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Tính toán thiết kế hệ dẫn động hộp giảm tốc hai cấp phân đôi cấp chậm và bộ truyền xích

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z
bQOg)Pi
^R2)P)Q;
Q N
-
x
z z u=
bQO-_N_`bacg)Pit
6
NQM
m
z =
(((>!YP6`!a S5TU`!
^F$%E,#%0#@0),#6
F.O-_;
[ ]

- - -
t z n
p p k k k p= ≤
u
t
p

p

[ ]
p
;=./,*,*=,*1v1

aa_
ct
p p= =
gswi
_
z
k
;x2)P
MN
N N
QO QO
QO
z
z
k
z z
= = =

n
k
;H:2@+,
MN
N
n
n
k
n
=
bQMMhNfN-e`bN-Q_c
;H:21=
M a dc bt d c
k k k k k k k=
M
k
;H:2.((])0),#;
M
k
bNg%.y240
),#6
fM
o

a
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;H:2.(() #,86;
a
k
bNg

beM1i
dc
k
;H:2.((:%#,E"P6z
dc
k
bNg0)%l
%#,E%./i
bt
k
;H:2.((:);
bt
k
bNg).y )%3,
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d
k
bN-Q
c
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;H:2.((%0:;
c
k
bN-QOg:Qi
sbNQ-NQObN-O
 7
- - -

t z n
p p k k k=
baNQ_-NO-
QO
QO
-NQ_cbN_QQgoi
 <"O-O.?6;1b_NaOgi
$?
[ ]
p
bN`_{
t
p
((V(@d!!S^!6\8`!
s) 0beM1bNQaMgi
^>$O-NQ#2A6;
Q Q
N Q Q N
Q h MOg i g i h ge ix a p z z z z p a
π
= + + + −
Q Q
Q-eM MOgQO aci gac QOi -_NaO h ge -NQaMix
π
= + + + −
bN___
7*6bN_eg*2A6|i
^76) ;
( )
{ }

( ) ( )
Q Q
N Q Q Q N
MQO MO MO Q h
z
a p x z z x z z z z
π
= − + + − + − −   
   
bNQcNagi-
!6("P+,?)G?0./
MMMQbQfgi
j5bNQa`gi
R2=%51;
[ ]
N N
h gNO i QOi z n x i= ≤ =
g$?.?6_NaO)i
bQa-NMQchNO-NQQbQ
[ ]
QOi≤ =

((X(@e\\ af!#$`!
F$O-NOgcOi;
[ ]
M
h g i
d t v
s Q k F F F s= + + ≥
U;7)1J)O-Q-UbccOMMgJi

d
k
;H:2)%0!?*);
d
k
bN-ag)%0i
NMMM h
t
F p v=
;"@-
e
N N
h fMMMM QN_fv z pn= =
ghig1.?6i
t
F =
aa_-NMMMhNef`b_fN`gJi
v
F
;x"P8"44);
Q
v
F qv=
b
Q
_c-QN_f
bNa_eegJi
7)%+2./Nv6
M
F

;x"P8)./6]%04)
M
`cN-
F
F k qa=
b`cN-Q-_c-NQaMb`O_aOgJi
7)%
F
k
;H:21 ,0%0}
F
k
bQg)
M
eM
i
<%;bccOMMhgNQ-_fN`u`O_aOuNa_eeibNeN_
7)O-NM
[ ]
s
bc-O
j4{
[ ]
s
6%%#,:#
((g(>!Y!!P6!#$c$`!7h!!^7fS^!
^.y@6
N N
h g h i _NaO h g h QOi QO__Qd p z
π π

= = =
gi
Q Q
h g h i _NaO h g h aci accONd p z
π π
= = =
gi
^s!:%0#%l6>$;O-Ncgcai
[ ]
Mea g i h g i
H r t d vd d H
k F K F E Ak
σ σ
= + ≤
H
σ
;$,*16G1v1C1)O-NN
[ ]
H
σ
bOOM~fOMgC1i
vd
F
^x"%51)v846;
a _
N
N_-NM
vd
F n p m


