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Mcaniquedes structures

Tome 3

Thermique des structuresDynamique des structures

Serge LAROZE

CPADUS-DITIONS





Tome 3


Serge LAROZE

CPADUS-DITIONS





Tome 3


Serge LAROZE

CPADUS-DITIONS





Tome 3


Serge LAROZE

CEPAD 2005 ISBN : 2.85428.714.2

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Dpt lgal : septembre 2005 N diteur : 714

CEPAD 2005 ISBN : 2.85428.714.2




CHEZ LE MME DITEUR

Le GRAFCET ...............................................................................................................................................ADEPA/AFCETOptimisations en fabrication ............................................................................................................................. Agullo M.Robustesse et commande optimale ......................................................................................................... Alazard D. et al.Cours de mcanique gnrale ...............................................................................................................................Bellet D.Problmes de mcanique rationnelle ...................................................................................................................Bellet D.Problmes de mcanique des solides ....................................................................................................................Bellet D.Problmes dlasticit ............................................................................................................................................Bellet D.Cours dlasticit ................................................................................................................................Bellet D., Barrau J.-J.Comprendre, matriser et appliquer le GRAFCET .......................................................................................Blanchard M.Tables de dtente ou compression isentropique de choc m = 1,400 ...............................................Bonnet A., Luneau J.Vous avez dit Rsistance des matriaux ? Quen savez-vous ? ..................................................Boudet R., Stephan P.Que faut-il savoir en mcanique ? .....................................................................................................Boudet R., Sudre M.La stratgie productique ............................................................................................. Brzakowski S., Delamalmaison R.Produits et analyse de la valeur ..................................................................................................................... Chevallier J.Conduite et gestion de projets ...............................................................................................Chvidchenko I., Chevallier J.Elasticit linaire .................................................................................................................................................Dartus D.Prcis de rsistance des matriaux .................................................................................................................. Datas J.-M.7 facettes du GRAFCET .............................................................................................................................Gendreau et al.Introduction la dynamique des structures .................................................................................................. Gourinat Y.Le GRAFCET : de nouveaux concepts .....................................................................................................GREPA (ADEPA)Concepts et outils pour les systmes de production .............................................................................. Hennet J.-C. et al.Optimisation des vibrations des structures mcaniques ............................................................................Marcelin J.-L..Conception optimale des engrenages cylindriques ....................................................................................Marcelin J.-L..Mcanique lastoplastique de la rupture ...................................................................................................... Pluvinage G.120 exercices de Mcanique lastoplastique de la rupture ........................................................................... Pluvinage GLa rupture du bois et de ses composites ....................................................................................................... Pluvinage G..Fuite et rupture des tubes endommags .............................................................................. Pluvinage G.., Sapunov V.-T.Ingnierie & Ergonomie ...........................................................................................Pomian J.-L., Pradre T., Gaillard I.Leons sur les grandes dformations ................................................................................................................Souchet R.Les Nouvelles rationalisations de la production .................................................................de Terssac G., Dubois P. et al.

CEPAD 2005 ISBN : 2.85428.714.2




CHEZ LE MME DITEUR


CEPAD 2005 ISBN : 2.85428.714.2




CHEZ LE MME DITEUR


Chez le mme diteurSolides Elastiques / Plaques et Coques / Exercices Barrau J-J, Laroze S

Tourbillons Instabilit Dcollement Bguier Cl et al

Les Milieux continus multiphysiques Borghi R

Thermo-mcanique et modlisation par systmes Borghi R

Introduction la Dynamique des Gaz Ractifs Brun R

L Art de la formule expliqu aux scientifiques Bruneau M, Potel C

Turbulence en Mcanique des Fluides Chassaing P

Mcanique des Fluides Chassaing PCombustion dans les moteurs fuses CNES

Maths/Mca. Que Savez-vous de l'Outil Mathmatique? 6 fascicules Collectif

Prcis de Rsistance des Matriaux Datas J-M

Vibration des structures par analyse modale. Test modal et identification modale Diaby M'P

