The vibration of a floor in a building containing heavy machine parts is modeled in the figure below. Each mass is assumed to be evenly spaced and significantly larger than the mass of the floor. The...

The vibration of a floor in a building containing heavy machine parts is modeled in the figure below. Each mass is assumed to be evenly spaced and significantly larger than the mass of the floor. The equation of motion becomes (mi=m2=m3=m).± Er 1 6 1 3 1 6 13 xi x2 x3 = ° 6: 13 { 192 1 6 9 L3 192 64Calculate the natural frequencies, mode shapes, time response. Assume that in placing box m2 on the floor (slowly) the resulting vibration is calculated by assuming that the initial displacement at m2 is 0.05 m. If m = 134 kg, E = 600,000,000 N/m2, and I = 4.17E-5 m4, L=2 m


CamScanner 04-29-2021 13.55