Structural analysis for the calculation of the long term cyclic behaviour of transportation infrastructure

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(1)Structural analysis for the calculation of the long term cyclic behaviour of transportation infrastructure Malek Abdelkrim. To cite this version: Malek Abdelkrim. Structural analysis for the calculation of the long term cyclic behaviour of transportation infrastructure. Engineering Sciences [physics]. Ecole des Ponts ParisTech, 2004. English. �pastel-00000644�. HAL Id: pastel-00000644 https://pastel.archives-ouvertes.fr/pastel-00000644 Submitted on 5 Apr 2004. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés..

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(394) EUW\_V3X ^WXEaW`bX. P. :. v F1%$H #$

(395) <bG)* <%$H HS#$% b

(396) S¢HS

(397) #$*

(398) 1$C% $HIG)E% !$QG¢he ffffffffff0fffffffffffff0 I B = F3%$H+

(399) #'

(400) *GI)

(401) %OH+

(402) HI#$% I¢HS

(403) #$_ =$ 3

(404) HSG#' =% HI #' IA @ FC%0OHg

(405) #$ 0 G)* .%BG $H .

(406) C'.% OHIG)*C% !'"G¢he 0 I A @v FC%0OHg

(407) #$ 0 G)* .%BG $H .

(408) C' HIGe#$I % ¥HI #$ ff0 I M B F%+OHf

(409) #'

(410) &G)* <% 1%"Pb!$QG¢he E E$<% OHIG)*% E!$QG¢he II M Av FC%0OHg

(411) #$ 0 G)* .% %QP !$QG¢h

(412)

(413) $

(414) HIG

(415) #$ % HI #' 0 I < M:

(416) G¢h ) HN#$

(417) HS#'W%0OHI#$

(418)

(419) f0fffffffffffff0 ºI fffffff0fffffffffffff0 º <:G

(420) HS#' I:G

(421) HS#' fffffff0fffffffffffff0 º f0fffffffffffff0 º = "{) HS#$$$H %0OH_G HS

(422) #$ @LMHI#'$OH <%f$H_G HN#$I f0fffffffffffff0 ºS = FI#$ hI)' HIG¢hf%HI COHgGI

(423) HS#' ffffffff0 ºI @ S@ FI#$ hI)' HIG¢hfeC$

(424) Q)* # G

(425) HS#' ff0 ºI @ I @v FI#$ hI)' _%

(426) I#' G

(427) HS#' ffffffffff0 º B B FI#$ hI)' E% C%"P G HS

(428) #$ fffffffffff0 ºI A I A

(429) #'$'<%0 #$

(430) CG#$!' #'#'

(431) #OHI"P f0fffffffffffff0 º$ M $ M:GHI'GHI& F#' ffffff0fffffffffffff0 = $ <:GHI'GHI& F#' ffffff0fffffffffffff0 = ? = :GHI'GHI& F#'

(432) ffffff0fffffffffffff0 = ? = {GHI'GHI& F#' ffffff0fffffffffffff0 = ? = vGHI'GHI& F#' ffffff0fffffffffffff0 = ? =I= GHI'GHI& F#' ffffff0fffffffffffff0 = ? = @GHI'GHI& F#' ffffff0fffffffffffff0 =I= ? = @vGHI'GHI& F#' ffffff0fffffffffffff0 =I= ? =IB GHI'GHI& F#' ffffff0fffffffffffff0 = ? = AvGHI'GHI& F#' ffffff0fffffffffffff0 = @ ? = M:GHI'GHI& F#' ffffff0fffffffffffff0 =IB. : : : : :. 2 2. ,. E%. E%. !. ,. . E%. 2. . -, -, 7 > 7 > 7 > 7. -, . " , -, . 7'. " ,. 7'.

(433) EUW\_V3X ^WXEaW`bX. ? = <:GHI'GHI& F#'

(434) :GHI'GHI& F#' {GHI'GHI& F#' vGHI'GHI& F#' = GHI'GHI& F#' @GHI'GHI& F#' + @vGHI'GHI& F#' . @. @. @ . . ". . '. . . H" %. @. @. . @. @. . @. . @. " 3'. . '. '. ". . '. 8" E%. " %. ;.. . 4. . " 3'. . 5'" E%. . 6. . . @. '. " 7' 2 : . ?2 '. " E%. @. . . . @. . =IB . . =A. =A =M =M =< =< B B RM . 5 I <$M fffffffff0 5 I <$M fffffffff0 ?= = ffffffffffff0

(435)

(436) J¢HS

(437) %

(438) HS#$ 8GQG'# z% HI#' E

(439)

(440) #'0G $ //

(441) ¥% ¥HS

(442) i , $H_<HI RS = fffff0fffffffffffff0 RM @ G

(443) ! % I$

(444) #$ % % I

(445) )HS#' .')*# f G

(446) #$ % I)g!