=
gJi
a _
N_-NM -NfN e`-_NaO -N faQ
vd
F

= =
gJi
d
k
^H:2142%#,)
d
k
bNg6084i
d
K
^H:2)%0
d
K
bNQg%&)i
r
K
^H:26v?".(2)P%l6
r
K
bM-_`f
W^ <,#)O-NQ;WbQfQgi
•^8,%
N Q N Q

Q h g iE E E E E= +
b
O
Q-NM
gC1ig
N
E

Q
E
;C8,%
P)P%li
t
F
b_fN`gJi
7%./
h
σ
bfe`OgC1i
J.5!896)g%0)A#rHmeQ`i
^6%]"8 ) 
7>$O-QMgcci
r x t
F k F=
bNMO-_fN`b_cMMgJi
7)%
x
k
;:2!%)./6
x

k
bNMOg
M M
fM eM>
i
$!ia S5TU`!B
^
N
z
bQOg)Pi
Q
z
bacg)Pi
^6N841b_NaOgi
^6bN_egA6i
^bNQcegi
O
^
N
d
bQO__Qgi
Q
d
baccONgi
^j5:,!896)g%0)A#rHmeQ`i
^
r x t
F k F=
b_cMMgJi
C+<M_E)2H_M+)1&


(V(a S5TUaSb
(V((_ S5TUaSbS^Sbj
W5,
F5:,)P€v1FeO:%0)AQcMHm
b
σ
bcOM
gC1i
ch
σ
bOcMgC1i
F5:,)P?v1FeO.y%0)AQfMHm
b
σ
bcOMgC1i
ch
σ
bOcMgC1i
m-\%]$6,*1v1
a((k65Z`l!!9
7>$f-N
[ ]
( )

h
H H H R v XH HL
s z z k k
σ σ
=

g`Ni
7)%
R v XH
z z k
;=./:2.((%0A#r52
@)
^
xH
k
;H:2.(?.?)P
^70
R v L xH
z z k k
bN
^
H
s
;H:2
H
s
bNN
7;
 
-
o
H H HL
k
σ σ
=
7)f-Qg`ei

N
o
H
σ
bQHmuaMbQ-QcMuaMbf_MgC1i
Q
o
H
σ
bQHmuaMbQ-QfMuaMbO`MgC1i
7>$f-a;F,],)P
hQ
N
fM
mH
i
i
HE i i
i
T
N C n t
T
 
=
 ÷
 

H;
hQ
N

fM- - - -
mH
i
i
HE h i
i
T
n
N l t
p T
 
 
 ÷
=
 ÷
 ÷
 
 

gH;5%.ybfHmt_OMi
72%./%./,],NQ
_ _
N
fM-NNMMM-Q`aM h c_cgN -MeNQO MaQ -MOQOi
HE
N = +
bNOfaO
f
NM
_ _

Q
cMO
fM-NNMMM-eMc_h gN -MeNQO MaQ -MOQOi
Q
HE
N = +
b
f
`aa`-NM
7>$f-O
Qe
_M
HO HB
N H=
j5
NHO
N
b
f
QQeM-NM
f
Q
NcaO-NM
HO
N =
f
7;
N
N
HL

k =

Q
N
HL
k =
g
Q QHE HO
N N>

N NHE HO
N N>
i
72$f-N
7%./;
N
H
σ
 
 
bOaQgC1i
[ ]
QH
σ
bO_fgC1i
j5$,*16G*%!
[ ]
H
σ
bO_fgC1i

a((k65Z5!9
7>$f-Q;
[ ]
( )
M

h
F F f R v XF FL Fc
s y y k k k
σ σ
=
7.",],,2
hQ
N
fM
F
m
i
i
FE i
i
T
N CH n
T
 
=
 ÷
 

M

NF
σ
bNcHmbNc-QcMbOMeg)f-Qi
M
QF
σ
bNc-QfMbefc
7%./
f f
N
fM-NNMMM-Q`Ma h c_cgN -MeNQO MaQ -MOQOi
FE
N = +
b
f
NNN-NM
f f
Q
c-MO
fM-NNMMM-eMc_h gN -MeNQO MaQ -MOQOi
Q
FE
N = +
b
f
_QO-NM
7;
^
N
N

FL
k =

Q
N
HL
k =
g
f
Q N
 e-NM
FE FE Fo
N N N> =
i
^H:2
F
s
bNaOg)f-Qi
^F0
N
R v xH
y y k =
72%./;
N
F
σ
 
 
bQccgC1i
[ ]

QF
σ
bQfae_gC1i
j5*
[ ]
F
σ
bQfae_gC1i%!
a(V:65Z!9m5d
u•,*16G+,>$fN_;
[ ]
6
Qc
H ch
m
σ σ
=
g?)P.yri
7%./
[ ]
6N
H
m
σ
bQc-OcMbNfQegC1i
[ ]
6Q
H
m
σ

bQc-OcMbNfQegC1i
u•,*,2+,>$f-Ne;
[ ]
6
M-c
F ch
m
σ σ
=
gv1%0$Hmt_OMi
J.5
[ ]
6N
F
m
σ
bMc-OcMbefegC1i
[ ]
6Q
F
m
σ
bMc-OcMbefegC1i
F->!Y!!6!"ad!#$a S5TU
7>$gf-NO^`fi#) 
W
a
[ ]
N
_

N
Q
-
g Ni
H
W a
H ba
T k
a k u
u
β
σ ψ
= ±
a
7)%
a
k

d
k
:21 ,05:,)P3)Pf-O
a
k
be`Og
Nh_
MPa
i
d
k
baag

Nh_
MPa
i
N
T
^C>6)) %0;
N
T
bQaO_MgJ-i
,;7E2),#,bO_N
[ ]
H
σ
bO_fgC1i
ba
ψ
)f-fGe
ba
ψ
bM-eac
MO_ g Ni
bd ba
u
ψ ψ
= +
bNf
H
k
β
;H:251),))f-a

H
k
β
bNNO
72%./;
NW
a
bNM`-a
4(>!Y!!P6bn
(>!Y\P5
N
gMMN MMQi
W
m a= ÷
bg
NM` QNc÷
igi
x*bN-Ogi
(>!Y6Sb6Y!!R
$(>!Y6Sb
7>$f-N`
( )
N
Q h N
W
z a m u= + 
 
bQ_Nc
x*
N

z
bQ_g)Pi
Q N
-z u z=
bQ_-O_NbNQQN_
x*
Q
z
bNQQg)Pi
^73) 
( )
N Q
o
-
Q
m z z
a
+
= =
NMcaOgi
F
w
a
bNM`gi
a(6Y!!R
H:28]4;
N Q
h MOg i
w
y a m z z= − +

bM-Nfag>$f-QQi
H:2;
NMMM h
y t
k y z=
bN-NOg>$f-Q_i
7>f-NM)%./
x
k
bMMNQO
H:2%E)P;
- hNMMM
x t
y k z∆ =
bMMQa-NNehNMMMbMMMNc
7‚:28]E;
t
x y y= + ∆
bMNfc
[ ]
N Q N
M-O g i h
t t
x x z z y z= − −
bMM_
Q Nt
x x x= −
bMN_c
m‚
72 s+, 72 s+,

s) 
w
a
bNM`
H:28]E
N
x
bM-M_
Q
x
bM-N_c
c
C8, bN-O .y@
N
d
b_e-O
Q
d
bNc_
F#,)0)P
w
b
bOQN
.yP
Nw
d
b_e-OO
Qw
d
bNc_ef

7E2),# ,bO_N .y%E)P
Na
d
b_a-Oc
Qa
d
bNcf-e
R2)P)P
N
z
bQ_
Q
z
bNQQ
.y%)P
Nf
d
b_M-ce
Qf
d
bNa`ff
K(@e\f\SbU aU`l!
•,*16G6,*)r)P6%]>$
f-__;
( )
( )
[ ]
Q
N N
Q N h

