The left wheel of a conveyor belt is locked into position when the motor is accidentally switched on, exerting a harmonic torqueM(t) = M0 sinΩt about the hub of the right wheel, as indicated. The mass and radius of the flywheel are m and R, respectively. If no slipping occurs between the belt and wheels the effective stiffness of each leg of the elastic belt may be represented as k/2, as shown.
Determine the response of the system at resonance. What is the amplitude of the response at a time of 4 natural periods after the motor is switched on?
You can treat this case as a forced vibration with periodic excitation (force) based on your explanation.
Regards,
Emad
The problem is one of determining the total response at resonance of a spring mass system of stiffness K and mass m subject to a harmonic force of peak magnitude M/R. The formula for the same can be found in the book " Mechanical vibration and Noise Engineering" by A G Ambekar.
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