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Magnification Factor given Displacement of Vibrations Formula

GoMagnification Factor at Resonance Formula

GoMagnification Factor if there is No Damping Formula

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Magnification Factor is the value of deflection under the dynamic force divided by the deflection under the static type of force. Check FAQs

D = \frac{d mass}{x o}

D - Magnification Factor?d_mass - Total Displacement?x_o - Deflection Under the Static Force?

Magnification Factor given Displacement of Vibrations Example

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Here is how the Magnification Factor given Displacement of Vibrations equation looks like with Values.

Here is how the Magnification Factor given Displacement of Vibrations equation looks like with Units.

Here is how the Magnification Factor given Displacement of Vibrations equation looks like.

0.001 = \frac{2}{2000}

0.001 = \frac{2mm}{2000mm}

0.001 = \frac{2}{2000}

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Magnification Factor given Displacement of Vibrations Solution

Follow our step by step solution on how to calculate Magnification Factor given Displacement of Vibrations?

FIRST Step Consider the formula

D = \frac{d mass}{x o}

Next Step Substitute values of Variables

∴

D = \frac{2mm}{2000mm}

Next Step Convert Units

∴

D = \frac{0.002m}{2m}

Next Step Prepare to Evaluate

∴

D = \frac{0.002}{2}

LAST Step Evaluate

∴

D = 0.001

Magnification Factor given Displacement of Vibrations Formula Elements

Variables

Magnification Factor

Magnification Factor is the value of deflection under the dynamic force divided by the deflection under the static type of force.

Symbol: D

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Magnification Factor

Total Displacement

Total Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.

Symbol: d_mass

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Total Displacement

Deflection Under the Static Force

Deflection under the static force is the deflection of system caused due to static force.

Symbol: x_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Deflection Under the Static Force

Other Formulas to find Magnification Factor

Go Magnification Factor at Resonance

D = \frac{k}{c \cdot ω n}

Go Magnification Factor if there is No Damping

D = \frac{{ω n}^{2}}{{ω n}^{2} - ω^{2}}

Go Magnification Factor

D = \frac{1}{\sqrt{{(c \cdot \frac{ω}{k})}^{2} + {(1 - {(\frac{ω}{ω n})}^{2})}^{2}}}

Other formulas in Magnification Factor or Dynamic Magnifier category

Go Maximum Displacement given Magnification Factor

d mass = D \cdot x o

Go Natural Circular Frequency given Magnification Factor

ω n = \frac{k}{D \cdot c}

How to Evaluate Magnification Factor given Displacement of Vibrations?

Magnification Factor given Displacement of Vibrations evaluator uses Magnification Factor = Total Displacement/Deflection Under the Static Force to evaluate the Magnification Factor, Magnification Factor given Displacement of Vibrations formula is defined as a measure of the amplification of vibrations in a system, describing the ratio of the amplitude of the mass to the amplitude of the oscillations, providing insight into the dynamic behavior of the system. Magnification Factor is denoted by D symbol.

How to evaluate Magnification Factor given Displacement of Vibrations using this online evaluator? To use this online evaluator for Magnification Factor given Displacement of Vibrations, enter Total Displacement (d_mass) & Deflection Under the Static Force (x_o) and hit the calculate button.

FAQs on Magnification Factor given Displacement of Vibrations

What is the formula to find Magnification Factor given Displacement of Vibrations?

The formula of Magnification Factor given Displacement of Vibrations is expressed as Magnification Factor = Total Displacement/Deflection Under the Static Force. Here is an example- 0.0077 = 0.002/2.

How to calculate Magnification Factor given Displacement of Vibrations?

With Total Displacement (d_mass) & Deflection Under the Static Force (x_o) we can find Magnification Factor given Displacement of Vibrations using the formula - Magnification Factor = Total Displacement/Deflection Under the Static Force.

What are the other ways to Calculate Magnification Factor?

Here are the different ways to Calculate Magnification Factor-

Magnification Factor=Stiffness of Spring/(Damping Coefficient*Natural Circular Frequency)
Magnification Factor=(Natural Circular Frequency^2)/(Natural Circular Frequency^2-Angular Velocity^2)
Magnification Factor=1/(sqrt((Damping Coefficient*Angular Velocity/Stiffness of Spring)^2+(1-(Angular Velocity/Natural Circular Frequency)^2)^2))

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Magnification Factor given Displacement of Vibrations Formula

​GoMagnification Factor at Resonance Formula

​GoMagnification Factor if there is No Damping Formula

Magnification Factor given Displacement of Vibrations Example

Magnification Factor given Displacement of Vibrations Solution

Magnification Factor given Displacement of Vibrations Formula Elements

Other Formulas to find Magnification Factor

Other formulas in Magnification Factor or Dynamic Magnifier category

How to Evaluate Magnification Factor given Displacement of Vibrations?

FAQs on Magnification Factor given Displacement of Vibrations

Variable Name

GoMagnification Factor at Resonance Formula

GoMagnification Factor if there is No Damping Formula