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Nomenclature xvii {z I } 1 Unit vector along z-axis of marker I resolved parallel to frame 1 (GRF) {z J } 1 Unit vector along z-axis of marker J resolved parallel to frame 1 (GRF) A Area A c Convective area of brake disc [A 1n ] Euler matrix for part n {A n } 1 Acceleration vector for part n resolved parallel to frame 1 (GRF) A p Centripetal acceleration {APQ} p 1 Centripetal acceleration vector P relative to Q referred to frame 1 (GRF) {APQ} t 1 Transverse acceleration vector P relative to Q referred to frame 1 (GRF) {APQ} c 1 Coriolis acceleration vector P relative to Q referred to frame 1 (GRF) {APQ} s 1 Sliding acceleration vector P relative to Q referred to frame 1 (GRF) AyG Lateral acceleration gain B Stiffness factor (‘Magic Formula’) [B] Transformation matrix from frame O e to O n BKid Bottom Kingpin Marker BM Bump Movement B T Brake torque C Shape factor (‘Magic Formula’) [C] Compliance matrix C F Front axle cornering stiffness C r Rolling resistance moment coefficient C R Rear axle cornering stiffness C S Tyre longitudinal stiffness C p Process capability CP Centre of pressure C Tyre lateral stiffness due to slip angle C Tyre lateral stiffness due to camber angle D Peak value (‘Magic Formula’) DM(I,J) Magnitude of displacement of I marker relative to J marker DX(I,J) Displacement in X direction of I marker relative to J marker parallel to GRF DY(I,J) Displacement in Y direction of I marker relative to J marker parallel to GRF DZ(I,J) Displacement in Z direction of I marker relative to J marker parallel to GRF E Young’s modulus of elasticity E Curvature factor (‘Magic Formula’) {F nA } 1 Applied force vector on part n resolved parallel to frame 1 (GRF) {F nC } 1 Constraint force vector on part n resolved parallel to frame 1 (GRF) F FRC Lateral force reacted by front roll centre F RRC Lateral force reacted by rear roll centre F x Longitudinal tractive or braking tyre force F y Lateral tyre force Vertical tyre force F z
xviii Nomenclature F zc F zk Vertical tyre force due to damping Vertical tyre force due to stiffness {F A } 1 {F B } 1 … Applied force vectors at points A, B, … resolved parallel to frame 1 (GRF) [F E ] Elastic compliance matrix (Concept suspension) F D Drag force FG Fixed Ground Marker G Shear modulus GC Gravitational constant GO Ground Level Offset GRF Ground Reference Frame {H} 1 Angular momentum vector for a body H() Transfer function HTC Half Track Change I Mass moment of inertia I Second moment of area ICY Y Co-ordinate of Instant Centre ICZ Z Co-ordinate of Instant Centre [I n ] Inertia tensor for a part J Polar second moment of area Jz Vehicle body yaw inertia (Wenzel model) K Drive torque controller constant K Spring stiffness K Stability factor K Understeer gradient K z Tyre radial stiffness K T Torsional stiffness K Ts Roll stiffness due to springs K Tr Roll stiffness due to anti-roll bar L Length L Wheelbase {L} 1 Linear momentum vector for a particle or body LPRF Local Part Reference Frame L R Tyre relaxation length M FRC Moment reacted by front roll centre {M nA } e Applied moment vector on part n resolved parallel to frame e {M nC } e Constraint moment vector on part n resolved parallel to frame e M s M x M y M z Equivalent roll moment due to springs Tyre overturning moment Tyre rolling resistance moment Tyre self-aligning moment MRF Marker Reference Frame M RRC Moment reacted by rear roll centre N r Vehicle yaw moment with respect to yaw rate [N t ] Norsieck vector N vy Vehicle yaw moment with respect to lateral velocity O 1 Frame 1 (GRF) O e Euler axis frame Oi Reference frame for part i Oj Reference frame for part j
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- Page 14 and 15: Preface xiii vehicle design process
- Page 16 and 17: Acknowledgements Mike Blundell In d
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Nomenclature<br />
xvii<br />
{z I } 1 Unit vector along z-axis of marker I resolved parallel to<br />
frame 1 (GRF)<br />
{z J } 1 Unit vector along z-axis of marker J resolved parallel to<br />
frame 1 (GRF)<br />
A Area<br />
A c Convective area of brake disc<br />
[A 1n ] Euler matrix for part n<br />
{A n } 1 Acceleration vector for part n resolved parallel to frame 1 (GRF)<br />
A p Centripetal acceleration<br />
{APQ} p 1 Centripetal acceleration vector P relative to Q referred to<br />
frame 1 (GRF)<br />
{APQ} t 1 Transverse acceleration vector P relative to Q referred to<br />
frame 1 (GRF)<br />
{APQ} c 1 Coriolis acceleration vector P relative to Q referred to frame 1<br />
(GRF)<br />
{APQ} s 1 Sliding acceleration vector P relative to Q referred to frame 1<br />
(GRF)<br />
AyG Lateral acceleration gain<br />
B Stiffness factor (‘Magic Formula’)<br />
[B] Transformation matrix from frame O e to O n<br />
BKid Bottom Kingpin Marker<br />
BM Bump Movement<br />
B T Brake torque<br />
C Shape factor (‘Magic Formula’)<br />
[C] Compliance matrix<br />
C F Front axle cornering stiffness<br />
C r Rolling resistance moment coefficient<br />
C R Rear axle cornering stiffness<br />
C S Tyre longitudinal stiffness<br />
C p Process capability<br />
CP Centre of pressure<br />
C Tyre lateral stiffness due to slip angle<br />
C Tyre lateral stiffness due to camber angle<br />
D Peak value (‘Magic Formula’)<br />
DM(I,J) Magnitude of displacement of I marker relative to J marker<br />
DX(I,J) Displacement in X direction of I marker relative to J marker<br />
parallel to GRF<br />
DY(I,J) Displacement in Y direction of I marker relative to J marker<br />
parallel to GRF<br />
DZ(I,J) Displacement in Z direction of I marker relative to J marker<br />
parallel to GRF<br />
E Young’s modulus of elasticity<br />
E Curvature factor (‘Magic Formula’)<br />
{F nA } 1 Applied force vector on part n resolved parallel to frame 1<br />
(GRF)<br />
{F nC } 1 Constraint force vector on part n resolved parallel to frame 1<br />
(GRF)<br />
F FRC Lateral force reacted by front roll centre<br />
F RRC Lateral force reacted by rear roll centre<br />
F x Longitudinal tractive or braking tyre force<br />
F y Lateral tyre force<br />
Vertical tyre force<br />
F z