Mathematical Model for the Dynamic Equation of a Truck's Motion

This paper addresses the problem of formulating the dynamic equations of motion for a truck and developing its mathematical models. The motion of the truck is mathematically represented based on Newton's second law and Lagrange's equations. The dynamic characteristics of the truck, including its speed, force, and mass dependence, are analyzed using Newton's second law, while Lagrange's equations are applied to calculate the system's kinetic and potential energies. Using these methods, differential equations are formulated for the truck's motion, and its motion trajectories are analyzed. The study focuses on the dynamics of a truck moving on an inclined plane, calculating the motion trajectories at different speeds and angles. These calculations reveal the relationships between the truck's maximum speed, energy consumption, and motion trajectories. Furthermore, the energy accumulation process for trucks of various masses is examined, providing insights into how energy is consumed and accumulated during motion. Based on the results, potential ways to optimize the truck's motion and reduce energy consumption are discussed. The scientific significance of this study lies in its potential to create opportunities for efficient and energy-saving motion, particularly in the fields of transportation and mechanical systems. This mathematical model is also useful for improving energy processes in transportation systems and developing practical solutions to enhance the operational efficiency of trucks.