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xx<br />

Nomenclature<br />

TK Top Kingpin Marker<br />

TR Suspension Trail<br />

{U r } Unit vector normal to road surface at tyre contact point<br />

{U s } Unit vector acting along spin axis of tyre<br />

UCF Units Consistency Factor<br />

US Understeer<br />

V Forward velocity<br />

V a Actual forward velocity<br />

V e Error variance<br />

V g Ground plane velocity<br />

V lowlimit Limiting velocity<br />

{V n } 1 Velocity vector for part n resolved parallel to frame 1 (GRF)<br />

{V p } 1 Velocity vector of tyre contact point P referenced to frame 1<br />

V s Desired simulation velocity<br />

V xc Longitudinal slip velocity of tyre contact point<br />

Vy Lateral slip velocity of tyre contact point<br />

Vz Vertical velocity of tyre contact point<br />

VR(I,J) Radial line of sight velocity of I marker relative to J marker<br />

WB Wheel Base Marker<br />

WC Wheel Centre Marker<br />

WF Wheel Front Marker<br />

WR Wheel Recession<br />

XP Position vector of a point in a marker xz plane<br />

{X SAE } 1 Unit vector acting at tyre contact point in X SAE direction<br />

referenced to frame 1<br />

Y r Vehicle side force with respect to yaw rate<br />

Y vy Vehicle side force with respect to lateral velocity<br />

YRG Yaw rate gain<br />

{Y SAE } 1 Unit vector acting at tyre contact point in Y SAE direction<br />

referenced to frame 1<br />

{Z SAE } 1 Unit vector acting at tyre contact point in Z SAE direction<br />

referenced to frame 1<br />

ZP Position vector of a point on a marker z-axis<br />

Tyre slip angle<br />

{ n } 1 Angular acceleration vector for part n resolved parallel to<br />

frame 1 (GRF)<br />

f Front axle slip angle<br />

r Rear axle slip angle<br />

Side slip angle<br />

Rate of change of side slip angle (beta dot)<br />

Steer or toe angle<br />

o Steer angle of outer wheel<br />

i Steer angle of inner wheel<br />

mean Average steer angle of inner and outer wheels<br />

Camber angle<br />

{ n } e Set of Euler angles for part n<br />

Damping ratio<br />

Longitudinal slip (Pacjeka)<br />

Sensitivity of process<br />

2nd Euler angle rotation<br />

{} 1 Reaction force vector resolved parallel to frame 1 (GRF)<br />

Magnitude of reaction force for constraint d<br />

d

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