Introduction la Dynamique des Structures Gourinat Y

Mcanique Gnrale Laroze S

Thermique et Dynamique des Structures Laroze S

Poutres Laroze S

Solides Elastiques / Plaques et Coques Laroze S

Thermique et Dynamique des Structures / Exercices Laroze S, Lorrain M

Poutres / Exercices Laroze S, Lorrain M

Calculs thermomcaniques des structures par les lments finis Marcelin J-L

Optimisation des Structures et d'lments Mcaniques Marcelin J-L

Optimisation des Vibrations des Structures Mcaniques Marcelin J-L

Conception optimale des Engrenages Cylindriques Marcelin J-L

Fuite et Rupture des Tubes endommags Pluvinage G

120 exercices de Mcanique lastoplastique Pluvinage G

La Rupture du Bois et Composites Pluvinage G

Mcanique lastoplastique de la Rupture Pluvinage G

Prvision statistique de la rsistance Pluvinage G, Sapunov VT

Rsistance des Matriaux Pluvinage G, Sapunov VT

Principes et applications de Mcanique Analytique Potel C

Leons sur les Grandes Dformations Souchet R

Des Ondes et des Fluides Thual O

Introduction la Mcanique des Milieux Continus Dformables Thual O

Contrle des Dcollements - Optimisation des performances et nouveaux actionneurs, GDR 2502 Collectif

Contrle des dcollements - du dveloppement des actionneurs l'amlioration des performances, GDR 2502 Collectif

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!"# $%$##&'%$ "#

/($ ) '

' ) E # '# ( #$

"#"-

)

=

=

E$-

= $ +=

' )) = = -

)

)

$

=

)

))

$

$ $

=

- 31 -

!"# $%$##&'%$ "#

/($ ) '

' ) E # '# ( #$

"#"-

)

=

=

E$-

= $ +=

' )) = = -

)

)

$

=

)

))

$

$ $

=

- 31 -

!"# $%$##&'%$ "#

/($ ) '

' ) E # '# ( #$

"#"-

)

=

=

E$-

= $ +=

' )) = = -

)

)

$

=

)

))

$

$ $

=

- 31 -

!"# $%$##&'%$ "#

/($ ) '

' ) E # '# ( #$

"#"-

)

=

=

E$-

= $ +=

' )) = = -

)

)

$

=

)

))

$

$ $

=

- 31 -

==P ( )

=P

!

=

= "

' ) ' )

E#'#P #

"#"#-

)

=

=

E$-

=

=

' )) = = -

( ))

))

=

)

))

=

'##-

==P

- ( )))

)

=P

#'-

)

))

)

=

=

P

- 32 -

==P ( )

=P

!

=

= "

' ) ' )

E#'#P #

"#"#-

)

=

=

E$-

=

=

' )) = = -

( ))

))

=

)

))

=

'##-

==P

- ( )))

)

=P

#'-

)

))

)

=

=

P

- 32 -

==P ( )

=P

!

=

= "

' ) ' )

E#'#P #

"#"#-

)

=

=

E$-

=

=

' )) = = -

( ))

))

=

)

))

=

'##-

==P

- ( )))

)

=P

#'-

)

))

)

=

=

P

- 32 -

==P ( )

=P

!

=

= "

' ) ' )

E#'#P #

"#"#-

)

=

=

E$-

=

=

' )) = = -

( ))

))

=

)

))

=

'##-

==P

- ( )))

)

=P

#'-

)

))

)

=

=

P

- 32 -

=

= =

E ! " ( " # "#!

$ " E

"(*"'#'

=

- 8 "( ' J

(($' *"

=

E

= 2 = 2 ==

G

E ! #! #$! 7 J ' E

J +$ ##!#-G

8"(#

"#'

(( 7 $

7 "2"-

=

=

2 =

GCG"!

- 34 -

E ! #! #$! 7 J ' E

J +$ ##!#-G

8"(#

"#'

(( 7 $

7 "2"-

=

=

2 =

GCG"!

- 34 -

E ! #! #$! 7 J ' E

J +$ ##!#-G

8"(#

"#'

(( 7 $

7 "2"-

=

=

2 =

GCG"!

