At time, t
fun in a particular direction ,
fun = (MRotor eω2)
where, f0 = (mRotor eω2)—max volume of unbalanced force.
ω—force frequency or excitation.
1.2. Reciprocating Unbalance: (in Piston-crank)
[mR—mass of Reciprocating Ports]
(mass of Piston + mass of crosshead + mass of connecting Rod)
Where, ω = forced frequency and m = machine mass (whole) which is under vibrations.
1.3. Forced-Damped Systems (Perfect Reality)
Fig.1: Forced vibrations of a damped spring mass system
After some time, CF = 0
Were, A = Amplitude of steady state vibrations (independence of time) (forced vibrations)
Running system vibrations will never stop.
Every machine/mechanical running system must have one running life.
1.4. Magnification factor (M.F.):
Fig.2: magnification factor
- As Underdamping Increases
1.5. Phase Diagram or forced-Damped system:
- Spring and damping force’s max values are perpendicular to each other.
- Inertia force lies exactly opposite (At 180°) To the spring force’s max value.
1.6. Vibration Isolations:
It is used to isolate the ground from the vibrations of the Running machine so as to save other stationary m/cs from these vibration effects.
Fig.3: vibration isolation
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