A motor is mounted on an elastic beam, at its midpoint, as shown in Figure 7.28.

Question

A motor is mounted on an elastic beam, at its midpoint, as shown in Figure 7.28. It produces a vertical downward harmonic force of 1000 sin wt in Newtons, where w is the forcing frequency in rad/s. The beam deflects 1 mm at its midpoint under the total mass of the system (the weight of the motor and the beam), which is estimated at 120 kg. Determine:

the stiffness of the beam;

the angular frequency of the system in rev/min

the max and min forcing frequencies in which the motor could operate such that the displacement on the beam should be within range of +or- 4mm

.

Explanation / Answer

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