Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness Calculator

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Design of IC Engine Components

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✖Stiffness of Valve Spring is a measure of the resistance offered by an elastic spring to deformation, every object in this universe has some stiffness.ⓘ Stiffness of Valve Spring [k]			+10% -10%
✖Mass of Valve Spring is defined as the quantitative measure of inertia, a fundamental property of all matter.ⓘ Mass of Valve Spring [m]			+10% -10%

✖Natural Frequency Valve Spring is the frequency at which the spring tends to oscillate in the absence of any driving or damping force.ⓘ Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness [ω_n]

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Formula

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Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness

Formula

`"ω"_{"n"} = (sqrt("k"/"m"))/2`

Example

`"122.4745Hz"=(sqrt("9N/mm"/"0.15kg"))/2`

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Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness Solution

STEP 0: Pre-Calculation Summary

Formula Used

Natural Frequency Valve Spring = (sqrt(Stiffness of Valve Spring/Mass of Valve Spring))/2
ω_n = (sqrt(k/m))/2
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

Natural Frequency Valve Spring - (Measured in Hertz) - Natural Frequency Valve Spring is the frequency at which the spring tends to oscillate in the absence of any driving or damping force.
Stiffness of Valve Spring - (Measured in Newton per Meter) - Stiffness of Valve Spring is a measure of the resistance offered by an elastic spring to deformation, every object in this universe has some stiffness.
Mass of Valve Spring - (Measured in Kilogram) - Mass of Valve Spring is defined as the quantitative measure of inertia, a fundamental property of all matter.

STEP 1: Convert Input(s) to Base Unit

Stiffness of Valve Spring: 9 Newton per Millimeter --> 9000 Newton per Meter (Check conversion here)
Mass of Valve Spring: 0.15 Kilogram --> 0.15 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω_n = (sqrt(k/m))/2 --> (sqrt(9000/0.15))/2

Evaluating ... ...

ω_n = 122.474487139159

STEP 3: Convert Result to Output's Unit

122.474487139159 Hertz --> No Conversion Required

FINAL ANSWER

122.474487139159 ≈ 122.4745 Hertz <-- Natural Frequency Valve Spring

(Calculation completed in 00.004 seconds)

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Home » Physics » IC Engine » Design of IC Engine Components » Valve Spring » Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness

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Created by Saurabh Patil

Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

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National Institute Of Technology (NIT), Hamirpur

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< 25 Valve Spring Calculators

Diameter of Wire of Engine Valve Spring

Go Wire Diameter of Valve Spring = sqrt((8*Wahl Factor of Valve Spring*((Initial Spring Force on Valve+Stiffness of Valve Spring*Lift of Valve)*Spring Index for Valve Spring))/(pi*Shear Stress in Valve Spring))

Wahl Factor for Engine Valve Spring given Spring Index

Go Wahl Factor of Valve Spring = (pi*Shear Stress in Valve Spring*Wire Diameter of Valve Spring^2)/(8*Spring Index for Valve Spring*(Initial Spring Force on Valve+Stiffness of Valve Spring*Lift of Valve))

Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire

Go Mean Coil Diameter of Valve Spring = Spring Index for Valve Spring*(sqrt((8*Wahl Factor of Valve Spring*(Axial Force on Valve Spring*Spring Index for Valve Spring))/(pi*Shear Stress in Valve Spring)))

Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring

Go Wire Diameter of Valve Spring = ((8*Axial Force on Valve Spring*Active Coils in Valve Spring*Mean Coil Diameter of Valve Spring^3)/(Modulus of Rigidity of Valve Spring*Maximum Compression in Valve Spring))^(1/4)

Maximum Compression of Engine Valve Spring given Total Turns

Go Maximum Compression in Valve Spring = (8*Axial Force on Valve Spring*(Total Coils in Valve Spring-2)*Mean Coil Diameter of Valve Spring^3)/(Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4)

Maximum Compression of Engine Valve Spring given Number of Active Turns

Go Maximum Compression in Valve Spring = (8*Axial Force on Valve Spring*Active Coils in Valve Spring*Mean Coil Diameter of Valve Spring^3)/(Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4)

Solid Length of Engine Valve Spring

Go Solid Length of Valve Spring = (((Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4)/(8*Mean Coil Diameter of Valve Spring^3*Stiffness of Valve Spring))+2)*Wire Diameter of Valve Spring

Diameter of Wire of Engine Valve Spring given Torsional Shear Stress in Wire

Go Wire Diameter of Valve Spring = sqrt((8*Wahl Factor of Valve Spring*Axial Force on Valve Spring*Spring Index for Valve Spring)/(pi*Shear Stress in Valve Spring))

Spring Index of Engine Valve Spring given Shear Stress, Maximum Force and Wire Diameter

Go Spring Index for Valve Spring = (pi*Shear Stress in Valve Spring*Wire Diameter of Valve Spring^2)/(8*Wahl Factor of Valve Spring*Axial Force on Valve Spring)

Wahl Factor for Engine Valve Spring given Mean Coil Diameter and Wire Diameter

Go Wahl Factor of Valve Spring = (pi*Shear Stress in Valve Spring*Wire Diameter of Valve Spring^2)/(8*Spring Index for Valve Spring*Axial Force on Valve Spring)

