Global Journal of Researches in Engineering, A: Mechanical & Mechanics, Volume 22 Issue 1

: 1̈ 1 = ( 2 − 1 ) + (̇ 2 −̇ 1 ) − ( 1 − ) − (̇ 1 −̇ ) + 1̈ 1 + ( + ) ̇ 1 − ̇ 2 + ( + ) 1 − 2 = + ̇ + : 2̈ 2 = − (̇ 2 −̇ 1 ) − ( 2 − 1 ) − 2̈ 2 −̇ 1 + ̇ 2 − 1 + 2 = − : � 1 0 0 2 � �̈ 1̈ 2 � + � + − − � �̇ 1̇ 2 � + � + − − � � 1 2 � = � + ̇ + − � Where, is the actuator force. m 2 m 1 x 2 x 1 k s c s k t c t Linear actuatorr PID x t Figure 9: Active suspension system of a quarter car model g) Output Criteria Table 3 below shows the parameters that affect the ride comfort and the stability of the vehicle in the quarter car model and half car model, where the optimum design is to minimize the parameters as can be possible for the best ride comfort and stability.[7] Table 3: Outputs parameter criteria No. Parameters / Quarter Car Model Affect 1 Body Vertical Acceleration (m/s 2 ) Ride Comfort 2 Dynamic Tire Load (N) Stability 3 Suspensions Working Space (m) Stability 4 Body Displacement (m) Ride Comfort Global Journal of Researches in Engineering (A ) Volume XxXII Issue I Version I 53 Year 2022 © 2022 Global Journals Vibrational Behaviour of a Quarter Car Travelling over Road Humps with Different Suspension Systems (10) (11)