Question 11 Problem 9Figure378Mohd Yunus Hi Mhdalah MTwo Degree of Freedom-Free Undamped Vibrationa of Machines and Vibrationscanstant.Car massM.mkCar springM22kM2Tyre massk22mTyre stiffness2kFigure P10 - Two-degree-of-freedom model of avehicle suspension systemFigure P11E WW Problem 101 sightly more sophisticated model of a vehicle suspension system is given in FigureD10. Write the equations of motion in matrix form. Calculate the natural frequenciestr k=10° N/m ; k2=10* N/m ; M2=50 kg ; M1=2,000 kg.Problem 11Determine the two natural frequencies and mode shapes of the two-mass systems asstown in Figure P11.k4kX,X,%3D%3Dmmwiym2mFigure P122kmFigure P13Figure P14WWWW

Given: To determine: Natural frequency mode shape

Answered: Determine the two natural frequencies…

Engineering

Mechanical Engineering

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

Problem 1.1MA

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Concept explainers

Engineering Drawing

Technical drawing has been around since ancient times. As in the ancient Renaissance, complicated drawings were created, including Leonardo da Vinci's drawing. Modern engineering drawing, including its specific orthographic projection with scale conventions, began in Europe (France) during the early stages of Industrialization. L.T. C. Rolt also made some of Marc's drawings for its block-making machinery (in 1799) that also may have contributed significantly to British engineering technology. Since he learned the art of presenting three-dimensional(3D) items in a two-dimensional(2D) plane, as we now term mechanical drawing. 

Question

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

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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