(447) %0GQG' ¥% ¥HI i , $H_<HI }II = fffffffffffff0 R < ?B %

(448) )#'RHS#'_% HI ? f RHS #' 3%<$H.

(449)

(450) ¢HN#$I %GQG' fff0fffffffffffff0 @" $HI

(451) # .%RHI C'. OHS A I$

(452) #$ %B%#OH I HI)*). I % I

(453) )HS#'&%RHI C

(454) HS#»

(455)

(456) #OH P#$HIGe"G$# Q ¥% HI

(457) i <LMHI

(458) #$ <IM fff0fffffffffffff0 @ M #$ G.%

(459) #$ e % GQG' %.G

(460) HI#$

(461) $Hg% I

(462) )HS#'bHNP"#$HI$ )

(463) fHIW #OHNP"#$HI % ¥HI i ; JSH HI% F <IM fffffffff0 @S < I$

(464) #$&% <% ) HS

(465) #$ E F

(466) )HI

(467) <HNP"#OHI' Ge#'&%B)g! f% GQG' %0G¢hRHI )* ¥% ¥HI i 5 NHI

(468) <HI F <I<IM fffffffff0 @$M º:G¢h)*#$ %0G

(469) HI#$

(470) f

(471) HI%#$HI"PW%HI $. $HI fffffffff0 B { I$

(472) #$% 0% I

(473) )HS#' + ) HI f IG

(474) #$% )!

(475) _%jGe"G$ %0G¢hRHI )*C FI $

(476) #$

(477) #JHI"P&%0G¢hRHS ) G I A J*fffff0 B v#$

(478) HS#'W%0OHg'#% ´ #$%CHI S %HI $. $HI fff0 BIB = I$

(479) #$ % E% ) HS

(480) #$ 1

(481) )HI H P#$HI$ eOHS

(482)

(483) HI$ IG

(484) #$% )g!

(485) .%0GQG$ C%0G¢hRHI )* G I A J fffffffffffff0 BIB @ SHI'RHS#'b%& RHS HI)*i

(486)

(487)

(488) _ RHI ?#$ 1%

(489)

(490) J¢HS

(491) %

(492) HS#$ % ´ #$%CHS II LG I A J OH

(493) HºI0% A ') HS

(494) G¢h fffffffffffff0 B A. %. @. 1" E% 1" E%. G¢hRHI )*C HI%#OHI ¥% ¥HS

(495) i G¢hRHI )*C HI%#OHI ¥% ¥HS

(496) i GQ$#'% .G

(497) "P , OH_e / HI S. E%. @. ffffff0fffffffffffff0 ffffff0fffffffffffff0 ffffff0fffffffffffff0 ffffff0fffffffffffff0 ffffff0fffffffffffff0 ffffff0fffffffffffff0 ffffff0fffffffffffff0. '. 7' " 2' . . " 2'. .

(498) EUW\_V3X ^WXEaW`bX. @ @veP")* ' %0GQG' %0GI

(499) HI#'0 . HI%#OHI"P ffffffffff0 B M @ B G

(500) HI#'

(501) )HNP"#$)HI$ .·% ) HS

(502) #$ ) HS fffffffff0 IA @ Av% G)* F #'

(503) #$ 1%

(504)

(505) fe

(506) B RHS #' % eQ#OHS

(507)

(508) #6Q C#$ I "A B )Q%i$ E=34 " Q%#'RII3' f0fffffffffffff0 A B B

(509) G¢h ) HN#$

(510) HS#'W %

(511) )HS#' E OHI %0

(512)

(513) HI# E=34 ffff0 AIA B?= )Q%i$ #'!$QG ffffffff0fffffffffffff0 A$M B IHS#' E OHN#'I HI )*"%i$ C·!#$!$QG^E fffffffffffff0 A$< B @ #$G

(514) ) % G

(515) HI#$

(516) b

(517) #'%$$ b%

(518) + 3% #$G

(519) ) % b%

(520) )HS#' F

(521) )HI

(522) %RHI C'.!#$!$QG fff0fffffffffffff0 M = B?B I$

(523) #$W% C% ) HN#$I E

(524) )HI G#'&%

(525) fffff0 MR@ B A I$

(526) #$W% HI

(527) )* #$%z Ge#$IW%

(528) " )Q%i$.!#'!$QGA' ff0 MR@ B M % #'If%BGe"G$0%0GI

(529) HI#'0HI % _%0OHg% #'

(530) .%0

(531)

(532) G ffff0 MRA B < GQG'0%0G

(533) HI#$

(534) .

