of Transverse Vibration formula is defined as a measure of the frequency at which a system vibrates when it is subjected to a transverse force, taking into account the inertia of the constraint and the attached mass, and is an important concept in the study of longitudinal and transverse vibrations. Frequency is denoted by f symbol.

How to calculate Natural Frequency of Transverse Vibration using this online calculator? To use this online calculator for Natural Frequency of Transverse Vibration, enter Stiffness of Constraint (s_constrain), Load Attached to Free End of Constraint (W_attached) & Total Mass of Constraint (m_c) and hit the calculate button. Here is how the Natural Frequency of Transverse Vibration calculation can be explained with given input values -> 0.215056 = (sqrt((13)/(0.52+28.125*33/140)))/(2*pi).

FAQ

What is Natural Frequency of Transverse Vibration?

Natural Frequency of Transverse Vibration formula is defined as a measure of the frequency at which a system vibrates when it is subjected to a transverse force, taking into account the inertia of the constraint and the attached mass, and is an important concept in the study of longitudinal and transverse vibrations and is represented as f = (sqrt((s_constrain)/(W_attached+m_c*33/140)))/(2*pi) or Frequency = (sqrt((Stiffness of Constraint)/(Load Attached to Free End of Constraint+Total Mass of Constraint*33/140)))/(2*pi). Stiffness of Constraint is the measure of resistance to deformation of a constraint in longitudinal and transverse vibrations due to inertia effects, Load Attached to Free End of Constraint is the force exerted on the free end of a constraint in longitudinal and transverse vibrations due to inertia & Total Mass of Constraint is the total mass of the constraint that affects the longitudinal and transverse vibrations of an object due to its inertia.

How to calculate Natural Frequency of Transverse Vibration?

Natural Frequency of Transverse Vibration formula is defined as a measure of the frequency at which a system vibrates when it is subjected to a transverse force, taking into account the inertia of the constraint and the attached mass, and is an important concept in the study of longitudinal and transverse vibrations is calculated using Frequency = (sqrt((Stiffness of Constraint)/(Load Attached to Free End of Constraint+Total Mass of Constraint*33/140)))/(2*pi). To calculate Natural Frequency of Transverse Vibration, you need Stiffness of Constraint (s_constrain), Load Attached to Free End of Constraint (W_attached) & Total Mass of Constraint (m_c). With our tool, you need to enter the respective value for Stiffness of Constraint, Load Attached to Free End of Constraint & Total Mass of Constraint 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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