Figure Q1 shows a three-degree-of-freedom spring-mass system. If all the masses move to the right direction; a.Construct the free body diagram and develop the equation of motion for each mass. b.Write the equation of motion for the system in matrix form such that it is complete with all parameter values. c.Estimate the natural frequencies of the system where the spring coefficient, k1 = k2 = k3 = k4 = 127 N/m and the masses, m1 = m2 = m3 = 17 kg. d.Determine the mode shapes of the system. Assume x1=1 in modal vector Note: No need to sketch the mode shape diagram
Figure Q1 shows a three-degree-of-freedom spring-mass system. If all the masses move to the right direction; a.Construct the free body diagram and develop the equation of motion for each mass. b.Write the equation of motion for the system in matrix form such that it is complete with all parameter values. c.Estimate the natural frequencies of the system where the spring coefficient, k1 = k2 = k3 = k4 = 127 N/m and the masses, m1 = m2 = m3 = 17 kg. d.Determine the mode shapes of the system. Assume x1=1 in modal vector Note: No need to sketch the mode shape diagram
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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Figure Q1 shows a three-degree-of-freedom spring-mass system. If all the masses move
to the right direction;
a.Construct the free body diagram and develop the equation of motion for each mass.
b.Write the equation of motion for the system in matrix form such that it is complete
with all parameter values.
c.Estimate the natural frequencies of the system where the spring coefficient, k1 = k2
= k3 = k4 = 127 N/m and the masses, m1 = m2 = m3 = 17 kg.
d.Determine the mode shapes of the system. Assume x1=1 in modal
Note: No need to sketch the mode shape diagram
Transcribed Image Text:wwww
m₂
m₂
Figure Q1
m₂
2
0000000
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