Maximum Displacement given Magnification Factor Calculator

✖Magnification Factor is the value of deflection under the dynamic force divided by the deflection under the static type of force.ⓘ Magnification Factor [D]			+10% -10%
✖Deflection under the static force is the deflection of system caused due to static force.ⓘ Deflection under the static force [x_o]			+10% -10%

✖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.ⓘ Maximum Displacement given Magnification Factor [d_mass]

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Formula

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Maximum Displacement given Magnification Factor

Formula

`"d"_{"mass"} = "D"*"x"_{"o"}`

Example

`"38.38mm"="19.19"*"2mm"`

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Maximum Displacement given Magnification Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Displacement = Magnification Factor*Deflection under the static force
d_mass = D*x_o
This formula uses 3 Variables

Variables Used

Total Displacement - (Measured in Meter) - 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.
Magnification Factor - Magnification Factor is the value of deflection under the dynamic force divided by the deflection under the static type of force.
Deflection under the static force - (Measured in Meter) - Deflection under the static force is the deflection of system caused due to static force.

STEP 1: Convert Input(s) to Base Unit

Magnification Factor: 19.19 --> No Conversion Required
Deflection under the static force: 2 Millimeter --> 0.002 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_mass = D*x_o --> 19.19*0.002

Evaluating ... ...

d_mass = 0.03838

STEP 3: Convert Result to Output's Unit

0.03838 Meter -->38.38 Millimeter (Check conversion here)

FINAL ANSWER

38.38 Millimeter <-- Total Displacement

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Vibrations » Longitudinal and Transverse Vibrations » Magnification Factor or Dynamic Magnifier » Maximum Displacement given Magnification Factor

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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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< 6 Magnification Factor or Dynamic Magnifier Calculators

Magnification Factor

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

Magnification Factor if there is No Damping

Go Magnification Factor = (Natural Circular Frequency^2)/(Natural Circular Frequency^2-Angular Velocity^2)

Natural Circular Frequency given Magnification Factor

Go Natural Circular Frequency = Stiffness of Spring/(Magnification Factor*Damping coefficient)

Magnification Factor at Resonance

Go Magnification Factor = Stiffness of Spring/(Damping coefficient*Natural Circular Frequency)

Magnification Factor given Displacement of Vibrations

Go Magnification Factor = Total Displacement/Deflection under the static force

Maximum Displacement given Magnification Factor

Go Total Displacement = Magnification Factor*Deflection under the static force

Maximum Displacement given Magnification Factor Formula

Total Displacement = Magnification Factor*Deflection under the static force
d_mass = D*x_o

What is dynamic magnification factor?

Dynamic magnification factor is defined as the ratio of the dynamic deflection at any time to the static deflection which would have resulted from the static application of the external load, which is used in specifying the load-time variation.

How to Calculate Maximum Displacement given Magnification Factor?

Maximum Displacement given Magnification Factor calculator uses Total Displacement = Magnification Factor*Deflection under the static force to calculate the Total Displacement, The Maximum Displacement given Magnification Factor formula is defined the product of magnification factor and Deflection under the static force. Total Displacement is denoted by d_mass symbol.

How to calculate Maximum Displacement given Magnification Factor using this online calculator? To use this online calculator for Maximum Displacement given Magnification Factor, enter Magnification Factor (D) & Deflection under the static force (x_o) and hit the calculate button. Here is how the Maximum Displacement given Magnification Factor calculation can be explained with given input values -> 1240 = 19.19*0.002.

FAQ

What is Maximum Displacement given Magnification Factor?

The Maximum Displacement given Magnification Factor formula is defined the product of magnification factor and Deflection under the static force and is represented as d_mass = D*x_o or Total Displacement = Magnification Factor*Deflection under the static force. Magnification Factor is the value of deflection under the dynamic force divided by the deflection under the static type of force & Deflection under the static force is the deflection of system caused due to static force.

How to calculate Maximum Displacement given Magnification Factor?

The Maximum Displacement given Magnification Factor formula is defined the product of magnification factor and Deflection under the static force is calculated using Total Displacement = Magnification Factor*Deflection under the static force. To calculate Maximum Displacement given Magnification Factor, you need Magnification Factor (D) & Deflection under the static force (x_o). With our tool, you need to enter the respective value for Magnification Factor & Deflection under the static force 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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