kı Jum 3 m₁ X₁ k2 w 3 92 m₂ X₂2₂ k3 mining

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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Consider the MDOF damped system shown below. Assume
k₁ =24, k₂ = k₂ = 3; m₁ =m₂ =1kg; x(0) =
-O).
1.
Derive the EOM
2. What are the Mass and Stiffness matrices
3. Calculate the characteristic equation for the system
4. Solve the for system's natural frequencies
5. Calculate the mode shape vectors of the system
6. Calculate the system response
k₁
k₂
k3
Füü
m₁
m₂
C1
X1
X2
C₁ = C₂ = C₂ = 0
C3
x(0) =
-(8)
33
MEEG 3113 - Fundamentals of Vibrations
Transcribed Image Text:Consider the MDOF damped system shown below. Assume k₁ =24, k₂ = k₂ = 3; m₁ =m₂ =1kg; x(0) = -O). 1. Derive the EOM 2. What are the Mass and Stiffness matrices 3. Calculate the characteristic equation for the system 4. Solve the for system's natural frequencies 5. Calculate the mode shape vectors of the system 6. Calculate the system response k₁ k₂ k3 Füü m₁ m₂ C1 X1 X2 C₁ = C₂ = C₂ = 0 C3 x(0) = -(8) 33 MEEG 3113 - Fundamentals of Vibrations
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