H M H H w w H
z z z T k u b ud
ε
σ σ
= + ≤
M
z
^H:2!%)PP?1)f-Og`fi
M
z
bQaeg
Nh_
MPa
i
H
z
^H:2!%83#r16G$f-_e
Q h  Q
H b tw
z a
β
=
bN-ff
j?
b
β

tw
a
%./>$)f-NN

tw
a
b
M M
QM _Q

b
β
bM
β
ε
^H:2)9?18>$f-_a
h g i
w
b m
β
ε π
=
bOQNhQO-_NebNNMf
g
w
b
b
w ba
a
ψ
;F#,)0)Pi
<
β
ε

{N
z
ε
%./>$f-_f;
Nhz
ε α
ε
=
α
ε
;7>$=%Gf-_c%./
α
ε
bNf_ag:2)9?1i
7%./
Nhz
ε α
ε
=
bMac
H
k
^H:2)#16G
7>$f-_`
- -
H H H Hv
k k k k
β α
=
7%

Hv
k
>$f-eN
N
N
N
Q
H w w
Hv
H H
v b d
k
T k k
β α
= +
Nw
d
b_eOOgi
H
v
^7>$f-eQ
M
h
H H w
v g v a u
δ
=
b`Qg
H
δ

bMMMf)f-NO
M
g
bOf;)f-Nf
N N
h fMMMM
w
v d n
π
=
bfc`ghi
72%./
Hv
k
bN_a
H
k
bNeQO
Q
Qae-Nff-Mac Q-_fN_a-NOa`-cNQ h ac-aNQ-_ceQe
H
σ
=
beMMgC1h
Q
m
it
[ ]
H
σ

`
oe\e\SbU aU5
7>$f-e_f-ee
( )
[ ]
N N N N N
Q h
F F F w w F
T k y y y b d m
ε β
σ σ
= ≤
[ ]
Q N Q N Q
h
F F F F F
y y
σ σ σ
= ≤
7)%;
Nhy
ε α
ε
=
bMfN
y
β
bNg:2!%%0)P(%4
β
bMi

NF
y

QF
y
g:283)PNQ)f-Nci
NF
y
b_aO
QF
y
b_fO
F
k
^:2)#,2;
F F F Fv
k k k k
β α
=
g$f-eOi
N
N
N
Q
F w w
Fv
F F
v b d
k
T k k

β α
= +
g$f-efi
M
h
F F w
v g v a u
δ
=
b
MMNf-ea-OcO NM` h O_N
bQeOeg
F
δ
)f-Nfi
72f-ef%./
Fv
k
bNfOb{
F
k
bQOc
7f-e_%./
NF
σ
bOf`_gC1h
Q
m
i
[ ]

NF
σ

QF
σ
bOOeNgC1h
Q
m
i
[ ]
QF
σ

&(@e\\ aUUm5d
g7)%
6
h NOO
qt m
k T T= =
i
7>f-__%&%./
eMM
H
σ
=
i
7>gf-eci
6
- eMM- NOO
H H qt

k
σ σ
= =
be`cgC1it
[ ]
6
H
m
σ
bNfQegC1i
g
[ ]
6
Qc
H ch
m
σ σ
=
bQc-_eMbNfQegC1ii
7>gf-e`i
6
-
F F qt
k
σ σ
=
6N N
-
F F qt
k

σ σ
=
bOf`_
NOO
baMcagC1it
[ ]
N
6N
Mc
F ch
m
σ σ
=
bMc-OcMbefegC1i
6 Q Q
-
F F qt
k
σ σ
=
bOOeN
NOO
baMgC1it
[ ]
Q
6Q
Mc
F ch
m
σ σ

=
bMc-OcMbefegC1i
(V((_ S5TUaSbS^Sbf
W5,
F5:,)P€v1FeO:%0)AN`MHm
b
σ
baOM
gC1i
ch
σ
beOMgC1i
F5:,)P?v1FeO.y%0)ANaMHm
b
σ
bfMMgC1i
ch
σ
b_eMgC1i
_(>!Yk`5Z!9
a((k65Z`l!!9
7>$f-N
[ ]
( )

h
H H H R v XH HL
s z z k k
σ σ
=

g`Ni
7)%
R v XH
z z k
;=./:2.((%0A#r52
@)
NM
^
xH
k
;H:2.(?.?)P
^70
R v L xH
z z k k
bN
^
H
s
;H:2
H
s
bNN
7;
 
