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ASC Paper Notes

https://www.americansolarchallenge.org/ASC/wp-content/uploads/2013/01/Dr_Starr_Stability_Paper_-_Rev_20060811.pdf

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titleIntro Notes, Scattered and some may not be useful but I want to keep it here anyways
  • Aspects of stability

    • rear end stability in turning and crosswinds

    • high-speed straight-line ability; reducing steering corrections

    • resistance to tipping in turns and sudden changes in road surfaces (from slippery to grippy)

    • “swapping ends” under hard braking? not quite sure what this means

  • CG must be a design specification

  • Slip angle stuff

    • Slip angle is a function of the lateral load, as well as the vertical load (on that tire)

    • generally, automotive tires have a max slip angle of around 10 degrees. further than that, and the vehicle will lose grip and slide

    • The plot of bike tire slip angles, showcasing how increasing load increases the lateral load for an X slip angle

      • this increase in grip is not proportional, however, with doubling the load from 67-135lb only yielding a 66% increase in lateral load

      • this is known as “load sensitivity”

      • coefficient of lateral load is the ratio of lateral to the vertical load

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titleThe Neutral Steer Point

The distance of the NSP from the front axle is determined by the following equation

Assuming the tires in the front and back are the same model, and thus the cornering stiffness values are the same, the equation simplifies down to 1/3WB.

The location of the CG relative to the NSP determines the characteristic of the yaw response. This can be summarized in variables known as the static margin and the understeer coefficient

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When turning, the side load from before becomes the centrifugal force. With this model, the steering angle can be described with the following equation

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This, using lateral force vs slip angle data such as figure 3 (in the first expandable section), this equation can be re-written as Re-writing this equation by replacing slip angles alpha yields the following equation.

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where W_f is the weight on the front axle and W_r is on the rear. This can be further simplified by introducing the understeer gradient and simplifying the lateral acceleration.

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For ASC regulations, the car must be able to withstand a 45-degree tipping table. This gives us an Fc of at least 1.

This is the equation for a 4 wheeler

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Braking Weight Transfer

Under braking, the following side view model can be used. In this scenario, the car may have 3 or 4 wheels.

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