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CHPO2=CHPO2 / SCAL1; TSTAT2 . &BCL9=CHPO2; LIST &BCL9; FIN BCL9; * * Base modale finale * TBAS1=TABLE 'BASE_MODALE'; TVEC1=TABLE 'MODES'; TVEC1 . MAILLAGE=TMOD1 . MODES . MAILLAGE; REPETER BCL11 (NSTA1); TVEC1 . &BCL11=TABLE 'MODE'; TVEC1 . &BCL11 . DEFORMEE_MODALE=TSTAT2 . &BCL11; TVEC1 . &BCL11 . POINT_REPERE=(0. 0.); TVEC1 . &BCL11 . FREQUENCE=0.; TVEC1 . &BCL11 . MASSE_GENERALISEE=1.; FIN BCL11; REPETER BCL12 (NMOD1); TVEC1 . (NSTA1 + &BCL12)=TABLE 'MODE'; TVEC1 . (NSTA1 + &BCL12) . DEFORMEE_MODALE=TDYN1 . &BCL12; TVEC1 . (NSTA1 + &BCL12) . POINT_REPERE=(0. 0.); TVEC1 . (NSTA1 + &BCL12) . FREQUENCE=0.; TVEC1 . (NSTA1 + &BCL12) . MASSE_GENERALISEE=1.; FIN BCL12; TBAS1 . MODES=TVEC1; * * Projection des matrices de masse et de rigidite * MASP1=PJBA MAS1 TBAS1; RIGP1=PJBA RIG1 TBAS1; * * Frequence max du systeme reduit * TSTAB1=VIBR 'INTERVALLE' 0. 50000. HAUTE 1 MASP1 RIGP1 'IMPR' 'TBAS'; * * Sauvegarde des donnees pour PLEXUS * NTOT1=NSTA1 + NMOD1; TSORT1=TABLE; REPETER BCL13 (NTOT1); TSORT1 . &BCL13=TBAS1 . MODES . &BCL13 . DEFORMEE_MODALE; FIN BCL13; * OPTI SAUV FORMAT 'doma01.modes'; SAUV FORMAT TOUT TSORT1; * TDON1=TABLE; TDON1 . 1=NSTA1; TDON1 . 2=NMOD1; TDON1 . 3=TSTAB1 . MODES . 1 . FREQUENCE; * OPTI SAUV FORMAT 'doma01.matr'; SAUV FORMAT TDON1 MASP1 RIGP1; * FIN; The input file is: DOMA - 01 *----------------------------------------------------------------------- ECHO !conv win CAST tout *-----------------------------------------------------------Problem type DPLA NONL *-----------------------------------------------------------Dimensioning DIME PT2L 110 CAR4 64 CL2D 10 ZONE 2 TABL 1 4 ECRO 522 FORC 10 MTPO 9 TERM *---------------------------------------------------------------Geometry GEOM CAR4 tout CL2D p21_p22p p23_p24 p31_p32p p33_p34 TERM 6
*--------------------------------------------------Geometric Complements COMP GROU 4 'interf' LECT p21_p22p p23_p24 p31_p32p p33_p34 TERM 'prob1' LECT dom11 dom12 TERM 'prob2' LECT dom21 dom22 p21_p22p p23_p24 TERM 'prob3' LECT dom31 dom32 p31_p32p p33_p34 TERM NGRO 4 'tpln' LECT p1 r1 s1 p2 r2 s2 p3 r3 s3 TERM 'char1' LECT p23_p24p p33_p34p TERM 'char2' LECT p13_p14p TERM 'bloqa' LECT p11_p12 p21_p22 p31_p32 TERM COUL turq LECT prob1 TERM rose LECT prob2 TERM vert LECT prob3 TERM *----------------------------------------------------------Material data MATE LINE RO 7800. YOUN 210.E9 NU 0.3 LECT tout TERM FANT 0. LECT interf TERM *--------------------------------------------------------Applied "loads" CHAR 1 FACT 2 FORC 2 1.E7 LECT char1 TERM FORC 2 0.75E7 LECT char2 TERM TABL 2 0.0 1.0 1.0 1.0 *----------------------------------------------------Boundary conditions LINK COUP BLOQ 12 LECT bloqa TERM *----------------------------------------------------------------Outputs ECRI DEPL TFRE 4D-3 NOEL POIN LECT tpln TERM FICH ALIC TEMP TFREQ 0.2D-3 POIN LECT tpln TERM ELEM LECT 1 TERM FICH ALIC FREQ 8 *----------------------------------------------------------------Options OPTI CSTA 0.5 LOG 1 *---------------------------------------------------Domain decomposition STRU 6 DOMA LECT dom11 TERM IDEN 91 DOMA LECT dom12 TERM IDEN 92 DOMA LECT dom21 p21_p22p TERM IDEN 93 DOMA LECT dom22 p23_p24 TERM IDEN 94 DOMA LECT dom31 p31_p32p TERM IDEN 95 MODA LECT dom32 p33_p34 TERM IDEN 96 FICH FORM 9 POST TOUS $ $--- Attention : pour les BENCHs, le fichier des modes est concatené au $ fichier maillage. D'ou la valeur 9, qui est la valeur par $ defaut du fichier maillage, affectée au fichier des modes. $ Ce fait vient du fait que l'atelier logiciel ne peut gérer $ pour l'instant que 2 fichiers input $ $ POUR LES CALCULS STANDARDS : ces deux fichiers DOIVENT ETRE SEPARES !!! $ Il faut donner un numero logique différent de 9 (unité logique par défaut $ du fichier maillage) $ Si ce numero n'est pas donné, Europlexus l'affectera le numero 50 $ et l'extension par defaut du fichier est '.mod' $ INTE 3 COMP TOLE 0.001 DOMA 91 LECT p11_p12p TERM DOMA 92 LECT p13_p14 TERM OPTI DOMA 93 LECT p21_p22p TERM DOMA 94 LECT p23_p24 TERM MORT DOMA 96 LECT p33_p34 TERM DOMA 95 LECT p31_p32p TERM *--------------------------------------------------Transient calculation CALC TINI 0. TFIN 40.E-3 *=========================================================POST-TREATMENT SUIT Post-treatment ECHO RESU ALIC TEMP GARD PSCR SORT GRAP 7
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European Laboratory for Structural
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Proceedings of a Course on: Numeric
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Programme of the Course 1. Introduc
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Credits & Acknowledgments • Struc
