Ferdox
Industrial
- Jul 4, 2013
- 1
Hi guys!
I'm trying to get the 4 Paramaters (B,C,D,E) for the magic formula of Pacejka, which discribes the lateral behaviour of the tire.
I got a complex dataset called pacejka 4.2 but i don't know how to use it.
Can you help me?
You can see the dataset below.
$ $Id: MF_205_60R15_V91.tir,v 1.1.1.1 2011/01/31 13:57:32 fh Exp $
$---------------------------------------------------------------------MDI_HEADER
[MDI_HEADER]
FILE_TYPE = 'tir'
FILE_VERSION = 3.0
FILE_FORMAT = 'ASCII'
(COMMENTS)
{comment_string}
'Tire MF52 205/60R15 91V, 2.2bar
'Version 23/07/2010
'
$--------------------------------------------------------------------------units
[UNITS]
LENGTH ='meter'
FORCE ='newton'
ANGLE ='radians'
MASS ='kg'
TIME ='second'
$--------------------------------------------------------------------------model
[MODEL]
PROPERTY_FILE_FORMAT ='MF_05' $ ADAMS property file format
USE_MODE = 14 $ tire use switch
$FITTYP = 5 $ magic formula version number
$MFSAFE1 = 0 $
$MFSAFE2 = 0 $
$MFSAFE3 = 0 $
$----------------------------------------------------------------------dimension
[DIMENSION]
UNLOADED_RADIUS = 0.3185 $ free tire radius
WIDTH = 0.205 $ nominal tire width
RIM_RADIUS = 0.1905 $ rim radius
RIM_WIDTH = 0.1524 $ rim width
ASPECT_RATIO = 0.60 $ aspect ratio
$-----------------------------------------------------------------------vertical
[VERTICAL]
VERTICAL_STIFFNESS = 236700 $ tire vertical stiffnesss
VERTICAL_DAMPING = 50 $ tire vertical damping
BREFF = 5.0 $ low load stiffness eff. rolling radius
DREFF = 0.3 $ peak value of eff. rolling radius,
FREFF = 0.1 $ high load stiffness eff. rolling radius
FNOMIN = 6500 $ nominal wheel load
$----------------------------------------------------------------long_slip_range
[LONG_SLIP_RANGE]
KPUMIN = -0.30 $ Minimum longitudinal slip
KPUMAX = 0.30 $ Maximum longitudinal slip
$---------------------------------------------------------------slip_angle_range
[SLIP_ANGLE_RANGE]
ALPMIN = -0.1745 $ Minimum side slip angle
ALPMAX = 0.1745 $ Maximum side slip angle
$---------------------------------------------------------inclination_slip_range
[INCLINATION_ANGLE_RANGE]
CAMMIN = -0.1047 $ Minimum inclination angle
CAMMAX = 0.1047 $ Maximum inclination angle
$-----------------------------------------------------------vertical_force_range
[VERTICAL_FORCE_RANGE]
FZMIN = 400.0 $ Minimum wheel load
FZMAX = 8500.0 $ Maximum wheel load
$------------------------------------------------------------------------scaling
[SCALING_COEFFICIENTS]
LFZO = 1 $ scale factor of nominal (rated) load
LCX = 1 $ scale factor of Fx shape factor
LMUX = 1 $ scale factor of Fx peak friction coefficient
LEX = 1 $ scale factor of Fx curvature factor
LKX = 1 $ scale factor of Fx slip stiffness
LHX = 1 $ scale factor of Fx horizontal shfit
LVX = 1 $ scale factor of Fx vertical shift
LGAX = 1 $ scale factor of camber for Fx
LCY = 1 $ scale factor of Fy shape factor
LMUY = 1 $ scale factor of Fy peak friction coefficient
LEY = 1 $ scale factor of Fy curvature factor
LKY = 1 $ scale factor of Fy cornering stiffness
LHY = 1 $ scale factor of Fy horizontal shift
LVY = 1 $ scale factor of Fy vertical shift
LGAY = 1 $ scale factor of camber for Fy
LTR = 1 $ scale factor of peak of pneumatic trail
