Figure below shows an ideakzed model of an automobile travelling over a rough road wilth velocity...

 

Transcribed Image Text:

Figure below shows an ideakzed model of an automobile travelling over a rough road wilth velocity v All the wheels are assumed to be identical and the car can be modelled as a two degree-of-freedom system The car has total mass of m, and the leaf springs have a total stiffness of k The wheels and axdes have a mass of m, and the tires have a total stiffness of k Assuming only the vertical motions of m and m, and the sinusoidal variation of the road surlace with amplitude /2 and frequency 2=2nv/1, the equations of motion of the system are k1 -k -k k + k2 0 m2 k2 Ycos(ot)/2 m (Automobile) -k, (Leaf spring) m(Wheels and axles) k. (Tires) For the case where mja1100 kg ms300 kg ky400 kN/m and ka-550 kN/m, find the amplitudes of the wheels and car when it traves with elocty Figure below shows an ideakzed model of an automobile travelling over a rough road wilth velocity v All the wheels are assumed to be identical and the car can be modelled as a two degree-of-freedom system The car has total mass of m, and the leaf springs have a total stiffness of k The wheels and axdes have a mass of m, and the tires have a total stiffness of k Assuming only the vertical motions of m and m, and the sinusoidal variation of the road surlace with amplitude /2 and frequency 2=2nv/1, the equations of motion of the system are k1 -k -k k + k2 0 m2 k2 Ycos(ot)/2 m (Automobile) -k, (Leaf spring) m(Wheels and axles) k. (Tires) For the case where mja1100 kg ms300 kg ky400 kN/m and ka-550 kN/m, find the amplitudes of the wheels and car when it traves with elocty