Comparison study for double passive car suspension system through mathematical modelling and experimental work

The purpose of the car suspension was to enhance the safety and comfortability to the driver when driving a car on the road or highway. Car suspension was a system of spring or shock absorbers connecting between the wheels and axles to the chassis of a car. In this study, the comparison between mathematical modelling and experimental work for the ride performance of a passive quarter car model suspension system was shown and discussed. The mathematical modelling of double passive quarter car model suspension system was formulated and solved numerically using the second-order linear differential equation. The outputs from the mathematical modelling were plotted using MATLAB software. The vertical displacement was produced from the mathematical modelling at 0.015 m identified as a maximum point while the minimum point was at -0.015 m. The vertical displacements from the experimental work were at 0.02 m and -0.03 m at the minimum point. The comparison showed the oscillation of vertical displacement for the mathematical modelling and the experimental work were identical. All displacements were produced by the mathematical modelling tend to close to its mean which was 0.000176 m (almost zero). When the zero-displacement achieved, less-vibration was occurred. Due to the finding, the mathematical modelling has showed some potentials to be further explored, especially for predicting the suspension system model.