LRES = 1 $ scale factor for offset of residual torque
LGAZ = 1 $ scale factor of camber for Mz
LXAL = 1 $ scale factor of alpha infulence on Fx
LYKA = 1 $ scale factor of kappa influence on Fy
LVYKA = 1 $ scale factor of kappa induced Fy
LS = 1 $ scale factor of Mz moment arm of Fx
LSGKP = 1 $ scale factor of relaxation length of Fx
LSGAL = 1 $ scale factor of relaxation length of Fy
LGYR = 1 $ scale factor of gyroscopic torque
LMX = 1 $ scale factor of overturning couple stiffness
LVMX = 1 $ scale factor of Mx vertical shift
LMY = 1 $ scale factor of rolling resistance torque
$-------------------------------------------------------------------longitudinal
[LONGITUDINAL_COEFFICIENTS]
PCX1 = 1.6055 $ shape factor Cfx for longitudinal force
PDX1 = 1.1703 $ longitudinal friction Mux at FzNom
PDX2 = -0.081328 $ variation of friction Mux with load
PDX3 = 0 $ variation of friction Mux with camber
PEX1 = 0.53409 $ longitudinal curvature Efx at FzNom
PEX2 = -0.019956 $ variation of curvature Efx with load
PEX3 = 0.18089 $ variation of curvature Efx with squared load
PEX4 = 2.9951e-07 $ factor in curvature Efx while driving
PKX1 = 36.411 $ longitudinal slip stiffness Kfx/Fz at FzNom
PKX2 = 0.12615 $ variation of slip stiffness Kfx/Fz with load
PKX3 = 0.51289 $ exponent in slip stiffness Kfx/Fz with load
PHX1 = 0 $ horizontal shift Shx at Fznom
PHX2 = 0 $ variation of shift Shx with load
PVX1 = 0 $ vertical shift Svx/Fz at FzNom
PVX2 = 0 $ variation of shift Svx/Fz with load
RBX1 = 18.456 $ slope factor for combined slip Fx reduction
RBX2 = 16.314 $ variation of slope Fx reduction with Kappa
RCX1 = 1.091 $ shape factor for combined slip Fx reduction
REX1 = 0 $ curvature factor of combined Fx
REX2 = 0 $ curvature factor of combined Fx with load
RHX1 = 0.0058715 $ shift factor for combined slip Fx reduction
PTX1 = 1.5 $ relaxation length Sig_Kappa/Fz at FzNom
PTX2 = 0.180096 $ variation of Sig_Kappa/Fz with load
PTX3 = -0.15 $ variation of Sig_Kappa/Fz with exponent of load
$--------------------------------------------------------------------overturning
[OVERTURNING_COEFFICIENTS]
QSX1 = 2.3155e-04 $ lateral force induced overturning couple
QSX2 = 0.51574 $ camber induced overturning couple
QSX3 = 0.046399 $ Fy induced overturning couple
$------------------------------------------------------------------------lateral
[LATERAL_COEFFICIENTS]
PCY1 = 2.1322 $ shape factor Cfy for lateral forces
PDY1 = 1.0283 $ lateral friction Muy at FzNom
PDY2 = -0.16758 $ variation of friction Muy with load
PDY3 = -1.5821 $ variation of friction Muy with squared camber
PEY1 = 0.33443 $ lateral curvature Efy at FzNom
PEY2 = -1.8733 $ variation of curvature Efy with load
PEY3 = -0.13136 $ zero order camber dependency of curvature Efy
PEY4 = -11.677 $ variation of curvature Efy with camber
PKY1 = -20.505 $ maximum value of stiffness Kfy/FzNom
PKY2 = 2.0284 $ load at which Kfy reaches maximum value
PKY3 = 0.89994 $ variation of Kfy/Fznom with camber
PHY1 = 0.0031377 $ horizontal shift Shy at FzNom
PHY2 = 0.00051596 $ variation of shift Shy with load
PHY3 = 0.039251 $ variation of shift Shy with camber
PVY1 = 0.026365 $ vertical shift in Svy/Fz at FzNom
PVY2 = -0.0062119 $ variation of shift Svy/Fz with load
PVY3 = -0.41389 $ variation of shift Svy/Fz with camber