- 34 -

E ! #! #$! 7 J ' E

J +$ ##!#-G

8"(#

"#'

(( 7 $

7 "2"-

=

=

2 =

GCG"!

- 34 -

! "#$%&' ( )

*!&&+,-!,

# D ./,

0 12'' 13 .

- 35 -

! "#$%&' ( )

*!&&+,-!,

# D ./,

0 12'' 13 .

- 35 -

! "#$%&' ( )

*!&&+,-!,

# D ./,

0 12'' 13 .

- 35 -

! "#$%&' ( )

*!&&+,-!,

# D ./,

0 12'' 13 .

- 35 -

+++ D D

! ! " ###$!%"& "$ '())*

' + ++, ' - & ', . # $# $#$ / ) / + D ! D ,'0

'1

' + . ' 0

&&2

+=E

3 + ' ! + , &,'+0 = E

&&&+'$' ' '$

[ ] . $ { }$6. .

=

' ,

=+

D '

D'$ D

&

- 36 -

+++ D D

! ! " ###$!%"& "$ '())*

' + ++, ' - & ', . # $# $#$ / ) / + D ! D ,'0

'1

' + . ' 0

&&2

+=E

3 + ' ! + , &,'+0 = E

&&&+'$' ' '$

[ ] . $ { }$6. .

=

' ,

=+

D '

D'$ D

&

- 36 -

+++ D D

! ! " ###$!%"& "$ '())*

' + ++, ' - & ', . # $# $#$ / ) / + D ! D ,'0

'1

' + . ' 0

&&2

+=E

3 + ' ! + , &,'+0 = E

&&&+'$' ' '$

[ ] . $ { }$6. .

=

' ,

=+

D '

D'$ D

&

- 36 -

+++ D D

! ! " ###$!%"& "$ '())*

' + ++, ' - & ', . # $# $#$ / ) / + D ! D ,'0

'1

' + . ' 0

&&2

+=E

3 + ' ! + , &,'+0 = E

&&&+'$' ' '$

[ ] . $ { }$6. .

=

' ,

=+

D '

D'$ D

&

- 36 -

. $ $$,

7&&&& 33 = ,

&77

8

+=E E+= 9&

,

0 =7 :0 = .

$7 ,

( )( )+

=988

7 ( )+== 89

7;

=;

E +&

!"#

3 ' 3

( )33

( )[ ]338 +

3 E

( )&33 =E

'9?*&&&@A&

- 37 -

. $ $$,

7&&&& 33 = ,

&77

8

+=E E+= 9&

,

0 =7 :0 = .

$7 ,

( )( )+

=988

7 ( )+== 89

7;

=;

E +&

!"#

3 ' 3

( )33

( )[ ]338 +

3

( )

=

D

( )

=

. ,

0 1 1 =E 1 = 13

0 => E +3

1 13 3 E

3 E== 1 +1 EE==

.1''3

7 1 ' 13 '3 1=E ' ( )33 1 =E

7 ' ( ' E $ '

BC 77

8

+

D1',

( )

+

+=E

- 38 -

( )

=

D

( )

=

. ,

0 1 1 =E 1 = 13

0 => E +3

1 13 3 E

3 E== 1 +1 EE==

.1''3

7 1 ' 13 '3 1=E ' ( )33 1 =E

7 ' ( ' E $ '

BC 77

8

+

D1',

( )

+

+=E

- 38 -

( )

=

D

( )

=

. ,

0 1 1 =E 1 = 13

0 => E +3

1 13 3 E

3 E== 1 +1 EE==

.1''3

7 1 ' 13 '3 1=E ' ( )33 1 =E

7 ' ( ' E $ '

BC 77

8

+

D1',

( )

+

+=E

- 38 -

( )

=

D

( )

=

. ,

0 1 1 =E 1 = 13

0 => E +3

1 13 3 E

3 E== 1 +1 EE==

.1''3

7 1 ' 13 '3 1=E ' ( )33 1 =E

7 ' ( ' E $ '

BC 77

8

+

D1',

( )

+

+=E

- 38 -

E

! "

#$%&'()

% ( )*+,* -+= E &,(

%

=+=,'

!,+ &.(

E $%

( )[ ]-+ = ( )-+

+= &(

)&(! & + (%%"

/ $01 ) % ,'-2 3 . &4'5-6( 7$8--6% 9 83 $3%':-2%',--6%':--6"

/

) % 3 ). % -,; 8 ,-6 %

) -, % 5-6 9"

&'($

( ) ( )

( ) ( )

( ) ( )

++=

++=

++=

-)

E

!

