Nonlinear Modeling and Analysis of Vehicle Vibrations Crossing Over a Speed Bump

Speed bumps are commonly used for traffic calming and improving road safety. However, their impact on vehicle vibrations and passenger comfort is a significant concern.

This research aims to model and analyze vehicle vibrations when crossing a speed bump to focus on rider and passenger comfort.

A nonlinear damped equation model was developed to simulate vehicle vibrations, incorporating external forces for realism. The homotopy perturbation method (HPM) and frequency amplitude method (FAM) were employed as mathematical tools to solve this problem. Numerical solutions were obtained using the fourth-order Runge-Kutta method (RK4) for validation.

The results from HPM and FAM showed good agreement with the numerical solutions from RK4, demonstrating their validity and accuracy. Velocity-displacement curves were analyzed, highlighting how various model parameters can lead to discomfort, pain, and loss of vehicle control.

The findings underscore the importance of optimizing speed bump design to enhance road safety while minimizing negative impacts on passenger comfort. Properly designed speed bumps can reduce vehicle vibrations and improve passenger comfort.