Degree of Freedom - Free Undamped Vibn ostant. Car mass X2 k Car spring 2k M2 M2 Tyre mass 2m k2 X2 Tyre stiffness 2k Figure P10 - Two-degree-of-freedom model of a vehicle suspension system Figure P11 temmis given-in-Figure Santy more sophisTicareo- ucr - vE P10. Write the equauons ur mouon mauIA TOTm. Caiculate the natururcquencieS 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, 1,- X2 %3D m m 2k 2m Figure P12 k 2k m m. Figure P13 Figure P14 Problem 12 W- WWHE H

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Problem 11
Two Degree of Freedom-Free Undamped Vibration
constant
Car mass
X2
k
Car spring
2k
M2
M2
Tyre mass
2m
k2
X2
Tyre stiffnes
2k
Figure P10 - Two-degree-of-freedom model of a
vehicle suspension system
Figure P11
Ham 10
tom-is given in Figure
P10. Write tne equauoiIIS Or mouon ImaUIX TOm.
Calculate the nat
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,
= 1,-
m
m
X2
2k
m
2m
Figure P12
k
2k
m
m.
m
Figure P13
Figure P14
Problem 12
W
Transcribed Image Text:Two Degree of Freedom-Free Undamped Vibration constant Car mass X2 k Car spring 2k M2 M2 Tyre mass 2m k2 X2 Tyre stiffnes 2k Figure P10 - Two-degree-of-freedom model of a vehicle suspension system Figure P11 Ham 10 tom-is given in Figure P10. Write tne equauoiIIS Or mouon ImaUIX TOm. Calculate the nat 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, = 1,- m m X2 2k m 2m Figure P12 k 2k m m. m Figure P13 Figure P14 Problem 12 W
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