Department of Mechanical Engineering, University of Tabriz, Iran Department of Mechanical Engineering, University of Tabriz, Iran

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1 9 - "#$ ,,, 2&' 0,,&/, -("*,)*+( &' 8 BCD + + = A HOK N = +M 68 6,(8 2 5"6 *+ 2-0 / - + +,- 2-0 / - 8 > = </ 9:; J6KL8 HI, 9U A= 0 +)T K 508 JL QW +A 8 JI P +,: CCK V X TI - * 9' 0-+ :" -& <, = 8 G +A E6F +( R QA AP O CCK V 8 G TI 8 ABAQUSK 6 R V 56 K 0 +A 8 F 56 K A J6: +A RA + 56 = 5U 50 L (A8 0 L N Y V= +A E ( 508 R QA8 + A=- J6K - K 6 JCK X A 56:008 >,( Investigation and Finite Element Analysis of the Welding Effects on the Buckling Behavior of Aluminum Cylindrical Shells under External Hydrostatic Pressure M R Adibeig S Hassanifard Department of Mechanical Engineering, University of Tabriz, Iran Department of Mechanical Engineering, University of Tabriz, Iran Abstract In this paper, experimental of residual stress and distortion generated when welding a and numerical studies were carried out to investigate the welding effects on the buckling behavior of aluminum cylindrical shells under external hydrostatic pressure The cylindrical shell that is made of AL 508 was tested under hydrostatic pressure before and after it was welded Also, the numerical study was done by finite element software code "ABAQUS" Moreover, numerical simulation based on finite element modeling was used to study the influence of welding sequences on the distribution cylindrical shell The simulation consisted of sequentially coupled thermal and structural analyses sequences on the d numerical results were adopted Keywords: Buckling, Welding, Residual Stress, Cylindrical Shell \h +\A >\ 8 \ \ G > +A! " *!- -/&,! $% & '( ) * + " 6/- 0 2! 5 - *! " 08/"! 9: ;%<& 9! ;;= " *!-! BC " -! 9; D 0-! 9; D + " EF 2 ;%G;H ID- I- -/& ID 0! >JK %K ;%- 2 -/& ID - K >JK C;L;& C *H <; 90 * + " & 2'( + OOK V - K N T l []6 T I ik 0f JL 0 m 0 56 JL + +KGU K= _; JY + + :\ +M Z[ +8 G 9; A 8\L N 9:; N6/8 \ \A \ - N 5 6 \ \ N O + = +/P \ \ + + 9U NF)\ \ K]8 6: \ RF\U N\ \ 8 \, +\ +\\ N\ +\ +A8 H\6: +8\ 5\6 J6K\L 5 9P ^_ 9P 5 \ 6c +` 9ab 8 (A= - \ I G 8 A dc_ eu \ \ 6 ZfY b JK E (A T \ \ JcI b 9F]I + 6I e; N G \G J6: b_- Ng N N A \ 5\_ \; f\ J6: a g Eb JK * mradibeig@tabrizuacir : 95/02/ :! 95//8 :()!

