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http://listenonrepeat.com/ watch/?v=X2Q_udvSakg#Col - - PowerPoint PPT Presentation

Feb 13, 2023 414 likes •916 views

http://listenonrepeat.com/ watch/?v=X2Q_udvSakg#Col umbia_FSAE_Metlife_Stadiu m_Autocross Making R acecars Go Faster with R Matthew Sheridan Overview 1. Vehicle Dynamics 2. Some Stats 3. Results! Ways to Make a Racecar Fast Big Engine

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http://listenonrepeat.com/ watch/?v=X2Q_udvSakg#Col umbia_FSAE_Metlife_Stadiu m_Autocross

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Making Racecars Go Faster with R

Matthew Sheridan

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Overview

  • 1. Vehicle Dynamics
  • 2. Some Stats
  • 3. Results!
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Ways to Make a Racecar Fast

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Big Engine

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Downforce

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Really Good Downforce

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Downforce Gone Bad

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High Power Low Drag

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Lower Drag Even Lower Power

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Bolt is not grip limited right now…

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Sliding = Slow

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Cool, but Slow

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Formula SAE Course

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We care most about Lateral Grip

  • Tune to Win
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What about weight?

No Area Term?

Coefficient of Static Friction varies with weight, pressure, temperature, and camber angle

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Camber Angle

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Want max grip while also having drivable car

  • Tune to Win
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I Don’t Trust Software that’s not R

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Printer + Pen + Scanner + MS Paint

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Magic Formula

y = sy+Dsin(C atan(B(x+sx)-E(B(x+sx)-atan(B(x+sx)))))

  • y = side force output, x = slip angle input
  • Sy = vertical shiff, sx = horizontal shift
  • B = Slope from origin
  • C = horizontal bounds of sin wave
  • D = peak value
  • E = curvature factor
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But in a billion dimensions nah….

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KNN Regression

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Local Regression

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Thin Plate Smoothing Spline

  • Actual MAGIC!
  • Minimizes

cross-validated residuals while also minimizing number knots in splines

  • MGCV Package

Simon Wood

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Nonlinear Least Squares on Magic Formula

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Trying GAM

Y = s(SA) + fz * SA^n

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Loess, Locfit

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More Locfit

Turn nearest neighbor value to n = 0.1

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Play with NN

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KNN Regression

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Locfit

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GAM

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Comparison of Tires

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Camber Interpolation

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Why don’t you try interpolating FZ too?

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Scale the Z

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Questions?

A.matthew@Columbia.edu