A simplified model of the wheels-body-seat system of a vehicle in Fig. shown.
a) Obtain the differential equations for the small amplitude vibrations of the system.
b) Determine the mass and stiffness matrices of the system.
c) Using the given numerical values, the natural frequencies and mode shapes of the system and find it. Print out the program you used for your solution on paper to your answer.

 

m3, J3 LL k6 L k4 F m k3 k m V X3