Diameter of Wire of Engine Valve Spring given Total Turns of Spring

Go Wire Diameter of Valve Spring = ((8*Mean Coil Diameter of Valve Spring^3*(Stiffness of Valve Spring*(Total Coils in Valve Spring-2)))/(Modulus of Rigidity of Valve Spring))^(0.25)

Diameter of Wire of Engine Valve Spring given Number of Active Turns of Spring

Go Wire Diameter of Valve Spring = ((8*Mean Coil Diameter of Valve Spring^3*Stiffness of Valve Spring*Active Coils in Valve Spring)/(Modulus of Rigidity of Valve Spring))^(0.25)

Stiffness of Engine Valve Spring given Total Turns of Spring

Go Stiffness of Valve Spring = (Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4)/(8*Active Coils in Valve Spring*Mean Coil Diameter of Valve Spring^3)

Free Length of Engine Valve Spring

Go Free Length of Valve Spring = Total Coils in Valve Spring*Wire Diameter of Valve Spring+1.15*Maximum Compression in Valve Spring

Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness

Go Natural Frequency Valve Spring = (sqrt(Stiffness of Valve Spring/Mass of Valve Spring))/2

Maximum Compression of Engine Valve Spring given its Free Length and Solid Length

Go Maximum Compression in Valve Spring = (Free Length of Valve Spring-Solid Length of Valve Spring)/(1.15)

Solid Length of Engine Valve Spring given its Free Length and Maximum Compression

Go Solid Length of Valve Spring = Free Length of Valve Spring-1.15*Maximum Compression in Valve Spring

Solid Length of Engine Valve Spring given Number of Active Turns of Spring and Wire Diameter

Go Solid Length of Valve Spring = (Active Coils in Valve Spring+2)*Wire Diameter of Valve Spring

Solid Length of Engine Valve Spring given Total Number of Turns of Spring and Wire Diameter

Go Solid Length of Valve Spring = Total Coils in Valve Spring*Wire Diameter of Valve Spring

Mass of Engine Valve Spring given its Natural Frequency of Vibration and Stiffness

Go Mass of Valve Spring = Stiffness of Valve Spring/(4*Natural Frequency Valve Spring^2)

Stiffness of Engine Valve Spring given its Natural Frequency of Vibration and Mass

Go Stiffness of Valve Spring = 4*Mass of Valve Spring*Natural Frequency Valve Spring^2

Total Gap between Coils of Engine Valve Spring given Maximum Compression of Spring

Go Total Axial Gap between Valve Spirng Coils = 0.15*Maximum Compression in Valve Spring

Maximum Compression of Engine Valve Spring given Total Gap between Coils of Spring

Go Maximum Compression in Valve Spring = Total Axial Gap between Valve Spirng Coils/0.15

Diameter of Wire of Engine Valve Spring given Mean Coil Diameter

Go Wire Diameter of Valve Spring = Mean Coil Diameter of Valve Spring/8

Mean Coil Diameter of Engine Valve Spring given Wire Diameter

Go Mean Coil Diameter of Valve Spring = 8*Wire Diameter of Valve Spring

Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness Formula

Natural Frequency Valve Spring = (sqrt(Stiffness of Valve Spring/Mass of Valve Spring))/2
ω_n = (sqrt(k/m))/2

What is meant by stiffness of spring?

Spring stiffness is a characteristic that describes the relationship between load and deflection. If k is stiffness, P is load, and x is deflection,
Then P = k*x
The smaller the deflection at a constant load, the stiffer the spring, k.

How to Calculate Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness?

Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness calculator uses Natural Frequency Valve Spring = (sqrt(Stiffness of Valve Spring/Mass of Valve Spring))/2 to calculate the Natural Frequency Valve Spring, Natural frequency of vibration of engine valve spring given its mass and stiffness is the frequency at which the valve spring tends to oscillate in the absence of any driving or damping force from the engine valve. Natural Frequency Valve Spring is denoted by ω_n symbol.

How to calculate Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness using this online calculator? To use this online calculator for Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness, enter Stiffness of Valve Spring (k) & Mass of Valve Spring (m) and hit the calculate button. Here is how the Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness calculation can be explained with given input values -> 122.4745 = (sqrt(9000/0.15))/2.

FAQ

What is Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness?

Natural frequency of vibration of engine valve spring given its mass and stiffness is the frequency at which the valve spring tends to oscillate in the absence of any driving or damping force from the engine valve and is represented as ω_n = (sqrt(k/m))/2 or Natural Frequency Valve Spring = (sqrt(Stiffness of Valve Spring/Mass of Valve Spring))/2. Stiffness of Valve Spring is a measure of the resistance offered by an elastic spring to deformation, every object in this universe has some stiffness & Mass of Valve Spring is defined as the quantitative measure of inertia, a fundamental property of all matter.

How to calculate Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness?

Natural frequency of vibration of engine valve spring given its mass and stiffness is the frequency at which the valve spring tends to oscillate in the absence of any driving or damping force from the engine valve is calculated using Natural Frequency Valve Spring = (sqrt(Stiffness of Valve Spring/Mass of Valve Spring))/2. To calculate Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness, you need Stiffness of Valve Spring (k) & Mass of Valve Spring (m). With our tool, you need to enter the respective value for Stiffness of Valve Spring & Mass of Valve Spring 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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