"#$ %&'(

))* +=E $+%$& , = E %

-&

=+

0BC,

( )

8+

+=E @

' GE

H ,

=+ +

I + BC! =

+=E E!,

+=++ J

( $ $

EBC!

K$$K$

- 40 -

E

!

"#$ %&'(

))* +=E $+%$& , = E %

-&

=+

0BC,

( )

8+

+=E @

' GE

H ,

=+ +

I + BC! =

+=E E!,

+=++ J

( $ $

EBC!

K$$K$

- 40 -

E

!

"#$ %&'(

))* +=E $+%$& , = E %

-&

=+

0BC,

( )

8+

+=E @

' GE

H ,

=+ +

I + BC! =

+=E E!,

+=++ J

( $ $

EBC!

K$$K$

- 40 -

E

!

"#$ %&'(

))* +=E $+%$& , = E %

-&

=+

0BC,

( )

8+

+=E @

' GE

H ,

=+ +

I + BC! =

+=E E!,

+=++ J

( $ $

EBC!

K$$K$

- 40 -

!

+

'

, =

J!$,

+

+= @

!J@

*)$,

$L

$L +=

2 L 2 L = L

2 L =

E($ L L +

*

$ $ @,

+=+ M

)'J,

E$ E @ @ H , EE = $ BC!+

= N!,

+=

++

+

+

+

+

+

A

- 41 -

!

+

'

, =

J!$,

+

+= @

!J@

*)$,

$L

$L +=

2 L 2 L = L

2 L =

E($ L L +

*

$ $ @,

+=+ M

)'J,

E$ E @ @ H , EE = $ BC!+

= N!,

+=

++

+

+

+

+

+

A

- 41 -

!

+

'

, =

J!$,

+

+= @

!J@

*)$,

$L

$L +=

2 L 2 L = L

2 L =

E($ L L +

*

$ $ @,

+=+ M

)'J,

E$ E @ @ H , EE = $ BC!+

= N!,

+=

++

+

+

+

+

+

A

- 41 -

!

+

'

, =

J!$,

+

+= @

!J@

*)$,

$L

$L +=

2 L 2 L = L

2 L =

E($ L L +

*

$ $ @,

+=+ M

)'J,

E$ E @ @ H , EE = $ BC!+

= N!,

+=

++

+

+

+

+

+

A

- 41 -

!" #

$$ %

" & '(

'(" " ) " )*

+ !" '((

',-.'/

&012

00

+

=

1

!N! $ $E$

.'($

7

!@@

,

0 !@

.... +=E 0 !

- 42 -

!" #

$$ %

" & '(

'(" " ) " )*

+ !" '((

',-.'/

&012

00

+

=

1

!N! $ $E$

.'($

7

!@@

,

0 !@

.... +=E 0 !

- 42 -

!" #

$$ %

" & '(

'(" " ) " )*

+ !" '((

',-.'/

&012

00

+

=

1

!N! $ $E$

.'($

7

!@@

,

0 !@

.... +=E 0 !

- 42 -

!" #

$$ %

" & '(

'(" " ) " )*

+ !" '((

',-.'/

&012

00

+

=

1

!N! $ $E$

.'($

7

!@@

,

0 !@

.... +=E 0 !

- 42 -

4 ',5.6

=+

0 BC!@

&33I& += E &33&8

+

+

=E

0 $

$O' =

E &33 =E .,

+=

+=

+=

33

33

P$33

..

2

P

$ { }$

$!!

)Q

' $33 +++=

A', 3 = ''$3,

=

=

==

83

3. .

- 43 -

4 ',5.6

=+

0 BC!@

&33I& += E &33&8

+

+

=E

0 $

$O' =

E &33 =E .,

+=

+=

+=

33

33

P$33

..

2

P

$ { }$

$!!

)Q

' $33 +++=

A', 3 = ''$3,

=

=

==

83

3. .

- 43 -

4 ',5.6

=+

0 BC!@

&33I& += E &33&8

+

+

=E

0 $

$O' =

E &33 =E .,

+=

+=

+=

33

33

P$33

..

2

P

$ { }$

$!!

)Q

' $33 +++=

A', 3 = ''$3,

=

=

==

83

3. .

- 43 -

4 ',5.6

=+

0 BC!@

&33I& += E &33&8

+

+

=E

0 $

$O' =

E &33 =E .,

+=

+=

+=

33

33

P$33

..

2

P

$ { }$

$!!

)Q

' $33 +++=

A', 3 = ''$3,

=

=

==

83

3. .

- 43 -

== EE +++=

!"#""""$

++++=

++++=

++++=

%&'

(

)&'

*&'

++

&&&

&&&

&&&

''

,"""#$

=

=

=

'&

.$ $33 +++=

$,

0

0

0 33 $ === + $$ ===

0 $$$ ======

N* '

7$

!

$ ,

=

=

=

*

$

$

.. 2*

- 44 -

== EE +++=

!"#""""$

++++=

++++=

++++=

%&'

(

)&'

*&'

++

&&&

&&&

&&&

''

,"""#$

=

=

=

'&

.$ $33 +++=

$,

0

0

0 33 $ === + $$ ===

0 $$$ ======

N* '

7$

!

$ ,

=

=

=

*

$

$

.. 2*

- 44 -

== EE +++=

!"#""""$

++++=

++++=

++++=

%&'

(

)&'

*&'

++

&&&

&&&

&&&

''

,"""#$

=

=

=

'&

.$ $33 +++=

$,

0

0

0 33 $ === + $$ ===

0 $$$ ======

N* '

7$

!

$ ,

=

=

=

*

$

$

.. 2*

- 44 -

== EE +++=

!"#""""$

++++=

++++=

++++=

%&'

(

)&'

*&'

++

&&&

&&&

&&&

''

,"""#$

=

=

=

'&

.$ $33 +++=

$,

0

0

0 33 $ === + $$ ===

0 $$$ ======

N* '

7$

!

$ ,

=

=

=

*

$

$

.. 2*

- 44 -

E

=

=

=

=

=

=

E

+

=

=

=

!"#!$#

+

=

%&'()

*++,-*,- ++=

[ ]

[ ]

+

=

+++

=

+++

=

-

*++,*,*,-

*++,*,*,-

,*

[ ]

[ ]

[ ]

+

=

++

+=

+++

=

+++

=

-

*++,

-*,*,

*,*,-

*++,-*,*,*,*,

-

*++,-*,*,*,*,

-

,*

(,*

*+-,

*, +=+

J

- 45 -

E

=

=

=

=

=

=

E

+

=

=

=

!"#!$#

+

=

%&'()

*++,-*,- ++=

[ ]

[ ]

+

=

+++

=

+++

=

-

*++,*,*,-

*++,*,*,-

,*

[ ]

[ ]

[ ]

+

=

++

+=

+++

=

+++

=

-

*++,

-*,*,

*,*,-

*++,-*,*,*,*,

-

*++,-*,*,*,*,

-

,*

(,*

*+-,

*, +=+

J

- 45 -

E

=

=

=

=

=

=

E

+

=

=

=

!"#!$#

+

=

%&'()

*++,-*,- ++=

[ ]

[ ]

+

=

+++

=

+++

=

-

*++,*,*,-

*++,*,*,-

,*

[ ]

[ ]

[ ]

+

=

++

+=

+++

=

+++

=

-

*++,

-*,*,

*,*,-

*++,-*,*,*,*,

-

*++,-*,*,*,*,

-

,*

(,*

*+-,

*, +=+

J

- 45 -

E

=

=

=

=

=

=

E

+

=

=

=

!"#!$#

+

=

%&'()

*++,-*,- ++=

[ ]

[ ]

+

=

+++

=

+++

=

-

*++,*,*,-

*++,*,*,-

,*

[ ]

