Question

A reciprocating pump weighing W-150 lb, is mounted at a middle of a steel plate of thickness 0.5 in., width of 20 in., and clamped along two edges as shown. During operation of pump, the plate is subjected to a harmonic force F(t)-P, . cos(ω·) [lb] 0.5 in. 100 in. where the amplitude of harmonic force is Fo=50 lb and its angular frequency: ω-62832 radl s Model the system as a simple spring and mass system in the horizontal plane. The mass is m=W/g, and the stiffness of the plate fixed at both ends subjected to a concentrated load at its center is k - 192EI E(t)-Fo cos(ω t) Problem #3 (Beats) For the forcing frequency 55 rad/s slightly different than the natural frequency Show the analytic equation for the response x(t) for an undamped system under harmonic force, with initial conditions: x(o) 0,(o) 0 The period of beating Simulate the problem using Working Model (mass-spring in horizontal plane). Plot the response x(t) from Working Model and from Matlab 1. 2. 3. 4.

Answer 1

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