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1 "#$! 8%9,01 23 )45#67,%% )-.-/,% &' '%()*+ :00,;<$ 1=< )-.-/,&' + :00,;<$ 1=< )-.-/,61)-% ')2< rezaeear@yahoo.com:41%4( :"! H 9&I<.)1 &! 8) #%E<! *E1 %5 &2 %< 1 #5/ :)4F / 851 %2+!%F %! :=( <,L2M<.J/ 8 "&7 8, %,"&7 )9K1 &I# : ) *+! / )# < 851 +% &! :2+ :%M.)-! "42<!,&I# %N1 01 )1 < ) :E! :H "& / )1 )9K1 1 %5, +% I 8)- E4- %O!, Q! 2#< % "2' (0< "&.- < P < "&! / (3.- 9& 9!%F.%S < T +%! % %2+!%F &I# * N3R<, 8)!, & :U )V -1 8X.%X,!X 8X<,%X2+ X!%F X&I# )X1< &#/ &! 3%O 9XH% X 8)X X! J#X< X "&.)/< 29<! Z01,%&[7Y %X 4X5< 8X<I2# )9K1 #/ YM1,\% :)- )-.)#< 957! +% O* `! )&$ )-< + _ %2/ ]^ ]- O )# 5/.-< "X& %X%.)X- )#!! (+ B/_ 87 d %</ bc_ `! \&) %/. Z&I "&7 )9K1 &I# %E< #3%O *< 8/ J#! X/ (X3 )1)-< & [S&<% #&I# *< % g )2+ )&) #U%7 -[S "& M1 8+.)-< 9h 3 ) O / )- < %2+!%F &I#,H %<,(Slab) #%XE< X#JXE X XE&0< X X! J#X<,)X&) ;%K1. )#!! [

2 8)! D / :N3R< BD.%XSX< X `X< X X 8)! J#< 89 %% %'3 3 B S)52! U(4 ]/% )&$ D 8X "K2# )&,- j3! :- HR! %& < )1 < &# "F ii &I< L Z#/ % % )&- %2/ :%2= 1 S)1 :<)! Z&I +% Z&I / %E< *1 <0<.)#<. +% := 8)- E4-45< Y)+! J/ )9K1 &I# S6& %S :XH X X "X42< X9(.%X/ )X7 8X2O X2 X# 2 &1 )&%K #& )X3 ZX X X1 < [S&<% l.)- < )- k& &!Z7 \& %2+!%F #&I# *< % F%S.%/< P "& *!! 9X- X.-< n L'< "& )= 92E,)&$< ) mk< %&.)# Z#/ %5! #&I# )1 < =H )- L1 % %op< 12! %X X X< X1 #X5/ %X'3 3 /! # "&%%=< 82($ 5/ E1% 5/ : ) *+,)1%S Rheda, Zublin and other variants B Stedef, Sonneville Low Vibration q )# 5/ %/ "7U #5/ )# 5/ )T 5/ Walo c Edilon block track r Shinkansen slab track (& 5/ Z&% 5/ s IPA slabt OBB-Porr u Embedded Rail Structurev 89 #5/ &! ) #JE DD 1- Tilting Technology 2- Open Line

3 `! \& DB /%- BAA?.)/< %M =&% = 82($ )!.)X-X< X 8)X %XE< )X&) LX1 X# <- /!)1 / #%E(/ 5&<$ %X#.)X- X< Zublin ( )- 851 B 4- ) Rheda.)1-<!)1 #! #.%,82($ 95< #3%O,#JE "& Rheda `! JE :w4- "&%X xx& X*(^ Metro X#JXE.X-X< X 91 ]^ French stedef JE ZX/ \X&.X-< +% #4*- "y2# \4 "& / (3 )E# %/ )XH %X 8X2O n+ / )/< J#% %&[7z =1 &,.% %& 4.-< {&+ < ;= %XE< X3%O \X& `X! "X&.)X-X< Stedef JE 5< Sonneville low vibration `! X1 <X- X#%/.)X/X< X IX1 4X ZX/ \X& X/ X Swiss Walo JE,-< %< Stedef / Twinblock Stedef )1< / %K& 1&.)- < I1 Channel %X X< X \X& QX! ZX/ \X& X )X- X X91 g )2+ / X91 X#X7 %X g )X2+ ) < %S 82# 8 (D 4-) Edilon black `! JE.%S<.)X- X< < 9/ 9& 8 % 3%< "( ("&7 ) JE "&.-<.)X&21 J#%X Y %&[X7zX =1 1*X57 X )1X-X< Xk& Corkelast )X= X3%< 9/ %X< )X# X& &X- X#JE )# %</ BCC <- JE "& H #%/.)-< (%</ BCC g*&%0 ) )&<

4 Edilon black `! JE :q4- X# 4*X- XM& X/.)X- < 89 &% &! )( "7U 5/ X L%X- BA?b I&X7 X/ / %9- " `! "(.)- ^$ BA_C # %! "E14- }&X.)X-X<!X X3 IX1 JX5- `! )E# 3 `! x7 8/ J#.21 / X! & 4*- %</ c_cc "7U 5/ % 8$ / %S< % BA~C ( 93%O,)X0< "& / )-! P!! %E< %</ BbCC,BAAc.)- 3%O +% X52# X 8)X! "7U.)E# )! %E< <- 8$ %</ BCCC Z.)X-X<,()X1 XO %X< _ %X2/ / &# )!Z7 #%E< <- <X- % )X&)!. :< %K& `! `! \& & )3, 8) %E< )H BA~D X#2XE "X( X/ 1< %E< 3%O ;.)-< (%A? ) % )H. )1< o,)1)- % )X&7 %X& & \& <- ( )- 851 < "& c 4- ) "E14- `! )X ZX7 "X X9(,)X&21 PX X'%+ (O :/%3 )-< 4&)/ 82 )- % 82 (91 b/a_m D/cbm C/B?m) b/ac m D/cb m C/BAm = )- &0.)-< " _ g*&%0 9( 8.)-< 9( "

5 "7U "E14- `! JE : 4-8X2#.)X-X< 8X7 )X X dx % +% `! \& M& 3 %/ %X/ 8)!.)-< 8)! <-! "7U / O! )0< (& 8)!.)-< "7U "4-!.% X X 8)X X! %<X/ BCC %2/ BAAD. %S % < "&7 IPA X< `X %XE< "X&. %X ƒ1x X Y +%X %X7 `! D _/bm )0< "& / -. )- I9M )- S 7U JE.% (Viaduct) X97 X91 g )2+ / 8) %E< %</ D_ (Z&% ) 4X5,)X1 )X- %X 4X / / \& 9% OBB-Porr OBB JE.,)- X 4X- \X& "Xy2#.)- - 2E / Zublin 3%O *-! 8$. )- Wels-Passau `X! E 2E \&. Modurail (Porr JE)!Z7 9( YX1 X #+% % )- 3%O 8) `! JE ]1 BAAD X< X&0 X \X& `X / )/< ) Z7 #.% JE "&.)&21 E X&23 IXM< X01 X/ X& X!.X% )X- %X/ "& Z7 / &#3%O 2#.%S \XF/.0< )# & JE \&,8/ BA~?.)- < (.% &7) -< X z%x=< (b 4-) " X& 7 k< \&) (ERS) Embedded Rail Structure Corkelast Y1 JE "&.)-< 3 <- Ok< \& & % Y)< 1*57 "< <- :%X 8$ X=< X/ )-*< "&7.% `!!,3%O "& ii &I<.(*7PF DC )X# X5/,JXE "& 8/.)1 `! )# % %o # / )-< 8*57 #. )- o J/ )9K1 1 % 8$ )-< %M

6 )# 5/ ERS `! JE :r4- ERS `! JE H HSL-South %X )1 `! JE 8+ ERC % 84< %'3 3 "X& X5k 8+ )# g %! %</ c E 2E \&. \&6 %< Y%E<$ X/ (3 )- 851, `! JE "& H _ 4-. )-! =( <.)#< 851 )- % & <- 1/,b 4- :s4- "&7 )H% & cd.x-x< X "#$ 2(" & Y%< & `! _b ˆI ERS Y9< %'3 3 SA42 X&.X )X- 8X51 JXE "X&? 4X- / )- M&,9 & Y9< \& g%!,%k& ' &I< \&. %2/ )H% _ )( DD_ KN# 23 &1 XO X )X- XS gr*x / E `! 2E & )&) Y9< "&.)-< " & 7 & Z#/.)- ]1 %< B_C

7 "&7 )H % SA42 & JE : t4- %2+!%F :=( < c HSL-S `X! %& -< %S J2,Y%1 9/! < 51 :R45< %O! X-X< )X<1 X7 X/ X-!X,)X- X&23 X# 2X- ` / \& )1< )#.(~ 4-) )# HSL-S `! %& JE :7 %2+!%F &I#.% / -< %S %N1 `! =,8S1S J#< % X,X X%& X X X# &I# `0 # "&.)1-< E&0<,%K& 92E :-< k5< & Š%5! L1 % 1( #&I#.)&$< PE3 +% :k5<! Rheda %&! )51 FŒ4& )- % & %&! )- FŒ4& )- % & %< \& 8+,Y%< `! X X# X/ (Super-Structue) &X % %2+!%F &I# # x&1 :- HR! %& EUR/meter ]E3% )1 <,%S21 %N1

8 "%S %N1 8) & # &I# "2k! &I# EUR ( #&I# EUR 90 "2k :B)! L1 ERS, `! ()51 FŒ4&)NI EUR 860 EUR 910 EUR 70 EUR 80 ERS, `! ()- 9)NI ERS, `! ()- FŒ4&) EUR 1270 EUR 100 Rheda `! JE EUR 1000 EUR 110!.)E# Y9< %1 8) 94- Y2 / "& E% M1 \& :-21 %S %N1 %& J9< :%o,%2+!%f :=( < / = "& `! % % )9< # %2/ %< 8 L Z#/ )H % Z#/ %< :<) &%H,X )X- 4X5 #4-,#E #&,#.% / / `! Y%< \& % "X2k D 2X- )X {X < %X< %X# EUR )X3 ]E3% 1( #&I#! &I# :-<! &I# EUR 500 EUR 800 `! \& 1( # &I#! &I# # &I# 1( #&I# EUR 70 EUR 60 "2k :D )! L1 )- 9, ERS! X! X,PX < X#X&IS X4&,%X2+!%F &I# # x&1 *< % [(.)-

9 %S M1 b LX'< X/ M1$. )+ \& 1O :)< % Y%<! %X2+ < &#/ [( )&%S Š% < \% +%! % )&) H #)&%/ LX'< X2# Z&IX nx+ +% Z&I % %h %,"&7 )9K1,ƒ&%,X 8)X X! "Xy2# X<! %2+!%F &I# % (0< "&.-<.)&%S k5< l' 8) 3%O &I< %< s [1] Esveld, C. (1999) Slab Track: A competitive solution. Rail International, Schienen der Welt, June [2] Esveld, C. (2001) Modern Railway Track. MRT-Productions, Zaltbommel. ISBN ( [3] Zwarthoed, J.M. (2001) Slab Track design: Flexural Stiffness Versus Soil Improvement. Proceedings of Rail-Tech Europe 2001 Conference. [4] Esveld, C., Kok, A.W.M. (1998) Interaction between Moving Vehicles and Railway Track at High Speed. Rail Engineering International, 27, 3, [5] Markine, V.L. (1999) Optimization of the Dynamic Behaviour of Mechanical Systems. PhD Thesis, TU Delft. Shaker Publishing B.V. ISBN [6] Markine, V.L., J.M. Zwarthoed, C. Esveld, (2001) Use Of Numerical Optimisation In Railway Slab Track Design. In. O.M. Querin (Ed.): Engineering Design Optimization Product and Process Improvement. Proceedings of the 3rd ASMO UK / ISSMO conference, Harrogate, North Yorkshire, UK, 9th -10th July ISBN: (for text version), ISBN: (for CD-ROM version). [7] Bachmann, H., W. Mohr and M. Kowalski (2003) The Rheda 2000 ballastless track system. European Railway Review, Issue 1, 2003, [8] de Man, A.P. (2002) DYNATRACK: Dynamic behaviour of railway track. Delft University Press, Delft. ISBN ( [9] Penny, Ch. (2003) Balfour Beatty embedded track system. Proceedings of Rail-Tech Europe 2003 Conference. [10] Huurman, M., Markine, V.L., de Man, A.P. (2002) Design Calculations For Embedded Rail In Asphalt. Proceedings of Rail. Proceedings of Railway Engineering-2002 Conference, London, UK, 3rd-4th July ISBN [11] Zwarthoed, J.M., V. Markine, C. Esveld; (2001) Slab track design: flexural stiffness versus soil improvement. In: Rail-Tech Europe, 3-5 April 2001, Utrecht, ISSN CD-ROM, 2001, p. 1-22

POD. Combine these like terms: 1) 3x 2 4x + 5x x 7x ) 7y 2 + 2y y + 5y 2. 3) 5x 4 + 2x x 7x 4 + 3x x

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