Tyre Vehicle Dynamics 2011 Part 7 docx

 IPITU@69`TU6U@ÃTUSDIBÃ76T@9ÃU`S@ÃHP9@GT h†Ãs‚ˆqÃs‚…ÇurÆyvƒÃhtyrÅr†ƒ‚†rÃ8‚†r„ˆr‡y’ÇurÆh€rÃpˆ‡‚ssÃs…r„ˆrp’ hƒƒyvr† FR V)  ' $&# %D XurÃhhy’†vtÇurÃiruh‰v‚ˆ…Ãh‡Ã†€hyyÃs…r„ˆrpvr†Ãv‡Ãhƒƒrh…†Ã‡uh‡Ãur…rÇurÃuh†r yhtÃq‚r†Ã‡rqǂ) &k ) ) V ÃÃÃÃÃÃs‚…Ãà †Ã 6 $&$ v‡uÇurÅryh‘h‡v‚Ãyrt‡uÃs‚…ÇurÆvqrÃs‚…prÐv‡uÅr†ƒrp‡Ã‡‚ÇurÒhÃhtyr) ) ' %D ÃÃÃÃÃà $&% Aˆ…‡ur…Ãhhy’†v†Ã…r‰rhy†Ã‡uh‡ÃurÃqr‰ry‚ƒvtÇurÃs…r„ˆrp’Ã…r†ƒ‚†rÃsˆp‡v‚ CA ÃvÃhÆr…vr†ÃˆƒÃ‡‚ÇurÆrp‚qÃqrt…rrÃvÃv + L ) V ÃÃÃà '& ' & ) ) &  & ^ ) ) L E V   ) V &E L & L ) † ) %  %  ` V ) $&& V hqƈi†r„ˆr‡y’Ãr€ƒy‚’vtÇurÃsˆqh€r‡hyÅryh‡v‚†uvƒÃ$#!Ãir‡rrÃ nà …r†ƒ‚†r†ÇurÃÃs…r„ˆrp’Ã…r†ƒ‚†rÃsˆp‡v‚ÃC à irp‚€r†) ÃÃÃà + L ) V '& )  & ) L V %  ' & ) A  Ãhq à ȃǂÇurÃsv…†‡Ãqrt…rrÃvÃv &E L ) V %  † $&' uvpuÆu‚†Ã‡uh‡ ÃÃÃà ) 'E $&( ) uvpuà v†Ã hÃ v€ƒ‚…‡h‡Ã …r†ˆy‡Ã vÃ ‰vrÃ ‚sà h††r††vtà A à s…‚€Ã ’hÃ ‚†pvyyh‡v‚ €rh†ˆ…r€r‡Ãqh‡hÃhqÃpurpxvtÇurÃp‚……r†ƒ‚qrprÐv‡uÃ$&!à UurÃhyvtvtǂ…„ˆrÃH ÃÃAvt$ $Æu‚†ÃhÅr†ƒ‚†rǂÇurÆyvƒÃhtyrÐuvpu “ v†Ãpy‚†r…Ç‚ÃhÆrp‚q‚…qr…Æ’†‡r€Ãv‡uÃhÃuh†rÃyhtÇrqvtǂÃhÉh…vh‡v‚Ãh…‚ˆq E ' ÃhqÃhÃ!) Ãh†’€ƒ‡‚‡vpÆy‚ƒrÂsÇurÃh€ƒyv‡ˆqrÐv‡uÃhÃpˆ‡‚ssÃs…r„ˆrp’Ãr„ˆhy ‡‚)à V0 FR '  $' W % D ur…rÇÃqr‚‡r†Ã‡urÁrˆ€h‡vpDžhvyÃpsÃ$$$Ã6thvÇurÅr†ƒ‚†rÂsÃA’Ç‚à ‡ˆ…†Ã‚ˆ‡Ã‡‚ÃirÇurÆh€rÃh†Ã‡urÅr†ƒ‚†rÂsÃH ǂà “ †u‚†ÇurÃh€ƒyv‡ˆqrÂsÃH Ãh†ÃhÅr†ƒ‚†rǂÒhÃ‚†pvyyh‡v‚†Ã “ qvƒÃh‡Ãv‡uÃh…h€r‡r…à Ã2à "hÃhÐh‰ryrt‡uà à 2à - n Ã6†Ã‡urÃt…hƒuÂsÃAvt$ $ ÃÃr‘uviv‡†ÃhÃpyrh… !hà Uuv†Ã