2 l < 9Ub=Y_ +` tb_ VO A R +a BCD R A U eu FU F M u :I N8 < t= O + / U J 9b, +/ K O /6: 8 R8 G +` Ns6 -_ = 9- / +8 T= O < 8 J eu / RK8 FU + J b +` N8 ` N + +A RK db +A JK <C RK A +`8 6g RK EA 5 O N [9] +A8 F JI t=8 = G 508 ` 8 [0] 2 EA 508 R` E' ( FGH I *+, C8>*+ J6 I", C@ -D( AL AL [9]+A, [0]508 I *+ >*+ C) $M-2 D( 2650 [kg/m] 2g 50 [ o C] ^h ]O 2 [GPa] a E 2 [W/mK] T 25 E-6 [/K] T w B; B "6 F<- dc_ +_; + 56 []N I CCK 9U +x 8 G c () ] 9U 56 <L V = ( + ) h AL = 2( ) R_;h 56 + AL h + ( + ) K O ] () N -{ F n B; νm E E EY L >F ]I + 56 CCK JL ` > JI <C RK (MPa) +A 8 F <C RK (MPa) +A 8 8 G mm _; 60mm EY 50mm ]K + C= N 56 K O T I () ] [2] 5/6bar + [2] NC c A= - G + O + +J E [] m I eu - K Y 9ab E I 2-8 +( V A= ^: 9ab N A= f: - 6L 20 E P K O J Po []56 56 O N - 6 JCK +K 8 B; 5 U 6 0 N [5] 5 O L U 52 2 Y_ + + T = +O K 56 O O +m JY [6]m A = < A= I -6 +/C [, L = +A C] P O f a - N X T R, (A 56 CU J, O [](6 9KGU - +8 RO P 9U ( BF +8 8 O N = ;6K c/ RK 56 Y ;: O CU r c + I +8 RO + /- < P 9b +8 - X TI B Ns6 F/ a Y_ + X O N ca ;: +8 L -6 O c/ RK EbL i: a E [8]56 (A8 +/: N Tl c 0 5 K Y_ 6 8 JUL +A9G +/A H6: 58 + cp +A, - - N X 5 i: F JI K O N = T I +A 8 O +A 8 F R, l 8 JUL X, 9U 56 K 8 9P QW T O <, JL 56 O + +A ( K residual buckling distortion T I ik BC A8 9P K 6 2

L m+ ;6K R + (A E J 00 EY - _; 6C 50 LY ABAQUS C= ]I 6C +A 9 EY 6C 20+A

$e8 6,&< F<-2- + JL + (Quadratic) A +/6 >8 T 20 6 e8 +A CD20R\68 +A8 L JL$ $JL L \I \ \ +A L JL 9U N J\L (\A E\Y \ \T \, A QW T J\ \ > 6 5 + \ \- +\A$ + - [O 5 6C *,,), I&, -#, ' B 0-P F< - ABAQUS -(" I 56 +A JCK 8 JI J 0-9U

8882 CD20R 6 8 E N 568 JUL c,a e82 J [] T KO - ]6 - X EA 6/2 56 + A T O

rf= <-g 6 +/ Y (A,, -(" *, D -F g 6 +/ ABAQUS,),I&- <,&V,, 0E' D -F

3 L m+ ;6K R + (A E J 00 EY - _; 6C 50 LY ABAQUS C= ]I 6C +A 9 EY 6C 20+A ~: 6C - JI J ]6 Tl OI 0 <O N b_- + 8 (A V= EY (A 2 /6I N8 0 GDCD2068 9L e8 6,&< F<-2- + JL + (Quadratic) A +/6 >8 T 20 6 e8 +A CD20R\68 +A8 L JL X J T - +A EY T 6 +/- J\L `\ N\ \ T G F<-- + T 20 + J\L ( \ \ T R, J 9b JL L \I \ \ +A L JL 9U N J\L (\A E\Y \ \T \, A QW T J\ \ > \ \- +\A 6 +5 e8 +\\ +\\A8 \\ \\, \\[ \\ \\\ \\\ \\\- 6 J\\\ \\\ \\\YK /28 \ \ Y K + - [O 5 6C *,,), I&, -#, ' B 0-P F< - ABAQUS -(" I 56 +A JCK 8 JI J 0-9U R, +)T 2 +8 V T l A= ] 6 T l 6 0 O f 9U K + L +8 A 0 9U K 6 E J G 8882 CD20R 6 8 E N 568 JUL c,a e82 J [] T KO - ]6 - X EA 6/ A T O CCK JL BCL N JL + 56 KO EA 6/2bar JL + 5/6bar CCK JI ]= U N % 0 CCK JL rf= <-g 6 +/ Y (A,, -(" *, D -F g 6 +/ ABAQUS,),I&- <,&V,, 0E' D -F (mm),, 0( &' R' SC6-2F "6 F< ',, B 0-P F< UC C@ - D( rf= % 0 6/2 CCK 5/6 0 0-P F<-,, 8 D--

