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Answer

the damping ratio is a dimensionless measure describing how oscillations in a system decay after a disturbance. Many systems exhibit oscillatory behavior when they are disturbed from their position of static equilibrium.

The damping ratio is a system parameter, denoted by ζ (zeta), that can vary from undamped (ζ=0), underdamped (ζ<1) through critically damped (ζ=1) to overdamped (ζ>1).

An underdamped system yields an exponentially decreasing sinusoidal output in response to a step input.

 

 

Answer

Under-damped Systems are SDOF systems where the damping ratio(ζ) of the system is less than 1.

Equation of motion of a free SDOF system can be written as:

damping ratio(ζ) = c/(2*m*w)

c = damping co-officient

​m = mass of the body

w = natural frequency of the system

for underdamped system,

ζ<1

Answer

Damping is an influence within or upon an oscillatory system that has the effect of reducing, restricting or preventing its oscillations. In physical systems, damping is produced by processes that dissipate the energy stored in the oscillation.

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