p‚qv‡v‚Ãp‚……r† ƒ‚q†Ã‡‚ÇurÆv‡ˆh‡v‚Ãqrƒvp‡rqÃvÃAvt$ "Çuv…qÃph†rÃhqÃv†Ã…rsr……rqǂÃh†Ã‡ur €rhqr…vtÃur‚€r‚Ã‚…Ãh†Ãxvr€h‡vpÆuv€€’ÐuvpuÂppˆ…†ÃvÃƒ…hp‡vprÐur ‡urÐurryÃv†Ãhyy‚rqǂƐv‰ryÃs…rry’Ãhi‚ˆ‡Ã‡urÉr…‡vphyÃh‘v†Ã‡u…‚ˆtuÇurÐurry pr‡…rÃhqÇurƒ†‡r€Ãv†Ã†y‚y’À‚‰rqÃs‚…h…q†ÃUurÁrh…y’Æ’€€r‡…vpƇ…vt  IPITU@69`TU6U@ÃTUSDIBÃ76T@9ÃU`S@ÃHP9@GT  0 ] 0 ] 0 V  \ )  0 ) ] 0 qrs‚…€h‡v‚Ãr‘ƒyhv†Ãu’ÇurÃh€ƒyv‡ˆqrÂsÇurÃhyvtvtǂ…„ˆrÃhy€‚†‡Ã‰hv†ur† h‡Ã ‡uv†Ã h‰ryrt‡uà 6‡Ã uvtur…à s…r„ˆrpvr†Ã ‡urà h€ƒyv‡ˆqrà …r€hv†Ã svv‡rà hq 64à ‡urà †h€rÉhyˆrÃh†Ãv‡ÃuhqÃh‡Ã Çuh‡Ãv†)ÃHÃ2Ã8 Ã2 à Uurà ƒuh†rà htyrà hƒƒ…‚hpur†Ã "% E à D‡Ã v†Ã v‡r…r†‡vtà ‡uh‡Ã hhy’†v†Ã h‡ hƒƒ…‚hpur†Ãh‡Ã 8H¶ †Ã †Ã à “ H s…r„ˆrpvr†Ãhƒƒ…‚hpuvtÓr…‚Æu‚†Ã‡uh‡Ã‡urÃuh†rÃyhtÃi‚‡uÃs‚…ÇurÅr†ƒ‚†rÂs H ǂà “ Ãhqǂà ÃhqÇuˆ†Ãhy†‚Ãs‚…ÃA’Ç‚à nÃhƒƒ…‚hpuÇurÉhyˆrà hy†‚Ãhƒƒrh…rqǂÃirDžˆrÃs‚…ÇurÅr†ƒ‚†rÂsÃA’Ç‚à ' 0 ' n' ) ) ' %D †Ã  à hÇuh‡ ÃT‚ÐrÃuh‰r) ÃÃÃÃÃà $'  @‘ƒ…r††v‚†Ã r„ˆv‰hyr‡Ã ‡‚à $&&!&#&('' à hƒƒrh…à ‡‚à u‚yqà s‚…à ‡ur ruhprqÀ‚qryÐv‡uDžrhqÃryr€r‡†Ãh‡‡hpurqǂÇurƇ…vtÃpsÃTrp‡v‚Ã$#"à  Uurǂ…„ˆrÃqˆrǂDžrhqÐvq‡uÃH “Æu‚†Ã hà …r†ƒ‚†rǂÒhÃhtyrà à Çuh‡ vp…rh†r†ÃvÃh€ƒyv‡ˆqrÐv‡uÃh‡uÃs…r„ˆrp’ÃhqƇh…‡†Ã‚ˆ‡Ãv‡uÃhÃuh†rÃyrhqÂs E ( Ðv‡uÅr†ƒrp‡Ã‡‚à Ã6‡Ãy‚Ãs…r„ˆrpvr†Ã‡urÀ‚€r‡Ãhp‡†ÃyvxrÇurǂ…„ˆrÂsÃh ‰v†p‚ˆ†Ã…‚‡h…’Ãqh€ƒr…Ðv‡uÃqh€ƒvtÅh‡rÃv‰r…†ry’Ã…‚ƒ‚…‡v‚hyÐv‡uÇurƃrrq ‚sDžh‰ryÃWÃXrÃsvqÐv‡uÃ@„$%&)  (0 0( ' & ] s‚…Ãà 6‡ÃuvtuÃs…r„ˆrpvr†Ã †Ã †Ã 6 $'! 