PVY4 = -0.048038 $ variation of shift Svy/Fz with camber and load
RBY1 = 22.003 $ slope factor for combined Fy reduction
RBY2 = -13.623 $ variation of slope Fy reduction with Alpha
RBY3 = -0.0093616 $ shfit term for alpha in slope Fy reduction
RCY1 = 0.98294 $ shape factor for combined Fy reduction
REY1 = 0 $ Curvature factor of combined Fy
REY2 = 0 $ Curvature factor of combined Fy with load
RHY1 = -9.1492e-11 $ shift factor for combined Fy reduction
RHY2 = 0 $ shift factor for combined Fy reduction with load
RVY1 = 22.965 $ kappa induced side force Svyk/Muy*Fz at FzNom
RVY2 = 0.37981 $ variation of Svyk/Muy*Fz with load
RVY3 = 1.8552 $ variation of Svyk/Muy*Fz with camber
RVY4 = 0.08767 $ variation of Svyk/Muy*Fz with alpha
RVY5 = -8.8234e-11 $ variation of Svyk/Muy*Fz with kappa
RVY6 = 0.90374 $ variation of Svyk/Muy*Fz with atan(kappa)
PTY1 = 1.75 $ peak value of relaxation length Sig_Alpha
PTY2 = 1.35 $ shape factor for Sig_alpha
$------------------------------------------------------------------------rolling
[ROLLING_COEFFICIENTS]
QSY1 = 0.01 $ rolling resistance torque coefficient
QSY2 = 0.0 $ rolling resistance torque depending on Fx
QSY3 = 0.0 $ rolling resistance torque depending on speed
QSY4 = 0.0 $ rolling resistance torque depending on speed ^4
$-----------------------------------------------------------------------aligning
[ALIGNING_COEFFICIENTS]
QBZ1 = 19.588 $ trail slope factor for trail Bpt at FzNom
QBZ2 = -4.1671 $ variation of slope Bpt with load
QBZ3 = -0.34132 $ variation of slope Bpt with squared load
QBZ4 = -0.023607 $ variation of slope Bpt with camber
QBZ5 = -0.0793 $ variation of slope Bpt with absolute camber
QBZ9 = -50.0 $ slope factor Br of residual torque Mzr
QBZ10 = 0.000 $ slope factor Br of residual torque Mzr
QCZ1 = 1.2012 $ shape factor Cpt for pneumatic trail
QDZ1 = 0.12819 $ peak trail Dpt'' = Dpt*(Fz/FzNom*R0)
QDZ2 = -0.0052433 $ variation of peak Dpt'' with load
QDZ3 = -0.099544 $ variation of peak Dpt'' with camber
QDZ4 = -15.0 $ variation of peak Dpt'' with squared camber
QDZ6 = 6.2499e-05 $ peak resisual torque Dmr'' = Dmr*(Fz*R0)
QDZ7 = 5.0135e-04 $ variation of peak factor Dmr'' with load
QDZ8 = -0.28564 $ variation of peak factor Dmr'' with camber
QDZ9 = -0.025056 $ variation of peak factor Dmr'' with camber and load
QEZ1 = -0.0044308 $ trail curvature Ept at FzNom
QEZ2 = 0.022579 $ variation of curvature Ept with load
QEZ3 = -0.16199 $ variation of curvature Ept with squared load
QEZ4 = -0.5576 $ variation of curvature Ept with sign of Alpha-t
QEZ5 = -87.296 $ variation of curvature Ept with camber and sign Alpha-t
QHZ1 = 8.2436e-04 $ trail horizontal shift Sht at FzNom
QHZ2 = 0.002733 $ variation of shift Sht with load
QHZ3 = 0.15 $ variation of shift Sht with camber
QHZ4 = 0.11608 $ variation of shift Sht with camber and load
SSZ1 = -5.3899e-10 $ nominal value of s/R0 effect of Fx on Mz
SSZ2 = -2.2371e-09 $ variation of distance s/R0 with Fy/FzNom
SSZ3 = 3.6029e-08 $ variation of distance s/R0 with camber
SSZ4 = 3.9826e-08 $ variation of distance s/R0 with camber and load
QTZ1 = 0.3 $ gyroscopic torque constant
MBELT = 7.5 $ belt mass of wheel
I'm trying to get the 4 Paramaters (B,C,D,E) for the magic formula of Pacejka, which discribes the lateral behaviour of the tire.
