Please Answer All Parts Asap 1 (63.61 KiB) Viewed 17 times
An electric motor with a total mass of M (including an eccentric mass) is mounted at the free end of a cantilever beam of length l, width b, thickness t, density p, and flexural rigidity El. The electric motor rotates with the speed of w, while an eccentric mass m with an eccentric distance of e generates the eccentric harmonic force. (Neglect damping for (a) and (b)) Note: moment of inertia of the beam I 12 Assume: M= = 50 kg, m = 0.5 kg, 1 = 2 m, b = 0.4 m, t = 0.05 m, e = 0.1 m kg w = 1500 rpm, p = 7800 E = 180 Gpa. m3 = ibt? 1 . = = =
a) Derive the equation of motion of mass M and find the natural frequency of the system. Include the mass of the beam in calculations. (The effective mass of the cantilever at the tip is meff Mbeam) 33 140
c) Now a viscous damper is attached to the tip of the beam. Determine the damping coefficient if the deflection of the motor at resonance is 0.1 m.
Join a community of subject matter experts. Register for FREE to view solutions, replies, and use search function. Request answer by replying!
