Week 7 Challenge

Solution:

Modeling a vehicle model in Simulink involves representing the dynamic behavior of the vehicle using mathematical equations and Simulink blocks.

Forces acting on a vehicle.

• Tractive Force: the force exerted by a vehicle's wheels on the ground to propel the vehicle forward. It is the force that overcomes resistance (such as rolling resistance, aerodynamic drag, and gravitational forces) to move the vehicle.
• Rolling resistance Force: the force that opposes the motion of a vehicle's tires as they roll along the surface of the road. It is caused by the deformation of the tire and the interaction between the tire and the road surface.
• Grade Force: also known as grade resistance or gravitational force, is the force experienced by a vehicle when driving on an incline or decline. It is caused by the gravitational pull on the vehicle and acts parallel to the surface of the road.
• Aerodynamic drag force: the resistance encountered by a moving object due to the friction and pressure exerted by air molecules as the object moves through the air.

Formulas used in the model:

Rolling Resistance, Fr = M * g * µ * cos(α)

Grade Resistance ,Fg = M*g*sin(α)

Aerodynamic drag, Fad = 0.5 * Cd * Af * ρ * V^2

Total Force = Traction Force - (Fr+Fg+Fad)

Where,

M - Mass of the vehicle

g - acceleration due to gravity

µ - rolling resistance coefficient

Cd - Drag coefficient

Af - Frontal area of the vehicle

ρ - air density

V - velocity of vehicle

Simulink Model:

Parameters used for simuation:

Mass, M = 1500

g = 9.81

RR_Coeff = 1.2

Angle = 0

Air density, AD = 1.225

Frontal Area, FA = 2

Drag_Coeff = 2.5

Result Screenshot: