Mechanical Vibrations
An industrial machine of mass 453.4kg is supported on springs with a static deflection of 0.508cm. If the machine has a rotating unbalance of 0.2303kg.m,determine:
a) the force transmitted to the floor at 1200rpm, and b) the dynamic amplitude at this speed. (assume damping to be negligible)
Homework Answers
Calculate the stiffness of the spring.
Here, 
is the mass of the machine, 
is the acceleration due to gravity, and 
is the static deflection of the springs.
Substitute 
for 
, 
for 
, and 
for 
.
Calculate the natural frequency of the system.
Substitute 
for 
and 
for 
.
Calculate the angular velocity transmitted to the floor.
Here, 
is the number of revolutions per minute.
Substitute 
for 
.
(b)
Write the equation for the dynamic amplitude.
Here, 
is the rotating unbalance.
Substitute 
for 
, 
for 
, 
for 
, and 
for 
.
Therefore, the dynamic amplitude at the corresponding speed is 
.
(a)
Calculate the force transmitted to the floor at 
.
Substitute 
for 
and 
for 
.
Therefore, the force transmitted to the floor at 
is 
.
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Mechanical vibrations problem
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The amplitude of the vibration is...
Q-3 (25 pts) An industrial machine of total mass M-600 kg is supported on springs with a static deflection of 5.9 mm. The machine has a rotating unbalance of m40 kg (part of the total mass) at an effective eccentricity of es3.0 mm. Determine the amplitude of resulting vibration and phase angle when the unbalance rotates at -350 rpm. The system is damped with a dashpot of ce 15000 Ns/m. M Consider only vertical effects
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plz make sure while answering
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solve above problem
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A 36-lb motor is bolted to a light horizontal beam that has a
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assuming that the damping factor
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The amplitude of the vibration is...
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