I got a complex dataset called pacejka 4.2 but i don't know how to use it.
Can you help me?
You can see the dataset below.
$ $Id: MF_205_60R15_V91.tir,v 1.1.1.1 2011/01/31 13:57:32 fh Exp $
$---------------------------------------------------------------------MDI_HEADER
[MDI_HEADER]
FILE_TYPE = 'tir'
FILE_VERSION = 3.0
FILE_FORMAT = 'ASCII'
(COMMENTS)
{comment_string}
'Tire MF52 205/60R15 91V, 2.2bar
'Version 23/07/2010
'
$--------------------------------------------------------------------------units
[UNITS]
LENGTH ='meter'
FORCE ='newton'
ANGLE ='radians'
MASS ='kg'
TIME ='second'
$--------------------------------------------------------------------------model
[MODEL]
PROPERTY_FILE_FORMAT ='MF_05' $ ADAMS property file format
USE_MODE = 14 $ tire use switch
$FITTYP = 5 $ magic formula version number
$MFSAFE1 = 0 $
$MFSAFE2 = 0 $
$MFSAFE3 = 0 $
$----------------------------------------------------------------------dimension
[DIMENSION]
UNLOADED_RADIUS = 0.3185 $ free tire radius
WIDTH = 0.205 $ nominal tire width
RIM_RADIUS = 0.1905 $ rim radius
RIM_WIDTH = 0.1524 $ rim width
ASPECT_RATIO = 0.60 $ aspect ratio
$-----------------------------------------------------------------------vertical
[VERTICAL]
VERTICAL_STIFFNESS = 236700 $ tire vertical stiffnesss
VERTICAL_DAMPING = 50 $ tire vertical damping
BREFF = 5.0 $ low load stiffness eff. rolling radius
DREFF = 0.3 $ peak value of eff. rolling radius,
FREFF = 0.1 $ high load stiffness eff. rolling radius
FNOMIN = 6500 $ nominal wheel load
$----------------------------------------------------------------long_slip_range
[LONG_SLIP_RANGE]
KPUMIN = -0.30 $ Minimum longitudinal slip
KPUMAX = 0.30 $ Maximum longitudinal slip
$---------------------------------------------------------------slip_angle_range
[SLIP_ANGLE_RANGE]
ALPMIN = -0.1745 $ Minimum side slip angle
ALPMAX = 0.1745 $ Maximum side slip angle
$---------------------------------------------------------inclination_slip_range
[INCLINATION_ANGLE_RANGE]
CAMMIN = -0.1047 $ Minimum inclination angle
CAMMAX = 0.1047 $ Maximum inclination angle
$-----------------------------------------------------------vertical_force_range
[VERTICAL_FORCE_RANGE]
FZMIN = 400.0 $ Minimum wheel load
FZMAX = 8500.0 $ Maximum wheel load
$------------------------------------------------------------------------scaling
[SCALING_COEFFICIENTS]
LFZO = 1 $ scale factor of nominal (rated) load
LCX = 1 $ scale factor of Fx shape factor
LMUX = 1 $ scale factor of Fx peak friction coefficient
LEX = 1 $ scale factor of Fx curvature factor
LKX = 1 $ scale factor of Fx slip stiffness
LHX = 1 $ scale factor of Fx horizontal shfit
LVX = 1 $ scale factor of Fx vertical shift
LGAX = 1 $ scale factor of camber for Fx
LCY = 1 $ scale factor of Fy shape factor
LMUY = 1 $ scale factor of Fy peak friction coefficient
LEY = 1 $ scale factor of Fy curvature factor
LKY = 1 $ scale factor of Fy cornering stiffness
LHY = 1 $ scale factor of Fy horizontal shift
LVY = 1 $ scale factor of Fy vertical shift
LGAY = 1 $ scale factor of camber for Fy
LTR = 1 $ scale factor of peak of pneumatic trail
LRES = 1 $ scale factor for offset of residual torque
LGAZ = 1 $ scale factor of camber for Mz
