Two-Degree-of-Freedom Vehicle Dynamics Model (Simulink)

This article provides a comprehensive guide on building a Two-Degree-of-Freedom (2-DOF) vehicle dynamics model in Simulink with MATLAB implementation for automotive dynamics simulation. The model enables analysis of vehicle motion characteristics including acceleration, velocity, and steering behavior. We begin by constructing a fundamental vehicle model using Simulink blocks representing key components like mass-spring-damper systems for vertical dynamics and bicycle models for lateral dynamics. The implementation involves configuring transfer functions and state-space representations to capture essential vehicle behaviors. Through parameter tuning and optimization techniques, we demonstrate how to adjust model characteristics to match specific vehicle properties. The article covers systematic parameter variation methods using MATLAB scripting to validate model accuracy and reliability, including sensitivity analysis tests. We explore practical applications in automotive engineering, such as vehicle design optimization and control system development, with examples of integrating PID controllers for stability enhancement. The implementation showcases key MATLAB functions like ode solvers for differential equations and Simulink's Vehicle Body Blockset for realistic simulation. Readers will gain deep insights into Simulink-MATLAB integration techniques and fundamental principles of vehicle dynamics modeling, equipping them with skills to develop advanced automotive simulation systems.