64Çuh‡Ãv†Ãh‡Ã‰hv†uvtÐh‰ryrt‡uà Ã6Ður…rÇurǒ…r  v†Ã †‡hqvtà †‡vyyà ‡urà ‡’…rà hp‡†Ã yvxrà hà ‡‚…†v‚hyà †ƒ…vtà hqà ‡urà €‚€r‡Ã H “ hƒƒ…‚hpur†Ã8H V0 (nFR ' Ã2Ã8Hn hÃpsÃ$%'ÃUurÃpˆ‡‚ssÃs…r„ˆrp’Ãhƒƒrh…†Ã‡‚Ãirp‚€r) à  $'" D Uurǂ‡hyÀ‚€r‡Ãhi‚ˆ‡Ã‡urÉr…‡vphyÃh‘v†Ãv†Ã‚i‡hvrqÃi’ÃhqqvtÇurÃp‚€ƒ‚r‡† qˆrǂÃyh‡r…hyÃhqÃy‚tv‡ˆqvhyÃqrs‚…€h‡v‚†) ] ' ] % ( ] $'# A‚…ÇurƇhqvtǒ…rrÃsvq†Ãs…‚€ÃhÒhÃ‡r†‡Ã‡urǂ‡hyǂ…†v‚hyƇvssr††Ã8H uvpuà …ryh‡r†Ã ‡‚à ‡urà hyvtvtà †‡vssr††Ã hqà ‡urà †‡vssr††Ã qˆrà ‡‚à ‡…rhqà vq‡uà h† s‚yy‚†) \  ] ' ] UurÆr‡Ã€h’ÃirȆrqÃvÃp‚€ivh‡v‚Ãv‡uÇurÃsv…†‡‚…qr…Ér…†v‚Ã‚sÃ$!#) ( ] '& n & G ' GV ‚…à vÃ ‡urà ‚yvrh…à ph†rà & nn $ !( nà €h’à irà ˆ†rqà h†Ã vƒˆ‡Ã vÃ ‡urà †‡rhq’†‡h‡rà €‚qry qr†p…vƒ‡v‚Ãr‘‡rqrqÐv‡uLj…Ã†yvƒÃpsÃTrp‡v‚Ã#"" Uurà †vtyrà ƒ‚v‡Ã p‚‡hp‡Ã €‚qryà v‡uà ‡…h†sr…à sˆp‡v‚†Ã $ $ %à v† t‚‰r…rqÃi’ÇurÆvtyrÃsv…†‡‚…qr…Ãqvssr…r‡vhyÃr„ˆh‡v‚) ÃÃà G Y GV %  Y  ' &  G\ GV ' $ " v‡uÇurÅryh‘h‡v‚Ãyrt‡u  ' % ' & ) D & $ "  )\ Uuràhvrảyvhtyr ' Y   pyrrurqrpvvtrurvu@$ !& !' $ "!  IPITU@69`TU6U@ÃTUSDIBÃ76T@9ÃU`S@ÃHP9@GT 7’Ãp‚†vqr…vty’Çr…€†ÃˆƒÃ‡‚ÇurÃsv…†‡Ãqrt…rrÃvÃƒÃ‚sÇurÇ…h†s‚…€rq r„ˆh‡v‚†Ã$ ( !!ÇurÃs‚yy‚vtÃvqv‰vqˆhyÃsv…†‡‚…qr…Ãqvssr…r‡vhyÃr„ˆh‡v‚† phÃirÃqrsvrqÐuvpuÃu‚yqÃr‘hp‡y’Ãs‚…à 4à ÃvsȆrÃv†Ã€hqrÂsÇurÁ‚‡h‡v‚ à à à à s‚…ÇurÃvqv‰vqˆhyÅryh‘h‡v‚Ãyrt‡u†Ã$&!ÃhqÃ$' ) ÃÃà ÃÃà ÃÃà G )\ ) % ' GV ) G ] G n V G )\ ) GV % & \ ] '& & % ' ) $ "# ) \ nn & $ "$ $ "% ) hqÃvÃ‡r…€†Ã‚sÇurÃhy‡r…h‡v‰rÆr‡Ã‚sÃvƒˆ‡†) ÃÃà ÃÃà ÃÃà ÃÃà G )\ ) GV % '& ) G ] G V G )\ ) GV G ] ' % ' G ] % \ V ) % \ ] G\ & ) & $ "& GV G\ $ "' GV $ "( & ) '& & $ # ur…rÇurÅr†ƒrp‡v‰rÃvqv‰vqˆhyÅryh‘h‡v‚Ãyrt‡u†Ã…rhqÃhpp‚…qvtǂÇurÃr‘hp‡ ih…rƇ…vtÀ‚qry)ÃÃà ) ' % & ' ' D W ÃÃÃÃÃà n' ) $&! ) ' % D ÃÃÃÃÃà $'  DsÃhy†‚ÇurÅryh‘h‡v‚Ãyrt‡uÃs‚…ÃA’Ðv‡uÅr†ƒrp‡Ã‡‚à à Ãv†Ã‡hxrÃr„ˆhyǂà à à à à h ‡urÐv‡uÅr†ƒrp‡Ã‡‚Lj…Ã†yvƒÃv€ƒ…‚‰rqÆvtyrÃp‚‡hp‡Ãƒ‚v‡Ãhƒƒ…‚‘v€h‡v‚Ãh…v†r† UhiyrÃ$ År†r‡†Ã‡urÉhyˆr†Ã‚sÇurÃÃvqv‰vqˆhyÅryh‘h‡v‚Ãyrt‡u†Ãh†Ãqrsvrq i’Ã@„†$& &$Ãr‡pÃhqÃh††r††rqÁˆ€r…vphyy’Ãs‚…ÇurÉh…v‚ˆ†Ã€‚qry†Ãqv†pˆ††rq hi‚‰rÐv‡uà Ã2"hÃA‚…ÇurÃp‚……r†ƒ‚qvtÃruhprqÀ‚qryÐv‡uDžrhqÃryr€r‡† rÅrsr…Ç‚ÃTrp‡v‚Ã$#"ÃA‚…ÃhyyÀ‚qry†Ã A à 2Ã8A Ã8A’Ãuh†ÃirrÃxrƒ‡Ã‡urÆh€r DÃƒ…hp‡vphyÃph†r†Ã†uv€€’Âppˆ…†Ãh‡Ãƒh‡uÃs…r„ˆrpvr†Ãiry‚Ã‡urÀrhqr…vt s…r„ˆrp’à r‰rÃ iry‚Ã hi‚ˆ‡Ã uhysà ‡uv†Ã ‰hyˆrà Uuv†Ã p‚……r†ƒ‚q†Ã ‡‚à hà ƒ…hp‡vphy ˆƒƒr…Ãyv€v‡Ã‚sÃh #…Ãs‚…ÇurÐh‰ryrt‡uà ÃhÃy‚r…Ãyv€v‡Ã‚sÃphà !$Çv€r† à à ‡urÃp‚‡hp‡Ãyrt‡uÃ!$hÃD‡Ã‡ˆ…†Ã‚ˆ‡Ã‡uh‡ÃvÃ‡uv†Ãƒ…hp‡vphyÅhtrÇurÃht…rr€r‡ ir‡rrÃ‡urÉh…v‚ˆ†Ã€‚qry†Ãv†Ãt‚‚q…Årh†‚hiyrà  IPITU@69`TU6U@ÃTUSDIBÃ76T@9ÃU`S@ÃHP9@GT ÃÃÃÃÃÃÃÃÃÃÃà 0 0 ] ] 0 & & ÃhÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃi VD VD ÃÃÃÃÃÃÃÃÃÃÃÃÃÃà )\ &) ] 0 ] D& Ä ÃpÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃqÃÃà VD VD ÃÃÃÃÃÃÃÃÃÃÃà )\ &) ] 0 & ÃrÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃs VD VD ÃÃÃÃÃÃÃÃÃà ] D0 & ) \ & )\ \ \ ÃtÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃuà VD VD AvtÃ$!  T‡rƒÃ …r†ƒ‚†r†Ã ‚sà †vqrà s‚…prà hqà hyvtvt r rrhy v s rhphq hvhrqry) )rhpàihrảvtqry0 )hvtuhtr0 )ÃÃW‚ÃTpuyvƒƒr0Ãà )ÃÂv‡Ãp‚‡hp‡0Ãà )ÃÃT€vyr’Ærp‚q…qr…0 )ÃÃr‘hp‡Ãv‡uDžrhqÃryr€r‡† IPITU@69`TU6U@ÃTUSDIBÃ76T@9ÃU`S@ÃHP9@GT ÃÃH hH ] ] VD AvtÃ$!!  VD T‡rƒÃ…r†ƒ‚†rÂsÇurÀ‚€r‡ÃqˆrǂDžrhqÐvq‡uǂLj…Ã†yvƒÃƒh‡uÃpˆ…‰h‡ˆ…rÃhqÒh htyrÃs‚…Ãr‘hp‡ÃhqÃhƒƒ…‚‘v€h‡v‚†)Ãà )ÃÃr‘hp‡Ãi…ˆ†uÀ‚qry0à )ÃƇ…hvtu‡Ãp‚rp‡v‚Ãyvrh…Ãv‡r…ƒ‚yh‡v‚0Ãà Ã)ÃÆrp‚q‚…qr…Ãhƒƒ…‚‘v€h‡v‚0à Ã)ÃÃsv…†‡‚…qr…Ãhƒƒ…‚‘v€h‡v‚ )\ &) ) à Ãh Dà ] 0 & 0 D i Avt$!"hipqrsvpyqvtrhtr Arrprrspvsvqrsprhqhyvtvtrrrhyv srhphqhvhrqry) )rhpàihrảvtqry0 )ÃƇ…hvtu‡Ã‡htr‡0à )ÃÃW‚ÃTpuyvƒƒr0à )ÃÂv‡Ãp‚‡hp‡0à )ÃÃT€vyr’Ærp‚q…qr…0 )ÃÃr‘hp‡Ãv‡uDžrhqÃryr€r‡†  IPITU@69`TU6U@ÃTUSDIBÃ76T@9ÃU`S@ÃHP9@GT )\ &) ) ÃÃÃp Dà ] 0 D& ÃÃÃq Dà )\ &) ) ÃÃÃr Dà ] 0 & Ãà ÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃÃs 0 Dà  IPITU@69`TU6U@ÃTUSDIBÃ76T@9ÃU`S@ÃHP9@GT Avt$!"Ãp‚‡¶q 4 Avt$!#à I’„ˆv†‡Ã ƒy‚‡Ã ‚sà ‡ur s…r„ˆrp’Ã…r†ƒ‚†rÃsˆp‡v‚Ã‚sÇur ) ÃA \ ) †vqrà s‚…prà )\à v‡uà …r†ƒrp‡Ã ‡‚à ‡ur urryÒhÃhtyrà ÃA \ D Qhhrr) 2"  ) rhp àihrả vt qry0 D ) )à )à ÃA \ )à ) ] W‚ÃTpuyvƒƒr0à T€vyr’Ærp‚q…qr…0 †‡…hvtu‡Ã‡htr‡0à ƒ‚v‡Ãp‚‡hp‡0à )Ãr‘hp‡Ãv‡uDžrhqÃry€‡† 0 & 4 Avt$!$à I’„ˆv†‡Ã ƒy‚‡Ã ‚s 0 ‡urÃs…r„ˆrp’Ã…r†ƒ‚†r ] 0 sˆp‡v‚Ã‚sÇurÃhyvtvt Dà ‡‚…„ˆrà  ¶Ã ] ’hÃhtyrà ] 0 à v‡u …r†ƒrp‡Ã ‡‚à ‡urà urry Ã8ˆ…‰rÃh v†ÃuvqrqÃi’ÃT€!ÃTh€r p‚qv‡v‚† à & h†Ã v Avt$!# D0] & Avt$!%à I’„ˆv†‡Ã ƒy‚‡Ã ‚s Dà ‡urÃs…r„ˆrp’Ã…r†ƒ‚†r sˆp‡v‚Ã ‚sà ‡urà ‡‚…„ˆr ] qˆrǂDžrhqÐvq‡uà v‡uà …r†ƒrp‡Ã ‡‚à urryÒhÃhtyrà ‡ur  )Ãr‘hp‡Ãi…ˆ†uÃ0 )†‡…hvtu‡Ã p‚rp‡v‚ D0] & à yvrh…à v‡r…ƒ‚yh‡v‚0  Ã)Ærp‚q‚…qr…Ãhƒƒ0 Ã)Ãsv…†‡‚…qr…Ãhƒƒ…‚‘  IPITU@69`TU6U@ÃTUSDIBÃ76T@9ÃU`S@ÃHP9@GT ] 0 & ] 0 ] ] &0 D&0 ] 0 ] 0 4 ] 0 Dà ] 0 ] 0 & Avt$!& I’„ˆv†‡Ã ƒy‚‡Ã ‚sà ‡urà ‚qv€r†v‚hyà s…r„ˆrp’à …r†ƒ‚†rà sˆp‡v‚Ã ‚sà ‡urà hyvtvt €‚€r‡Ã ]Ðv‡uÅr†ƒrp‡Ã‡‚ÇurÐurryÒhÃhtyrà Ã8‚‡…viˆ‡vtÃp‚€ƒ‚r‡†Ã  Ãqˆr  ‡‚à yh‡r…hyà qrs‚…€h‡v‚†Ã hqà H à qˆrà ‡‚à ‡…rhqà vq‡uà hqà hpvhrq ytvqvhy qrshvQhhrr) 2"hhq8Hn2h8H @hphqhvhrqry) )rhpàihrảvtqry0 )hvtuhtr0 )rhpiu0 )WTpuyvr0 )Tvyrrpqqr0 )ÃÂv‡Ãp‚‡hp‡ÃuvqqrÃi’ÃT€!0Ãà )ÃÃr‘hp‡ÃDžry€‡† )ÃƇ…hvtu‡Ãp‚rp‡v‚ÃÃÃyvrh…Ãv‡r…ƒ‚yh‡v‚0à Ã)Ærp‚q‚…qr…Ãhƒƒ…‚‘v€h‡v‚0Ãà )ÃÃsv…†‡‚…qr…Ãhƒƒ…‚‘Ãhy†‚Ã8HnÃ2Ã%Ãh8H  ÃUhiyrÃ$ ÃÃDqv‰vqˆhyÅryh‘h‡v‚Ãyrt‡u†Ãs‚…ÇurÉh…v‚ˆ†Ã€‚qry†ÃqrsvrqÃs‚…à V 6ÃÃÃÃÃÃà à Ãr‘hp‡ ÉTpuy T€vyr’! †‡…‡ht ÃÃÃhÃ2à r‘‡…ry  Ã"!" Ã"!$ Ã" ! Ã" Ã# Ã"$  Ã# Ã# Ã# Ã" Ã# Ã# )nà Ã# Ã# Ã# Ã" ÃÃà Ã#  Ã# Ã# Ã# Ã# Ã# Ã# Ã# Ã# Ã# Ã# Ã# Ã# ) à ) 0¶ à à   IPITU@69`TU6U@ÃTUSDIBÃ76T@9ÃU`S@ÃHP9@GT à $#!ÃP‡ur…ÃH‚qry† U‚À‚…rÀ‚qry†ÃvyyÃirÃi…vrsy’Ãqv†pˆ††rqÃUur†rÃh…rÇurÀ‚qry†Ã‚sÃFryq’†uÃps B‚puh…rx‚à (' ÃhqÃ7r††ryvxÃ!ÃhqÂsÃH‚…ryhqà ($#ÃUurÀ‚qry† h…rà ‚‡Ã ih†rqà ‚Ã ‡urà †‡…r‡purqà †‡…vtà p‚prƒ‡à Uur’à srh‡ˆ…rà ‡‚à qrt…rr†Ã ‚s s…rrq‚€)ÇurÃyh‡r…hyÃqrsyrp‡v‚ÃhqÇurǂ…†v‚Ãqrsyrp‡v‚ÃhqÃqv†…rth…qÇurÃsvv‡r yrt‡uÂsÇurÃp‚‡hp‡Ã“‚rÃUurÆvtyrÂv‡Ã‚…Ƈ…hvtu‡Ã‡htr‡Ãhƒƒ…‚‘v€h‡v‚† ‚sÇurƇ…vtà €‚qryà uh‰rÃhÆvtyrÃqrt…rrÂsÃs…rrq‚€Ãur…rÇurÃyh‡r…hyÃhqÇur