Determine the two natural frequencies and mode shapes of thể two-mass syst

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Question 11

Problem 9
Figure
378
Mohd Yunus Hi Mhdalah M
Two Degree of Freedom-Free Undamped Vibration
a of Machines and Vibrations
canstant.
Car mass
M.
m
k
Car spring
M2
2k
M2
Tyre mass
k2
2m
Tyre stiffness
2k
Figure P10 - Two-degree-of-freedom model of a
vehicle suspension system
Figure P11
E WW
Transcribed Image Text:Problem 9 Figure 378 Mohd Yunus Hi Mhdalah M Two Degree of Freedom-Free Undamped Vibration a of Machines and Vibrations canstant. Car mass M. m k Car spring M2 2k M2 Tyre mass k2 2m Tyre stiffness 2k Figure P10 - Two-degree-of-freedom model of a vehicle suspension system Figure P11 E WW
Problem 10
1 sightly more sophisticated model of a vehicle suspension system is given in Figure
D10. Write the equations of motion in matrix form. Calculate the natural frequencies
tr k=10° N/m ; k2=10* N/m ; M2=50 kg ; M1=2,000 kg.
Problem 11
Determine the two natural frequencies and mode shapes of the two-mass systems as
stown in Figure P11.
k
4k
X,
X,
%3D
%3D
m
m
wiy
m
2m
Figure P12
2k
m
Figure P13
Figure P14
WW
WW
Transcribed Image Text:Problem 10 1 sightly more sophisticated model of a vehicle suspension system is given in Figure D10. Write the equations of motion in matrix form. Calculate the natural frequencies tr k=10° N/m ; k2=10* N/m ; M2=50 kg ; M1=2,000 kg. Problem 11 Determine the two natural frequencies and mode shapes of the two-mass systems as stown in Figure P11. k 4k X, X, %3D %3D m m wiy m 2m Figure P12 2k m Figure P13 Figure P14 WW WW
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