-
o
H H HL
k
σ σ
=

7)f-Qg`ei
N
o
H
σ
bQHmuaMbQ-N`MuaMbeOMgC1i
Q
o
H
σ
bQHmuaMbQ-NaMuaMbeNMgC1i
7>$f-a;F,],)P
hQ
N
fM
mH
i
i
HE i i
i
T
N C n t
T
 
=
 ÷
 

H;
hQ

N
fM- - - -
mH
i
i
HE h i
i
T
n
N l t
p T
 
 
 ÷
=
 ÷
 ÷
 
 

gH;5%.ybfHmt_OMi
72%./%./,],NQ
_ _
N
cMO
fM-NNMMM-eMc_ h gN -MeNQO MaQ -MOQOi
Q
HE
N = +
beOce

f
NM
_ _
Q
fM-NNMMM-NMQc h _cfOgN -MeNQO MaQ -MOQOi
HE
N = +
b
f
NQ-NM
7>$f-O
Qe
_M
HO HB
N H=
j5
NHO
N
b
f
NOea-NM
f
Q
`-``-NM
HO
N =
7;
N
N
HL

k =

Q
N
HL
k =
g
Q QHE HL
N k>

N NHE HL
N k>
i
72$f-N
7%./;
N
H
σ
 
 
beM`gC1i
[ ]
QH
σ
b_a_gC1i
j5$,*16G*%!
[ ]
H
σ
b

[ ]
N
Q
Q
H H
σ σ
 
+
 
b_`NgC1i
a((k65Z5!9
7>$f-Q;
[ ]
( )
M

h
F F f R v XF FL Fc
s y y k k k
σ σ
=
7.",],,2
hQ
N
fM
F
m
i
i
FE i

i
T
N CH n
T
 
=
 ÷
 

M
NF
σ
bNcHmbNc-N`Mb_eQg)f-Qi
M
QF
σ
bNc-NaMb_Mf
7%./
f f
N
c-MO
fM-NNMMM-eMc_ h gN -MeNQO MaQ -MOQOi
Q
FE
N = +
b
f
eOce-NM
f f
Q

aa_
fM-NNMMM-NMQc h gN -MeNQO MaQ -MOQOi
Q
FE
N = +
b
f
NQ-NM
NN
7;
^
N
N
FL
k =

Q
N
HL
k =
g
f
Q N
 e-NM
FE FE Fo
N N N> =
i
^H:2
F
s

bNaOg)f-Qi
^F0
N
R v xH
y y k =
72%./;
N
F
σ
 
 
bN`OegC1i
[ ]
QF
σ
bNaecgC1i
j5*
[ ]
F
σ
bNae-cgC1i%!
a(V:65Z!9m5d
u•,*16G+,>$fN_;
[ ]
6
Qc
H ch
m
σ σ
=

g?)P.yri
7%./
[ ]
6N
H
m
σ
bQc-eOMbNQfMgC1i
[ ]
6Q
H
m
σ
bQc-_eMb`OQgC1i
u•,*,2+,>$f-Ne;
[ ]
6
Mc
F ch
m
σ σ
=
gv1%0$Hmt_OMi
J.5
[ ]
6N
F
m
σ
bMc-eOMb_fMgC1i

[ ]
6Q
F
m
σ
bMc-_eMbQaQgC1i
F->!Y!!6!"ad!#$a S5TU
7>$gf-NO^`fi#) 
NW
a
[ ]
N
_
N
Q
-
g Ni
H
W a
H ba
T k
a k u
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LL
,;7E2),#,b__`
[ ]
H
σ
b_`NgC1i
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N Q oN
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*:28]E;
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•,*16G6,*)r)P6%]>$
f-__;
( )
( )
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N N
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H M H H w w H
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^H:2!%)PP?1)f-Og`fi
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>,,†i
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;F#,)0)Pi
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[ ]
N Q
Ncc _QgNh Nh i z z c
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bNff`
7%./
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7>$f-_`
- -
H H H Hv
k k k k
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N
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H w w
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k
T k k
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π
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72%./
Hv
k
bNMNe
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H
σ
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beNfgC1h
Q
m
it
[ ]
H
σ