htˆyh…à qrsyrp‡v‚Ã h‡Ã ‡urà yrhqvtà rqtrà h…rà yvxrqà ‡u…‚ˆtuà hÃ hytri…hvp …ryh‡v‚†uvƒà Uurà hqqv‡v‚hyà qrt…rrà ‚sà s…rrq‚€Ã ‚sà Fryq’†u¶†Ã hqà H‚…ryhq¶† †vtyrà ƒ‚v‡Ã €‚qry†Ã v‡uà hà ‚u‚y‚‚€vpà p‚†‡…hv‡Ã à sv…†‡‚…qr…à qvssr…r‡vhy r„ˆh‡v‚Åhv†r†Ã‡ur…qr…ÂsÇurÃqr†p…vƒ‡v‚Ãs…‚€Ã‚rǂǐ‚à Fryq’†u¶†Ã€‚qry Uuv†Ã €‚qryà v†Ã x‚Ã ‡‚à irà ˆ†rqà vÃ ‡urà Sˆ††vhÃ hv…p…hs‡Ã vqˆ†‡…’à hqà h† ƒˆiyv†urqÃvÃ (#$ÃB‚puh…rx‚Ãr€ƒy‚’rqÇurÀ‚qryÃs‚…Ãuv†Ã…r†rh…puÃvÃ†uv€€’ ‚sà yhqvtà trh…†à DÃ hqqv‡v‚Ã ‡‚à yh‡r…hyà hqà ‡‚…†v‚hyà †‡vssr††r†à qh€ƒvtà uh† irrÃvpyˆqrqÃir‡rrÃp‚‡hp‡Ãƒh‡puÃhqÅv€ÃUurÆvqrÃs‚…prÃhqÃhyvtvtǂ…„ˆr irp‚€rÃr‘ƒ…r††rqÃvÃ‡r…€†Ã‚sÃyh‡r…hyÃqrsyrp‡v‚Ã‰Ãhqǂ…†v‚Ãhtyrà ) ' N Y%F Y \ \ 'N ) à $ #  \ ] %F $ #! Xv‡uÇurÃh††ˆ€ƒ‡v‚Ã‚sÃsˆyyÃhqur†v‚Ã‡urÃs‚yy‚vtÅryh‡v‚Ã€ˆ†‡Ãu‚yqÅrth…qvt ‡urÃqv…rp‡v‚Ã‚sÇurÃh‡uÂsÇurÃp‚‡hp‡Ãƒ‚v‡Ã‚sÇurłyyvtǒ…r) Y % \ GV G % ' à $ #" Srth…qvtÇurÃh‡uÃpˆ…‰h‡ˆ…rÃhÃyvrh…Ãr„ˆh‡v‚Ãv†Ãv‡…‚qˆprq) % G G V ' &T Y & T % T à $ ## D‡r…r†‡vtÃv†Ã‡uh‡ÃFryq’†uÃqvqÇhxrÃv‡‚Ãhpp‚ˆ‡Ã‡urÐurryÃph€ir…Ãhtyrà Ãh†Ãh hqqv‡v‚hyÃvƒˆ‡Ã‰h…vhiyrÃUurDžh†sr…Ãsˆp‡v‚†Ãv‡uÅr†ƒrp‡Ã‡‚à à nà à à hqà irp‚€r) à hq + )  n     S ' F % N 9S \ \ S%T    T  T S %T S%T ! $ #$  IPITU@69`TU6U@ÃTUSDIBÃ76T@9ÃU`S@ÃHP9@GT + T  &S  S %T &T S S ' & F % N 9S S %T S%T ! 