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# Effect of Damping Notes | EduRev

## Mechanical Engineering : Effect of Damping Notes | EduRev

The document Effect of Damping Notes | EduRev is a part of the Mechanical Engineering Course Theory of Machines (TOM).
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Damped Systems

• Damping is an effect which causes a Reduction in the amplitude of an oscillation as a Result of energy being drained from the system to overcame frictional/other Resistive forces.
• These are the systems in which kinetic friction is zero. Technical Name of Kinetic friction in any Vibrations system is known as, Damping.

Damping in Any System

Damping force ox = (x = velocity)
= c·x
Where, c = coefficient of damping

The equilibrium equation of a damped spring-mass system is given as

It is a 2nd order differential equation.

Types of Damping Systems

1. Overdamped System(ζ>1)
No vibrations will be present in an over-damped system.
Critically Damped Systems(ζ = 1):
∴ No Vibrations
Note: Critical damping response is much faster than overdamping response i.e. in critically-damped systems, the body once displaced comes into its Equilibrium Position much faster than that in overdamped systems.
2. Under Damped Systems (ζ < 1)
∴ Damped frequency, ωd = ωn(1 - ξ2)1/2
Time period Td = 2π/wd (Second)
Linear frequency, fn = 1/Td (Hz)
Hence, Amplitude of under-Damped Vibrations is not constant and it decreases exponentially w.r.t. time.
3. Logarithmic Decrement (δ)
δ = In (Decrement ratio)
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## Theory of Machines (TOM)

94 videos|41 docs|28 tests

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