oe\e\SbU aU5
7>$f-e_f-ee
( )
[ ]
N N N N N
Q h
F F F w w F
T k y y y b d m
ε β
σ σ
= ≤
[ ]
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h
F F F F F
y y
σ σ σ
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Nhy
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y
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NF
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F
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F F F Fv
k k k k
β α
=
g$f-eOi
N
N
N
Q
F w w
Fv
F F
v b d
k
T k k
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M
h
F F w
v g v a u
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72f-ef%./
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NF
σ
bOQ`_gC1h
Q
m
i
[ ]

NF
σ

QF
σ
bOM_cgC1h
Q
m
i
[ ]
QF
σ

&(@e\\ aUUm5d
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h NOO
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k T T= =
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6
- _`N- NOO
H H qt
k

σ σ
= =
becfa`gC1it
[ ]
6
H
m
σ
b`OQgC1i
g
[ ]
6
Qc
H ch
m
σ σ
=
bQc-_eMb`OQgC1ii
7>gf-e`i
6
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F F qt
k
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F F qt
k

σ σ
=
bOQ`_
NOO
bfOc`gC1it
[ ]
N
6N
Mc
F ch
m
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6 Q Q
-
F F qt
k
σ σ
=
bOM_c
NOO
bfQaQgC1it
[ ]
Q
6Q
Mc
F ch
m
σ σ

=
bMc-_eMbQaQgC1i
m‚
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s) 
w
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H:28]E
N
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N
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bfaOQ
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b
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.y%E)P
Na
d
ba_-fc

Qa
d
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Nf
d
bfaOQ
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d
bQQO-_
R2)P)P
N
z
bQQ
Q
z
baO
β
b
M
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
0BC+<M+q)N,

(X(S^!
(X((,O75
<) :)%#,:)),5v1
eO:
b
σ

bcOM
ch
σ
bOcMgC1i
(X((S^!U aU
NO
F
r4
F
a4
F
t4
F
t6
F
r6
F
a6
F
t3
F
t5
F
a5
F
r5
F
t1
F
r1

F
a3
F
r3
F
r2
F
t2
III
II
I
4
6
3
2
5
1
M
F
x
F
y
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F#,4,)&>;)) 
LN
begi
)Š
LQ
bQcgi
.>!YU5aU;18 $`-Ng77^7sH<Fsi
j?
[ ]
d
σ
$,*8511v1;)`-Og77^7sH<Fsi
[ ]
NMM
d
σ
=
gCSi

( )
[ ]
N
Q-
- -

I
d d
tI I I
T
d l h t
σ σ
= ≤

bNMMgCSi
u738:<^<
j?
LN
bgMc~M`i-

bgMc~M`i-eMb_Q~_f
LN
b_egi


d
σ
b
Q-QaO_M
QO-_e-ga ei−
bQNO`


[ ]
d
σ

bNMMgCSig7€&%#,:i
u738:m^m
j?
LQ
bgMc~M`i-
NQ
bgMc~M`i-e`b_`_~eeN
LQ
beMgi


d
σ
b
Q-QaO_M
Qc-eM-ga ei−
bNf


[ ]
d
σ
bNMMgCSig7€&%#,:i

.>!YU5aU!8;18 $`-Qg77^7sH<Fsi
QN
[ ]
c
τ
$,*A1v1

[ ]
QM _M
c
τ
=
gCSi
[ ]
Q-
- -
I
c c
tI I
T
d l b
τ τ
= ≤
u738:<^<
N
N N
Q-
Q-QaO_M
- - QO-_e-c
C
D tI I
T
d l b
τ
= =
bcNgCSi
[ ]

C
τ

bQM~_MgCSi
g7€&%#,:i
u738:m^m
N
N Q
Q-
Q-QaO_M
- - Qc-eM-c
C
C tI I
T
d l b
τ
= =
bfNegCSi
[ ]
C
τ

bQM~_MgCSi
g7€&%#,:i
.@e\\S^!U aU\vB
s*,) ˆ%%./%0#€,:23
8:,!€&%#,:,;
[ ]
Q Q
-

j j
j
j j
s s
s s
s s
σ τ
σ τ
= ≥
+
7)%;