0  n    $ #% ! Tˆ…ƒ…v†vty’à v‡Ã ‡ˆ…†Ã ‚ˆ‡Ã ‡uh‡Ã ‡ur†rà ‡…h†sr…à sˆp‡v‚†Ã r‘prƒ‡Ã ‡urà ‚rà v‡u g …r†ƒrp‡Ã‡‚à Ãp‚……r†ƒ‚qǂÇurÃsˆp‡v‚†Ã‚sÃS‚tr…†Ãv‡uà Ã2Ã@„†$ ! " v‡uÃò h€v‡‡rqÃvsÃh†Ã7r††ryvxÃvqvph‡rqÇurÃs‚yy‚vtÃr„ˆv‰hyrprÃp‚qv‡v‚† à u‚yq)à T'   D T ' D% D  F '& ' \ )\ & D% ) F '& '&  0 $ #& Aˆ…‡ur…€‚…rÃp‚€ƒh…v†‚Ãv‡uÇurÃW‚ÃTpuyvƒƒrÃhƒƒ…‚‘v€h‡v‚Ãh‡Ã†‡rhq’Ƈh‡r †u‚†Ã‡uh‡) T ' & &n ) T'  ) & &n ) $ #' ) ur…rÃh†Ãirs‚…rÃ8) Ãqr†vth‡r†Ã‡urÃph€ir…Ãs‚…prƇvssr†† H‚…ryhq¶†Ã€‚qryà Uuv†Ã€‚qryÃsv…†‡Ãƒˆiyv†urqÃvÃ ($#ÃvÃ‡urÃhƒr…óUurƇ‚…’ÂsÆuv€€’´Ȇrqǂ irÃhƒˆyh…Ç‚‚yÃvÃ‡urÃVTÃs‚…ÇurÃhhy’†v†Ã‚sÃhv…p…hs‡Ã†uv€€’ÃUurƇ…ˆp‡ˆ…r v†Ã à †v€vyh…à ‡‚à ‡uh‡Ã ‚sà Fryq’†u¶†Ã €‚qryà Uurà qvssr…rpr†Ã h…rà ‡uh‡)à ‡urà qh€ƒvt p‚rssvpvr‡Ã x à v†Ã ‚€v‡‡rqà hqà €‚…rà v€ƒ‚…‡h‡)à ‡ˆ…Ã †yvƒÃ hqà ph€ir…à h…rà ‚‡ p‚†vqr…rqÃhqÃv†‡rhqÂsÃr„ˆh‡v‚Ã$ ##ÇurÃs‚yy‚vtÅryh‡v‚Ãv†Ãˆ†rq) G G W '&  ) % & \ $ #( ) UurDžh†sr…Ãsˆp‡v‚†Ãv‡uÅr†ƒrp‡Ã‡‚ÇurÆyvƒÃhtyrÇuh‡Ãr…rÃr†‡hiyv†urqÅrhq) N S % N %F ... v‡uƂ€rÃp‚€€r‡†Ã‚Ã‡urv…Ãiruh‰v‚ˆ…ÃA‚…À‚…rÃvs‚…€h‡v‚ÃrÅrsr…Ç‚Çur ‚…vtvhyÈiyvph‡v‚†Ã‚…Ç‚ÇurÃr‘‡r†v‰rÃp‚€ƒh…v‡v‰rƇˆq’ÂsÃ7r††ryvxÃ! IPITU@69`TU6U@ÃTUSDIB? ?76 T@9ÃU`S@ÃHP9@GT !#& Uurà †v€ƒyr†‡Ã €‚qry†)à †‡…hvtu‡Ã ‡htr‡Ã hqà ƒ‚v‡Ã... Fyˆv‡r…†¶Ãhƒƒ…‚‘v€h‡v‚Ãhƒƒrh…†Ã‡‚Ãr‘v†‡ IPITU@69`TU6U@ÃTUSDIB? ?76 T@9ÃU`S@ÃHP9@GT !$ Fyˆv‡r…†¶Ãhƒƒ…‚‘v€h‡v‚ Fyˆv‡r…†Ã (%(ÃpsÃ7r††ryvxÃ!Ãhq‚ƒ‡rqÃhÃQhqpÃsvy‡r…Ç‚Ãhƒƒ…‚‘v€h‡rÇur ƒ‚†v‡v‚Ã‚sÇurDžhvyvtÃrqtrÃUurDžh†sr…Ãsˆp‡v‚Ã‚sÒ!Ðv‡uÅr†ƒrp‡Ã‡‚Ã’... Uuràhvrảyvhtyr '' Y   pyrrurqrpvvtrurvu@$ !& !'' $ "!  IPITU@69`TU6U@ÃTUSDIB? ?76 T@9ÃU`S@ÃHP9@GT 7? ?Ãp‚†vqr…vty’Çr…€†ÃˆƒÃ‡‚ÇurÃsv…†‡Ãqrt…rrÃvÃƒÃ‚sÇurÇ…h†s‚…€rq r„ˆh‡v‚†Ã$