3. 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 (m1=m2=m3=m). 9 64 EI mx + L3 6 13 192 91 161316 91 13 192 x1 x2 = 0 6 9 x3 64 Calculate 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 = 127 kg, E = 600,000,000 N/m2, and I = 4.17E-5 m4, L-2 m. Calculate the response and plot your results.

3. 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 (m1=m2=m3=m). 9 64 EI mx + L3 6 13 192 91 161316 91 13 192 x1 x2 = 0 6 9 x3 64 Calculate 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 = 127 kg, E = 600,000,000 N/m2, and I = 4.17E-5 m4, L-2 m. Calculate the response and plot your results.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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