[ ]

[ ]

+

=

++

+=

+++

=

+++

=

-

*++,

-*,*,

*,*,-

*++,-*,*,*,*,

-

*++,-*,*,*,*,

-

,*

(,*

*+-,

*, +=+

J

- 45 -

! $ + $,

+=

+

+

+=

+

+

$

$

$

$

$

$

$

@

E $$$

,

$$$ $

=

+

+ $ $

=

+

+

+

=+

$

M

& 2 =

(

E,

$

= +

$

= +

$

$

=

$

$$ M+ ,

=

''$'

=

=

=

+=

=

=

- 46 -

! $ + $,

+=

+

+

+=

+

+

$

$

$

$

$

$

$

@

E $$$

,

$$$ $

=

+

+ $ $

=

+

+

+

=+

$

M

& 2 =

(

E,

$

= +

$

= +

$

$

=

$

$$ M+ ,

=

''$'

=

=

=

+=

=

=

- 46 -

! $ + $,

+=

+

+

+=

+

+

$

$

$

$

$

$

$

@

E $$$

,

$$$ $

=

+

+ $ $

=

+

+

+

=+

$

M

& 2 =

(

E,

$

= +

$

= +

$

$

=

$

$$ M+ ,

=

''$'

=

=

=

+=

=

=

- 46 -

! $ + $,

+=

+

+

+=

+

+

$

$

$

$

$

$

$

@

E $$$

,

$$$ $

=

+

+ $ $

=

+

+

+

=+

$

M

& 2 =

(

E,

$

= +

$

= +

$

$

=

$

$$ M+ ,

=

''$'

=

=

=

+=

=

=

- 46 -

=

+=

=

+

=

=

=

+

+

=

+

++

===

E

+=

+

+

+=

+

3

3

A

=

+

+

+

=+

=

++

=

+

+

3

+

= +

= +

=

- 47 -

=

+=

=

+

=

=

=

+

+

=

+

++

===

E

+=

+

+

+=

+

3

3

A

=

+

+

+

=+

=

++

=

+

+

3

+

= +

= +

=

- 47 -

=

+=

=

+

=

=

=

+

+

=

+

++

===

E

+=

+

+

+=

+

3

3

A

=

+

+

+

=+

=

++

=

+

+

3

+

= +

= +

=

- 47 -

=

+=

=

+

=

=

=

+

+

=

+

++

===

E

+=

+

+

+=

+

3

3

A

=

+

+

+

=+

=

++

=

+

+

3

+

= +

= +

=

- 47 -

* E

$+$$ $)'

& $ = $$

E,

P +=

P

=

=

,

+

=

+

E2.

,

*P

*

+++

=++

=+

,

+

++

+

=

P

*

P

- 48 -

* E

$+$$ $)'

& $ = $$

E,

P +=

P

=

=

,

+

=

+

E2.

,

*P

*

+++

=++

=+

,

+

++

+

=

P

*

P

- 48 -

* E

$+$$ $)'

& $ = $$

E,

P +=

P

=

=

,

+

=

+

E2.

,

*P

*

+++

=++

=+

,

+

++

+

=

P

*

P

- 48 -

* E

$+$$ $)'

& $ = $$

E,

P +=

P

=

=

,

+

=

+

E2.

,

*P

*

+++

=++

=+

,

+

++

+

=

P

*

P

- 48 -

+

++

+

==

+++

+

==

!

( ) ( )

( ) ( )

+

+

++

=

+

+

+

=

"#

"

#

"

#"

#

$

$

% & ! $ = ' = ' = %(

( )

=

=

$

""''

''

"

''

'"'"

$ ',0 3$0 ,

[ ]

=

$

$$

&

' $ &

,

[ ]

=

$

$$

E

+

=

++

=

+=

+=

$$

$

$

$$

33

33

33

- 49 -

+

++

+

==

+++

+

==

!