LXAL = 1 $ scale factor of alpha infulence on Fx
LYKA = 1 $ scale factor of kappa influence on Fy
LVYKA = 1 $ scale factor of kappa induced Fy
LS = 1 $ scale factor of Mz moment arm of Fx
LSGKP = 1 $ scale factor of relaxation length of Fx
LSGAL = 1 $ scale factor of relaxation length of Fy
LGYR = 1 $ scale factor of gyroscopic torque
LMX = 1 $ scale factor of overturning couple stiffness
LVMX = 1 $ scale factor of Mx vertical shift
LMY = 1 $ scale factor of rolling resistance torque
$-------------------------------------------------------------------longitudinal
[LONGITUDINAL_COEFFICIENTS]
PCX1 = 1.6055 $ shape factor Cfx for longitudinal force
PDX1 = 1.1703 $ longitudinal friction Mux at FzNom
PDX2 = -0.081328 $ variation of friction Mux with load
PDX3 = 0 $ variation of friction Mux with camber
PEX1 = 0.53409 $ longitudinal curvature Efx at FzNom
PEX2 = -0.019956 $ variation of curvature Efx with load
PEX3 = 0.18089 $ variation of curvature Efx with squared load
PEX4 = 2.9951e-07 $ factor in curvature Efx while driving
PKX1 = 36.411 $ longitudinal slip stiffness Kfx/Fz at FzNom
PKX2 = 0.12615 $ variation of slip stiffness Kfx/Fz with load
PKX3 = 0.51289 $ exponent in slip stiffness Kfx/Fz with load
PHX1 = 0 $ horizontal shift Shx at Fznom
PHX2 = 0 $ variation of shift Shx with load
PVX1 = 0 $ vertical shift Svx/Fz at FzNom
PVX2 = 0 $ variation of shift Svx/Fz with load
RBX1 = 18.456 $ slope factor for combined slip Fx reduction
RBX2 = 16.314 $ variation of slope Fx reduction with Kappa
RCX1 = 1.091 $ shape factor for combined slip Fx reduction
REX1 = 0 $ curvature factor of combined Fx
REX2 = 0 $ curvature factor of combined Fx with load
RHX1 = 0.0058715 $ shift factor for combined slip Fx reduction
PTX1 = 1.5 $ relaxation length Sig_Kappa/Fz at FzNom
PTX2 = 0.180096 $ variation of Sig_Kappa/Fz with load
PTX3 = -0.15 $ variation of Sig_Kappa/Fz with exponent of load
$--------------------------------------------------------------------overturning
[OVERTURNING_COEFFICIENTS]
QSX1 = 2.3155e-04 $ lateral force induced overturning couple
QSX2 = 0.51574 $ camber induced overturning couple
QSX3 = 0.046399 $ Fy induced overturning couple
$------------------------------------------------------------------------lateral
[LATERAL_COEFFICIENTS]
PCY1 = 2.1322 $ shape factor Cfy for lateral forces
PDY1 = 1.0283 $ lateral friction Muy at FzNom
PDY2 = -0.16758 $ variation of friction Muy with load
PDY3 = -1.5821 $ variation of friction Muy with squared camber
PEY1 = 0.33443 $ lateral curvature Efy at FzNom
PEY2 = -1.8733 $ variation of curvature Efy with load
PEY3 = -0.13136 $ zero order camber dependency of curvature Efy
PEY4 = -11.677 $ variation of curvature Efy with camber
PKY1 = -20.505 $ maximum value of stiffness Kfy/FzNom
PKY2 = 2.0284 $ load at which Kfy reaches maximum value
PKY3 = 0.89994 $ variation of Kfy/Fznom with camber
PHY1 = 0.0031377 $ horizontal shift Shy at FzNom
PHY2 = 0.00051596 $ variation of shift Shy with load
PHY3 = 0.039251 $ variation of shift Shy with camber
PVY1 = 0.026365 $ vertical shift in Svy/Fz at FzNom
PVY2 = -0.0062119 $ variation of shift Svy/Fz with load
