Transmissibility Ratio given Force Transmitted Calculator

✖Force Transmitted is the amount of energy transferred from a vibrating system to another system or structure, affecting its motion and stability.ⓘ Force Transmitted [F_T]			+10% -10%
✖Applied Force is the force that is intentionally applied to a system to induce or maintain mechanical vibrations.ⓘ Applied Force [F_a]			+10% -10%

✖Transmissibility Ratio is the ratio of the response amplitude of a system to the excitation amplitude in mechanical vibration analysis.ⓘ Transmissibility Ratio given Force Transmitted [ε]

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Transmissibility Ratio given Force Transmitted Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transmissibility Ratio = Force Transmitted/Applied Force
ε = F_T/F_a
This formula uses 3 Variables

Variables Used

Transmissibility Ratio - Transmissibility Ratio is the ratio of the response amplitude of a system to the excitation amplitude in mechanical vibration analysis.
Force Transmitted - (Measured in Newton) - Force Transmitted is the amount of energy transferred from a vibrating system to another system or structure, affecting its motion and stability.
Applied Force - (Measured in Newton) - Applied Force is the force that is intentionally applied to a system to induce or maintain mechanical vibrations.

STEP 1: Convert Input(s) to Base Unit

Force Transmitted: 48021.6 Newton --> 48021.6 Newton No Conversion Required
Applied Force: 2500 Newton --> 2500 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε = F_T/F_a --> 48021.6/2500

Evaluating ... ...

ε = 19.20864

STEP 3: Convert Result to Output's Unit

19.20864 --> No Conversion Required

FINAL ANSWER

19.20864 <-- Transmissibility Ratio

(Calculation completed in 00.020 seconds)

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Home » Physics » Theory of Machine » Vibrations » Longitudinal and Transverse Vibrations » Mechanical » Vibration Isolation and Transmissibility » Transmissibility Ratio given Force Transmitted

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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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< Vibration Isolation and Transmissibility Calculators

Maximum Displacement of Vibration using Force Transmitted

LaTeX Go Maximum Displacement = Force Transmitted/(sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2))

Stiffness of Spring using Force Transmitted

LaTeX Go Stiffness of Spring = sqrt((Force Transmitted/Maximum Displacement)^2-(Damping Coefficient*Angular Velocity)^2)

Damping Coefficient using Force Transmitted

LaTeX Go Damping Coefficient = (sqrt((Force Transmitted/Maximum Displacement)^2-Stiffness of Spring^2))/Angular Velocity

Force Transmitted

LaTeX Go Force Transmitted = Maximum Displacement*sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2)

< Forced Vibration Calculators

Applied Force given Transmissibility Ratio and Maximum Displacement of Vibration

LaTeX Go Applied Force = (Maximum Displacement*sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2))/Transmissibility Ratio

Angular Velocity of Vibration using Force Transmitted

LaTeX Go Angular Velocity = (sqrt((Force Transmitted/Maximum Displacement)^2-Stiffness of Spring^2))/Damping Coefficient

Damping Coefficient using Force Transmitted

LaTeX Go Damping Coefficient = (sqrt((Force Transmitted/Maximum Displacement)^2-Stiffness of Spring^2))/Angular Velocity

Applied Force given Transmissibility Ratio

LaTeX Go Applied Force = Force Transmitted/Transmissibility Ratio

Transmissibility Ratio given Force Transmitted Formula

LaTeX Go

Transmissibility Ratio = Force Transmitted/Applied Force
ε = F_T/F_a

What is meant by Vibration Isolation?

Vibration isolation is a commonly used technique for reducing or suppressing unwanted vibrations in structures and machines. With this technique, the device or system of interest is isolated from the source of vibration through insertion of a resilient member or isolator.

How to Calculate Transmissibility Ratio given Force Transmitted?

Transmissibility Ratio given Force Transmitted calculator uses Transmissibility Ratio = Force Transmitted/Applied Force to calculate the Transmissibility Ratio, Transmissibility Ratio given Force Transmitted formula is defined as a measure of the proportion of force transmitted to the foundation through the isolator in a mechanical vibration system, providing a quantitative representation of the vibration isolation performance. Transmissibility Ratio is denoted by ε symbol.

How to calculate Transmissibility Ratio given Force Transmitted using this online calculator? To use this online calculator for Transmissibility Ratio given Force Transmitted, enter Force Transmitted (F_T) & Applied Force (F_a) and hit the calculate button. Here is how the Transmissibility Ratio given Force Transmitted calculation can be explained with given input values -> 19.20864 = 48021.6/2500.

FAQ

What is Transmissibility Ratio given Force Transmitted?

Transmissibility Ratio given Force Transmitted formula is defined as a measure of the proportion of force transmitted to the foundation through the isolator in a mechanical vibration system, providing a quantitative representation of the vibration isolation performance and is represented as ε = F_T/F_a or Transmissibility Ratio = Force Transmitted/Applied Force. Force Transmitted is the amount of energy transferred from a vibrating system to another system or structure, affecting its motion and stability & Applied Force is the force that is intentionally applied to a system to induce or maintain mechanical vibrations.

How to calculate Transmissibility Ratio given Force Transmitted?

Transmissibility Ratio given Force Transmitted formula is defined as a measure of the proportion of force transmitted to the foundation through the isolator in a mechanical vibration system, providing a quantitative representation of the vibration isolation performance is calculated using Transmissibility Ratio = Force Transmitted/Applied Force. To calculate Transmissibility Ratio given Force Transmitted, you need Force Transmitted (F_T) & Applied Force (F_a). With our tool, you need to enter the respective value for Force Transmitted & Applied Force 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 Transmissibility Ratio?

In this formula, Transmissibility Ratio uses Force Transmitted & Applied Force. We can use 3 other way(s) to calculate the same, which is/are as follows -

Transmissibility Ratio = (Maximum Displacement*sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2))/Applied Force
Transmissibility Ratio = (Magnification Factor*sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2))/Stiffness of Spring
Transmissibility Ratio = Magnification Factor*sqrt(1+((2*Damping Coefficient*Angular Velocity)/(Critical Damping Coefficient*Natural Circular Frequency))^2)

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