Acceleration refers to the rate of change of velocity over time and can be measured in gravitational units. Amplitude refers to the magnitude of variation from a zero value and should be modified to specify if it refers to displacement, velocity, etc. Displacement specifies the change in position, usually along an axis. Velocity is the rate of change of displacement over time and can refer to angular or linear motion. Oscillation is the periodic variation of a quantity around an equilibrium value. Natural frequency is the inherent frequency at which a system oscillates without external forcing.
2. Acceleration is the rate of change
of velocity with time. It is usually measured along
a specified axis and expressed
in g or gravitational units. It may refer to
angular motion.
Amplitude is the magnitude of a quantity’s
variation from its zero value. It should be
modified with an adjective such as peak, RMS,
average, etc. It may refer to displacement,
velocity, acceleration, voltage, current, force, or
pressure.
3. Displacement specifies change of position, or
distance, usually measured from mean position or
position of rest. Usually applies to uniaxial, less
often to angular motion.
Velocity is the rate of change of displacement
with time, usually along a specified axis. It may
refer to angular motion or uniaxial motion.
Angular frequency is the torsional vibration
frequency in radians per second. Alternatively,
multiply the value by 2p and express it in hertz
(Hz) or cycles per second (cps). Also known as
circular or torsional frequency.
4. Oscillation is defined as the process of repeating variations of any quantity
or measure about its equilibrium value in time. Oscillation can also be
defined as a periodic variation of a matter between two values or about its
central value.
Natural frequency, also known as eigenfrequency, is the frequency at
which a system tends to oscillate in the absence of any driving force.
5. In the above figure, the amplitude of the wave is being
diminished with time. The amplitude of the wave gets
reduced and such oscillations are called damped oscillation.
6. An undamped oscillation is an oscillation in which, when
displaced from its equilibrium point, experiences a restoring
force which is proportional to the displacement. So, in the
undamped oscillation system, the magnitude of the
oscillations never fades and the magnitude of the oscillation
remains the same. An example of undamped oscillation is
alternating current (AC Wave)
The magnitude of alternating current oscillates between two
values across the equilibrium value, repeatedly and without
any change in magnitude or time period. In alternating
currents, no restraining force acts and the magnitude of the
signal does not fade with respect to time and keeps on
maintaining the same amplitude.
7. Undamped oscillation is a type of mechanical vibration
where there is no opposing force to slow down the motion.
The amplitude of the oscillation will stay constant over time,
and the period will be the same as well.