The situation of a vehicle traveling across road pavement is an example of vibration due to base excitation. This situat

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The Situation Of A Vehicle Traveling Across Road Pavement Is An Example Of Vibration Due To Base Excitation This Situat 1 (46.34 KiB) Viewed 31 times

The situation of a vehicle traveling across road pavement is an example of vibration due to base excitation. This situation is commonly represented by a 2-degree-of-freedom (DOF) system which is better known as the 'quarter vehicle model' (QVM), consisting of the approximately quarter sprung mass (vehicle body) mb, unsprung mass (wheel assembly) mw, suspension stiffness ks, suspension damping Cs, and tire stiffness kr. A particular passenger car has the following set of values: m₂ mb = 317.5 kg mw = 45.4 kg k, = 22000 Nm ¹ C₁ = 1500 Nsm¹¹ mw k₂ = 192000 Nm¹¹ Fig. 1: Quarter vehicle model as possible representation of vehicle driving situation Scope of Work: (1) Derive the two equations of motion of the QVM. (2) By solving analytically the equations obtained from (1), determine the displacement response for the sprung mass me and the unsprung mass mw, subjected to: (a) A harmonic excitation, z, = 0.02 x sin (31.4t) (b) A step input, z = 0.02 Plot your response from 0 to 3 sec at a sampling time of 0.002 sec. This is the analytical solution. 55