$0,E' B0-PF<-5 6\ +/- Ns6 +A8 JUL X8 G \O$ $f\ +8\ V\ \ \(A r\y, +\ +8 \A 0\ 9\U \2 6$ $l I A= Y [ 5 e8-8 J J B N\dF; (A ry L -$ $\ N\ +\ 56 9L 9P Ns6 KO -(HAZ) JUL /02 ($

4 -6 +A8 9P K 6 ( o C)0, E',, *V &X6-6F 0,E' B0-PF<-5 6\ +/- Ns6 +A8 JUL X8 G \O f\ +8\ V\ \ \(A r\y, +\ +8 \A 0\ 9\U \ \ 5 K \ -6 +\A8 F 568 A= ] 6 K KO T l I A= Y [ 5 e8-8 J J B N\dF; (A ry L - JL X \\,6 5\\O 8\\ 5\\6 \\L \L N + +A8 \ \ N\ +\ 56 9L 9P Ns6 KO -(HAZ) JUL /02 ( o C) 0 W< -,, --SC6 -F (MPa) 0, E' B 6 SC6-5F

$2 \ 5 \6 N = 8 Q _ 0J J\K \ _\- 0 J \$ $5/6 \\L \\ 6 N\\ \\, \\ + \\: J\\L rf$ [2] *V Y Z ' W *(,-, 0,,, *+ 0,,, [2]

5 ; 6K L m + 0,, B F "6 - R ' (mm),, " [2] -8 F, -, E' B '& 6 &' -6 + A P, l 508 R Q A8 E Z 8 T I 5 8 G = 9 J H Y + A g W 9 b _ N _ = lk NL = /T <,L [ 5 8 N R, = 5 6 N 5 6 g /2bar A = - h 8 R, + I 5 lk 5 8, [2] 2 \ 5 \6 N = 8 Q _ 0J J\K \ _\- 0 J \ \ ] 6 \ \ \ \ \Y ( \A V\= J\K 0 N 2 5/6 \\L \\ 6 N\\ \\, \\ + \\: J\\L rf \\= \ <\-g J\ I \ rf = N U [2]( E A) [2] *V Y Z ' W *(,-, 0,,, *+ 0,,, [2] B - 5-9F -0 F 0,, B F "6 - B 6 SC 6 - F (MPa)

$[2] /02, /2 0 "&' - \ T N ~ +A JL >\$ $\ ry 0 8 gw 9b +A J6: \ \ \ \OI \$ $' 0,, BF"6-- SC6-2 F ( o C) -CY( \CL$ $\ - CY,-C,' 0-- {8 +/6\I \F \ \ <\O$ $5\6 J\CK 5\ e\8 \ e8 + J\ 2 J B +A >$ $\ \ +\A \ 5\6 +\: J\L - \ -/6bar + K$ 8 au /68 0 5 K K Y, -&085H 0-F 0,,

6 0,, B '&6( 0-P F< UC- D( rf= % 5/6 [2] /02, /2 0 "&' - \ T N ~ +A JL >\ \ ry 0 8 gw 9b +A J6: \ \ \ \OI \ \6C 00 : +/ (A +A B2 9: +A KT 6\I N =[ X 9b [ Y = ; +A K A8 9P K 6 ' 0,, BF"6-- SC6-2 F ( o C) -CY( \CL \ - CY,-C,' 0-- {8 +/6\I \F \ \ <\O 6I 2 (A ( N \ +\A \ +/6\I E -2 +A \ 5\6 J\CK 5\ e\8 \ e8 + J\ 2 J B +A > N + +A >\ N\ +\ \[ N\s6 - J +A 0\ ( \ \ +\A \ 5\6 +\: J\L - \ -/6bar + K 6O 5\6 \O \ \gw +\A \O \ \O, 5 U /68 8 au / K K Y, -&085H 0-F 0,, BF"6-B 6SC6- F (MPa) - CY(' Sequence 6

