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

m 2 m 1 x 2 x 1 k s c s k t c t x t Figure 5: Passive suspension system of a quarter car model e) Semi-active Suspension System Fig. 6 shows the configuration of the semi-active suspension system when the vehicle is travelling over a hump. The semi-active suspension system is characterized by the presence of a controller that received the signals from the sprung mass vertical acceleration and treats them by adapting the damping coefficient of the suspension system. The equations of motion can be expressed as follow: Global Journal of Researches in Engineering (A ) Volume XxXII Issue I Version I 51 Year 2022 © 2022 Global Journals Vibrational Behaviour of a Quarter Car Travelling over Road Humps with Different Suspension Systems 1 : 1 ¨ 1 = 2 − 1 ( ) + ˙ 2 − ˙ 1 ( ) − 1 − ( ) − ˙ 1 − ˙ ( ) 1 ¨ 1 + ( + ) ˙ 1 − ˙ 2 + ( + ) 1 − 2 = + 2 : 2 ¨ 2 =− ˙ 2 − ˙ 1 ( ) − 2 − 1 ( ) 2 ¨ 2 − ˙ 1 + ˙ 2 − 1 + 2 = 0 ℎ , 1 ℎ , 2 ℎ , 1 , 2 ℎ , Cs is sprung damper, Ct is unsprung damper, Ks is sprung stiffenes and Kt is unsprung stiffenes (6) (7)