( ) ( )

( ) ( )

+

+

++

=

+

+

+

=

"#

"

#

"

#"

#

$

$

% & ! $ = ' = ' = %(

( )

=

=

$

""''

''

"

''

'"'"

$ ',0 3$0 ,

[ ]

=

$

$$

&

' $ &

,

[ ]

=

$

$$

E

+

=

++

=

+=

+=

$$

$

$

$$

33

33

33

- 49 -

+

++

+

==

+++

+

==

!

( ) ( )

( ) ( )

+

+

++

=

+

+

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31

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31

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31

!

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- 60 -

E

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- 62 -

+= E

F##'8

+

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8

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+= EG ( )

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- 63 -

+= E

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- 63 -

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5

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- 63 -

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H % %

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% '

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H % %

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$

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- 68 -

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# !""

$ % &""' !

$ () *+ , -( ' & ,.

&/0'1 ,,, ,2 . (

3( /"" = ( 422 =

5%6

&""'

789:/0 !:,, == &""'

782 !, =

5(%

4 PJ

1$( 5 5

#$ # QO

6 ' ' # (

44 ( #(

1

# (1 # 55 ( H# #

55

1 (

((((( +

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551

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- 68 -

!"

# !""

$ % &""' !

$ () *+ , -( ' & ,.

&/0'1 ,,, ,2 . (

3( /"" = ( 422 =

5%6

&""'

789:/0 !:,, == &""'

782 !, =

5(%

4 PJ

1$( 5 5

#$ # QO

6 ' ' # (

44 ( #(

1

# (1 # 55 ( H# #

55

1 (

((((( +

=+ EJ

#J#

551

((

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=++ JE

- 68 -

!"

# !""

$ % &""' !

$ () *+ , -( ' & ,.

&/0'1 ,,, ,2 . (

3( /"" = ( 422 =

5%6

&""'

789:/0 !:,, == &""'

782 !, =

5(%

4 PJ

1$( 5 5

#$ # QO

6 ' ' # (

44 ( #(

1

# (1 # 55 ( H# #

55

1 (

((((( +

=+ EJ

#J#

551

((

(((((( +

=++ JE

- 68 -

' +

+

#( 5 9

5 , '

C

' '#

# Q #

=+ #

# ==== ' '

55+

+= 55+

+

=

+

+E

55

+

= , = , 55

++

++

++

=

O# = == 55

=

- 69 -

' +

+

#( 5 9

5 , '

C

' '#

# Q #

=+ #

# ==== ' '

55+

+= 55+

+

=

+

+E

55

+

= , = , 55

++

++

++

=

O# = == 55

=

- 69 -

' +

+

#( 5 9

5 , '

C

' '#

# Q #

=+ #

# ==== ' '

55+

+= 55+

+

=

+

+E

55

+

= , = , 55

++

++

++

=

O# = == 55

=

- 69 -

' +

+

#( 5 9

5 , '

C

' '#

# Q #

=+ #

# ==== ' '

55+

+= 55+

+

=

+

+E

55

+

= , = , 55

++

++

++

=

O# = == 55

=

- 69 -

$ ' - #

#'" 55 > , >

' ' #

##

#

+

=

55

$'$''', 5

K 55 #

55

#%0

55

=

'# # # # $ ' %I-

- 70 -

$ ' - #

#'" 55 > , >

' ' #

##

#

+

=

55

$'$''', 5

K 55 #

55

#%0

55

=

'# # # # $ ' %I-

- 70 -

$ ' - #

#'" 55 > , >

' ' #

##

#

+

=

55

$'$''', 5

K 55 #

55

#%0

55

=

'# # # # $ ' %I-

- 70 -

$ ' - #

#'" 55 > , >

' ' #

##

#

+

=

55

$'$''', 5

K 55 #

55

#%0

55

=

'# # # # $ ' %I-

- 70 -

! = "

#$%&'$()*+,

$"-.#/

00

=

+=

1*+2)*( 2) ( *+ *+"

- 71 -

! = "

#$%&'$()*+,

$"-.#/

00

=

+=

1*+2)*( 2) ( *+ *+"

- 71 -

! = "

#$%&'$()*+,

$"-.#/

00

=

+=

1*+2)*( 2) ( *+ *+"

- 71 -

! = "

#$%&'$()*+,

$"-.#/

00

=

+=

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