$L m+ ;6K S\@ 0 [ Y( '$ F (mm) - C Y( ' 0,, B

$S\@ 0 [ Y( ' S\@ 0[Y($ $\ +A( N - +A 56 +6 B$ $JUL X J\ e8\ \ \ e\]o$ $5\\ e8\\6-8 J +\\A8 ($ $\, \O \ /bar YK K 56O$ $\\, \\ \\ ( N\ 5\6 \$ $\ N8\ 5 U 6/5 8 +A A=$

7 L m+ ;6K 0 [ Y( ' 0-5F 0,, B F"6 - R' - F (mm) - C Y( ' 0,, B F"6-- SC6-6 F ( o C) S\@ 0 [ Y( ' S\@ 0[Y( ' 0-2- H\] \ <\O 6\I \ +A( N - +A B 5 J ( \ \ +\A \ 56 8 JUL X J\ e8\ \ \ e\]o +\(\A\ +\\ c\\,a J\\ 5\\ e8\\6-8 J +\\A8 ( N\\ \\ \\ X\\ \\ \\A \, \O \ /bar YK K 56O \\ \\gw +\\A8 J\\UL \\, \\ \\ ( N\ 5\6 \ 8\ \ K\O - _-(/02bar) \ N8\ 5 U 6/5 8 +A A= 0- O GT -U 6/5

$(mm) S\@ 0 [ Y( ' - T R, + 0&]-8 JCK$ X O + +AP, 6 +/-P T ƒk T R, + +8 6

$(MPa) S\@ 0 [ Y( ' ' 0 ^_ 08Y( ',&"'$

8 -6 +A8 9P K 6 0,, B F"6 - R' -8 F (mm) S\@ 0 [ Y( ' - T R, + 0&]-8 JCK X O + +AP, 6 +/-P T ƒk T R, cl + + CCK JL K 56O O Ns6 6/2bar JL 5/6bar +A ( +A8 F + K db L /02bar gw GT 2 9: +A8 JI K % 50 O +AP /2bar l + K 56 O, F 56 JL rf= N /- O +AF % 5/ JL8, X +A8 X A _- ; ( +A 56 5O +A K ( JL E 56, K 0,, B F"6 - B 6 SC6 - F (MPa) S\@ 0 [ Y( ' ' 0 ^_ 08Y( ',&"' B ' C@-9F BC+, + 5' '&6 < +A dc_ +(9 J ]6 +A + K 56 O O 8

9 L m+ ;6K 0 +A +/02bar gw /bar e]o +/A +A + /6bar +A K J +8 X JL X O 58, 9-88 S,&-9 [] Timoshenko SP, Gere JM, McGraw-Hill, New York, 96 [2] Klinzmann A, Horst P, 9th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 6th AIAA/ASME/AHS Adaptive Structures Conference, 0th AIAA Non-Deterministic Approaches Conference, 9th AIAA Gossamer Spacecraft Forum, th AIAA Multidisciplinary Design Optimization Specialists Conference, pp 22, 2008 [] Wang J, Koizumi A, Thin-Walled Structures, 8, 89-90, 200 [] Rahimi G, Zandi M, Rasouli S, Aerospace science and technology, 2, 98-20, 20 [5] Ross C, Civil and structural engineering computing: 200, Saxe-Coburg Publications, pp [6] Wang J, Yin X, Murakawa H, Journal of Materials Processing Technology, 2, -٥٨20 [] Khedmati MR, Ghavami K, Thin-Walled Structures,, -86, 2009 [8] Maali M, Showkati H, Fatemi S M, Thin-Walled Structures, 5, -2, 202 [9] Cordray B, 2005 [0] Committee A I H, ASM international, (995) [] Nguyen H LT, Elishakoff I, Nguyen VT, International Journal of Solids and Structures, 6, 6-68, 2009 eu 56 N6,+_ >,X {,6K R [2] 20,: [] Hibbitt K, ABAQUS: User's Manual, Hibbitt, Sorensen K, Incorporated, 99 9

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