[ ]
s
^:21v1.y
[ ]
S
bQ-O~_

j
s
σ
^:2E6v)$,*1138:;
N
‹
- -
j
dj mj
s
K

σ
σ σ
σ
σ ψ σ

=
+
N
σ

^?3€,2?,%26$-j5:,v13) %=,
v1eO85
b
σσ
-e_fM
N
=

bMe_f-cOMb_aNgCSi

aj mj
σ σ
^%0)]2),$,*1138:‹
2?) +,$,*,2%‚>,%26$8%;
M
mj
σ
=

j

aj
j
M
W
σ
=
j
M
^7‚>,238:‹-
j
W
^C>,238:‹) -
( )
Q
_
N N
-
_Q Q
j
j
j
j
bt d t
d
W
d
π

= −


j
s
τ
^:2E6v)$,*138:‹;
N
‹
- -
j
dj mj
s
K
τ
τ τ
τ
τ ψ τ

=
+
N
τ

^?3€,2?,%26$-j5:,v13) %=,
v1eO85
N
-OcM

=
στ
bMOc-_aNbQNO


aj mj
τ τ
^%0)]2),$,*138:‹;
QQ
s) +,N#,$,*6A%‚>,3%0;
Q-
j
mj aj
oj
T
W
τ τ
= =
j
T
^C>6A38:‹-
oj
W
^>6A38:‹
( )
Q
_
N N
-
Nf Q
j
j
oj
j
bt d t

d
W
d
π

= −
7>!,%$,**)) LQ])51),#,$,**;
m^m
.u\z!8 _ ._ B
F$,*,2;
C
C
Ca
W
M
N
N
N
=
σ
Q
N
Q
NN CYCXC
MMM +=
b
Q Q
_eOfe ``NQa+
bNMeccQgJi
C

CIIC
C
d
tdtbd
W
N
Q
NNN
_
N
N
-Q
i-g-
_Q
- −
−=
π
b
_ Q
_Ne-Qc c-e-gQc ei
_Q Q-Qc


bQOQeg
_
i
N
NMeccQ
QOQe
a C

σ
⇒ =
beNOOgCSi
F$,*1;
Co
I
CaCm
W
T
N
NN
-Q
==
ττ
C
ICIIC
Co
d
tdtbd
W
N
Q
NNN
_
N
N
-Q
i-g-
Nf
- −

−=
π
b
_ Q
_Ne-Qc c-e-gQc ei
Nf Q-Qc


b_`ac-`g
_
i


Co
I
CaCm
W
T
N
NN
-Q
==
ττ
b
QaO_M
Q-_ca``
b_eOgCSi

N
x

dj
y
K
K
K
K
σ
σ
σ
ε
+ −
=

N
x
dj
y
K
K
K
K
τ
τ
τ
ε
+ −
=
x
K
^:251),$,*8)3#r1 ,01.11

%0|#r;)NM-cg77^7sH<Fsi-
^<91.11:?YbQO~-Mf_
NN=⇒
X
K
y
K
^:2P#r) 1 0P#r5:,-
^<„8 1.11P#r85;
y
K
bN
7)NM-NQg77Œ7sH<Fsi;
^R„8 1.11>ƒ81
cOM
b
σ
=
gCSi
Q_

MNQ=⇒
σ
K

ccN=
τ
K
^7)]2.?


σ τ
ε ε
>NM-NMg77^7sH<Fsi-

Mca
α
ε
=

Mc
τ
ε
=
<5;

Y
X
Cd
K
K
K
K
N
N
−+
=
α
α
α
ε

b
QMN
NN N
Mca
N
+ −
bQeN

Y
X
Cd
K
K
K
K
N
N
−+
=
τ
τ
τ
ε
b
Ncc
NN N
Mc
N
+ −
bQeO

^7)NM-ag77^7sH<Fsi
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