PVY3 = -0.41389 $ variation of shift Svy/Fz with camber
PVY4 = -0.048038 $ variation of shift Svy/Fz with camber and load
RBY1 = 22.003 $ slope factor for combined Fy reduction
RBY2 = -13.623 $ variation of slope Fy reduction with Alpha
RBY3 = -0.0093616 $ shfit term for alpha in slope Fy reduction
RCY1 = 0.98294 $ shape factor for combined Fy reduction
REY1 = 0 $ Curvature factor of combined Fy
REY2 = 0 $ Curvature factor of combined Fy with load
RHY1 = -9.1492e-11 $ shift factor for combined Fy reduction
RHY2 = 0 $ shift factor for combined Fy reduction with load
RVY1 = 22.965 $ kappa induced side force Svyk/Muy*Fz at FzNom
RVY2 = 0.37981 $ variation of Svyk/Muy*Fz with load
RVY3 = 1.8552 $ variation of Svyk/Muy*Fz with camber
RVY4 = 0.08767 $ variation of Svyk/Muy*Fz with alpha
RVY5 = -8.8234e-11 $ variation of Svyk/Muy*Fz with kappa
RVY6 = 0.90374 $ variation of Svyk/Muy*Fz with atan(kappa)
PTY1 = 1.75 $ peak value of relaxation length Sig_Alpha
PTY2 = 1.35 $ shape factor for Sig_alpha
$------------------------------------------------------------------------rolling
[ROLLING_COEFFICIENTS]
QSY1 = 0.01 $ rolling resistance torque coefficient
QSY2 = 0.0 $ rolling resistance torque depending on Fx
QSY3 = 0.0 $ rolling resistance torque depending on speed
QSY4 = 0.0 $ rolling resistance torque depending on speed ^4
$-----------------------------------------------------------------------aligning
[ALIGNING_COEFFICIENTS]
QBZ1 = 19.588 $ trail slope factor for trail Bpt at FzNom
QBZ2 = -4.1671 $ variation of slope Bpt with load
QBZ3 = -0.34132 $ variation of slope Bpt with squared load
QBZ4 = -0.023607 $ variation of slope Bpt with camber
QBZ5 = -0.0793 $ variation of slope Bpt with absolute camber
QBZ9 = -50.0 $ slope factor Br of residual torque Mzr
QBZ10 = 0.000 $ slope factor Br of residual torque Mzr
QCZ1 = 1.2012 $ shape factor Cpt for pneumatic trail
QDZ1 = 0.12819 $ peak trail Dpt'' = Dpt*(Fz/FzNom*R0)
QDZ2 = -0.0052433 $ variation of peak Dpt'' with load
QDZ3 = -0.099544 $ variation of peak Dpt'' with camber
QDZ4 = -15.0 $ variation of peak Dpt'' with squared camber
QDZ6 = 6.2499e-05 $ peak resisual torque Dmr'' = Dmr*(Fz*R0)
QDZ7 = 5.0135e-04 $ variation of peak factor Dmr'' with load
QDZ8 = -0.28564 $ variation of peak factor Dmr'' with camber
QDZ9 = -0.025056 $ variation of peak factor Dmr'' with camber and load
QEZ1 = -0.0044308 $ trail curvature Ept at FzNom
QEZ2 = 0.022579 $ variation of curvature Ept with load
QEZ3 = -0.16199 $ variation of curvature Ept with squared load
QEZ4 = -0.5576 $ variation of curvature Ept with sign of Alpha-t
QEZ5 = -87.296 $ variation of curvature Ept with camber and sign Alpha-t
QHZ1 = 8.2436e-04 $ trail horizontal shift Sht at FzNom
QHZ2 = 0.002733 $ variation of shift Sht with load
QHZ3 = 0.15 $ variation of shift Sht with camber
QHZ4 = 0.11608 $ variation of shift Sht with camber and load
SSZ1 = -5.3899e-10 $ nominal value of s/R0 effect of Fx on Mz
SSZ2 = -2.2371e-09 $ variation of distance s/R0 with Fy/FzNom
SSZ3 = 3.6029e-08 $ variation of distance s/R0 with camber
SSZ4 = 3.9826e-08 $ variation of distance s/R0 with camber and load
QTZ1 = 0.3 $ gyroscopic torque constant
MBELT = 7.5 $ belt mass of wheel
