xiii
Nomenclature
CTD clutch torsional damper
CPGS compound planetary gear set
DMF dual mass flywheel
eCVT electronic continuously variable transmission
TS torsional stiffness
MOI moment of inertia
!
S1
speed of S1, rad/s
!
S2
speed of S2, rad/s
˛
b
pressure angle on the index circle, rad
phase angle, rad
S2
angular displacement of big sun gear, rad
c
angular displacement of carrier, rad
r
angular displacement of ring gear, rad
e
angular displacement of engine, rad
aci
angular displacement of short planet, rad
v
angular displacement of the vehicle, rad
d
angular displacements of the differential, rad
m
angular displacement of the reducer, rad
rw
angular displacements of the right wheels, rad
lw
angular displacements of the left wheels, rad
bci
angular displacement of long planet, rad
!
ring
speed of ring, rad/s
!
c
speed of carrier, rad/s
xiv NOMENCLATURE
!
1
drive wheel angular velocity, rad/s
z
ring
internal tooth number of the ring
z
S1
tooth numbers of S1
z
S2
tooth numbers of S2
˛
1
and ˛
2
stationary gear ratio
T
S1
torque applied on S1, N m
T
S2
torque applied on S2, N m
T
carrier
torque applied on carrier, N m
T
ring
torque applied on ring, N m
T
E1
driving torque of E1, N m
T
E2
driving torque of E2, N m
T
engine
driving torque of ICE, N m
T
L
resistant moment for driving, N m
J
S1
moment of inertia of S1, kg m
2
J
S2
moment of inertia of S2, kg m
2
J
carrier
moment of inertia of carrier, kg m
2
J
ring
moment of inertia of ring, kg m
2
J
e
the moment of inertia of the engine, kg m
2
J
m
moment of inertia of the reducer, kg m
2
J
d
moment of inertia of the differential, kg m
2
J
lw
moment of inertia of the left wheel, kg m
2
J
rw
moment of inertia of the right wheel, kg m
2
I
f 1
the primary flywheels’ rotational inertia, kg m
2
I
f 2
the secondary flywheels’ rotational inertia, kg m
2
I
TCD
original flywheel’s rotational inertia, kg m
2
˛
S1
accelerations of S1, m/s
2
˛
S2
accelerations of S2, m/s
2
NOMENCLATURE xv
˛
carrier
accelerations of carrier, m/s
2
˛
ring
accelerations of ring, m/s
2
P
B
battery power, kW
P
V B
loss power of battery, kW
P
VE1
loss power of E1, kW
P
VE2
loss power of E2, kW
P
c
T
friction loss in the transformation mechanism, kW
a
r
angular acceleration of the ring, rad/s
2
a
c
angular acceleration of the carrier, rad/s
2
ı
Br
deformation of the rectangular part
ı
Bt
amount of bending deformation of the trapezoidal part
ı
S
amount of deformation caused by shear
ı
G
amount of deformation caused by the inclination of the base part
ı
1
the ı value of meshing tooth
ı
2
the ı value of meshing tooth
ı
pv
amount of deformation of the contact surface of the tooth surface
t
oc
synthetic base error of the driving gear and the driven gear
f
p
base section error of the drive gear
f
g
base section error of the driven gear
q
E1
flexibility for engaging gear pairs
t
c
the impact time, s
C the velocity of sound, m/s
k
S2b
the meshing stiffness between big sun gear and long planet, N/m
k
ab
the meshing stiffness between short planet and long planet, N/m
k
S1a
the meshing stiffness between small sun gear and short planet, N/m
k
ar
the meshing stiffness between ring and short planet, N/m
k
1
the tooth stiffness of the drive gears, N/m
xvi NOMENCLATURE
k
2
the tooth stiffness of the driven gears, N/m
k
t
CPG stiffness of the torsional damper, N/m
k
c
CPG stiffness of and the planetary carrier, N/m
k
rm
meshing stiffness between the ring and the reducer, N/m
k
md
meshing stiffness between the reducer and the differential, N/m
k
rh
torsional stiffness of the right half shafts, N/m
k
lh
torsional stiffness of the left half shaft, N/m
k
w
torsional stiffness of the wheel, N/m
K stiffness matrices of 16 order, N/m
k
pspl
mesh stiffness between the long planet and sun gear 2, N/m
k
S1ps
mesh stiffness between the sun gear 1, and short plane, N/m
k
rps
mesh stiffness between the short planet and ring, N/m
k
CTD
CTD’s torsional stiffness, N/m
k
DMF
DMF’s torsional stiffness, N/m
M
a
mass of planet a, kg
M
b
mass of planets b, kg
M mass of 16 order, kg
m
car
vehicle mass, kg
r distance from the point of space to the curvature center of the tooth
profile, mm
a the radius of curvature of the gear meshing impact point, mm
b tooth width, mm
r
g1
basic circle radius of the driving gear, mm
r
g2
equivalent base circle radius of a passive gear, mm
r
short
radius of the long planet’s pitch circle, mm
r
long
radius of the long planet’s pitch circle, mm
r
ca
radius of revolution of the short long planet gears, mm
NOMENCLATURE xvii
r
cb
radius of revolution of the long planet gears, mm
r
r2
base radius of the outer ring, mm
r
w
radius of the wheel, mm
r
ring
radius of ring gear’s the pitch circle, mm
r
wheel
wheel radius, mm
r
m1
and r
m2
base radiuses of reducer gears, mm
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