(535) $HS# jB

(536) HS#»Q%) e # fffffffff0 MIM B º:

(537)

(538) J¢HSj%&$H. .. 6. 3%. ) Q% '#$ HN#$I

(539) )# pHIHI'# %~ !$i)W% Q%)*i

(540)

(541) * FI $.GHI OHS # .C $HI

(542) $HI

(543) # ffffffffffff0 < . 6. B { HI# I HI)*).%_OH. . . ;.. 3%. .. "G %

(544) _%gGHI$G± HI · RHS +%g HS+

(545) #'% )e ¢HIBQQ f'.

(546) I$ #'G#' /E Q;+4 fffffffffffff0 < = B v)Q% $#$

(547) HS#' RHI . ' )* #$ +% !#$!#'$QG%RHI /E Q;+4 K ?Q i)j%j

(548) ? #JSHI$ fffffff0fffffffffffff0 <I B = G)* RHI

(549) HI#$ +%=$HE)Q% $#$

(550) HS#' /E Q;+4 e8%3OH1)*"% $#' HS

(551) #$C

(552) )# pHIHI'# % #$!$QG fffffffff0fffffffffffff0 <R@ B @G)* RHI

(553) HI#$ +%=$HE)Q% $#$

(554) HS#' /E Q;+4 e8%3OH1)*"% $#' HS

(555) #$C

(556) )# pHIHI'# %&

(557) I!$i).%0 "%)*i

(558)

(559) ff0fffffffffffff0 <R@ B @SHI

(560) #$HS#' %)*"%$0% I be+% G"*G#$+% A #$

(561) M G#'M% OHg

(562) #$IB%0G R) % ¥HI

(563) i > %

(564) HI HNRH_<HI <$<IM ffff0 <RA B B %

(565) )#'RHS#' % <GHI

(566) HIG

(567)

(568) #'

(569) # %

(570) #' HIG% !HI$$HI ¥% ¥HI i > % HS HS

(571) RH_CHI <I<IM ffff0fffffffffffff0 <RA B AvGHI$H % _ RHS HI)*i

(572)

(573) %bOHB$#%WGI)

(574) )*g _OH

(575) RHI ?#$%WOH G

(576) !fP" F

(577) #$)*HI$ ffff0fffffffffffff0 <I<. . 7. 1,. .. 3%. E% -, " E%. 2. 7'. . E%. '. .. 6. .. 6. . " %. ..

(578) `. EUW\_V3X ^WXEaW`bX. B M:GHI$H2g% 0 RHI

(579) HI)ie .%jOHb'#±%*G)* F ?)+

(580) 0OH C RHS #'g%jOH. G

(581) !fP" F

(582) #$)*HI$ ffff0fffffffffffff0 B <:G)* RHI

(583) HI#$

(584)

(585) *$_)*"%i$!#$!'"GfOHb #$)gOHS

(586) #$BQ)

(587) # j%j HI# E=34 fffffffff0fffffffffffff0 B I:G)* RHI

(588) HI#$ % #$G

(589) )*

(590) %j¢HI

(591) )g% RHS ' #$)gOHS

(592) #$ . )

(593) # Q C'

(594)

(595) J¢HS

(596) % "%#$ II ffffffffffff0 B "{G)* RHI

(597) HI#$ _

(598)

(599) ' =¢HS

(600)

(601) ) 1 #$%$ 3!

(602) F %# F

(603) 3SHI$

(604) %0OHg

(605) HI#$% %0 ³ OHS I)i

(606) ff0fffffffffffff0. . 6. 3%. .. " 3'. 6:. A A ?= A . A @ A ?B. . G QG' ffffffffff0fffffffffffff0 A

(607) QG % % ¥HSGHI$#' HS

(608) #$j RHI RHI % FI#$ ePQ )* 1%bGQG' OHI ?# %0G

(609) HI#'

(610) ffffffff0fffffffffffff0 M #$

(611) HS#'b%.$H$#F%.GI)

(612) )*EGeQG$# .% #$. RHS E$ RHS

(613) #$ A ? B 3A N B$B ffffffff0fffffffffffff0 <

(614) G¢h ) Hj%0GHS$G#'

(615) HN# fff0fffffffffffff0 ºvSHI

(616) #$HS#'%*OH&G

(617) HI#$

(618) jI ?#$GHI$ . Ge#' % HI

(619) )*g OHI ?# %0

(620) Ie

(621) 0 %#

(622)

(623) SHI$

(624) % ffffffffff0. A. E%. /./;.. A A A. A. . ,. . . :. . . . SHI

(625) #$HS#'j%+OHfG

(626) HI#'

(627) +OHN

(628) HI$ G

(629) #$%b¢HS

(630)

(631) ) $HI

(632) # %