- #1

Jason Louison

- 70

- 6

**Summary:**Impossible System?

Hello, I am trying to simulate the dynamics of a vehicle accelerating from a standstill to top speed. The vehicle acceleration equation is:

A

_{v}= (F

_{t}+F

_{f})/m

Where F

_{t}= Traction Force, F

_{f}= Friction Force (From Drag and Rolling Resistance), and m = Vehicle Mass

My problem here is that the traction force depends on vertical load on the tire, which also depends on the acceleration of the vehicle.

W

_{f,r,d}= W

_{f,r,s}+(h/L)*m*A

h = vehicle height, L = wheelbase, W(f,r,s) and W(f,r,d) is the static and dynamic weight (load) on the front and rear wheels.

The Traction force is calculated by multiplying the vertical load on the tire by the longitudinal tire force aka normalized longitudinal force. The latter is determined by using Pacejka's Magic Tire Formula. What I don't understand is how am I supposed to calculate the acceleration if the acceleration is needed to calculate...acceleration?

Here are some screenshots of the website I am referencing:

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