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Introductory Example (4) 7 Applicat
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x Computational Framework • Gover
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n+ 1 n ∆t n n+ 1 u = u + ( u + u
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Scheme start-up and marching (2)
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Stress Update • To solve the equi
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Geometric non-linearities (3) Set u
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Essential Boundary Conditions Essen
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Exercise 0 - Ideal ballistics • M
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Exercise 0 - Ideal ballistics (5)
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Exercise 1 - Suspended mass (3) •
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Exercise 1 - Suspended mass (7) •
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Exercise 2 - Wave propagation (4)
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Exercise 3 - Impact on Cooling Towe
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TITLE: PMAT04: motion of projectile
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sinon; tra2 = tra2 et ele; finsi; f
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Some results: horizontal and vertic
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PMAT01E This test is similar to PMA
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Hence: 11 −8 ES 2× 10 ⋅ 2.5×
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The stress history is: Note that th
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Analytical TEST11 Same as TEST01 bu
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Comparison of natural vs. engineeri
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The total external forces at the tw
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TEST13 Same as TEST01 but uses a 10
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The mass returns at the initial pos
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TEST22 To verify the independence o
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Linear dynamic analysis Consider th
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• The two waves f and g propagate
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Analytical solution For the bar imp
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Note that we have also put the Pois
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BARI08 We study the effect of the t
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ENDPLAY *==========================
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BARI10 Same as BARI09 but compares
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The system is initially at rest, an
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CAST MESH TRID NONL LAGR $ $ Dimens
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Final deformation (with superposed
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Detailed Contents • Modeling the
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Modeling the fluid domain • The f
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Euler equations (3) • For a compr
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Time integration Each time incremen
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Time integration (5) 10. Account fo
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Euler Equations (FV) • They are w
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Mesh rezoning - motivations • Rez
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Giuliani’s automatic rezoning •
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• Analytical solution (self-simil
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Shock tube (6) • Influence of pse
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Exercise 2 - Explosion in air-fille
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Exercise 3 - Bubble expansion in a
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Exercise 4 - External blast on two
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Geometric data: The calculation is
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SHOC01 Eulerian, “average” pseu
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COUR 7 'ro_a' ECRO COMP 2 ELEM LECT
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Analytical Conclusion: the pseudo-v
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SHOC13 Eulerian, very low pseudo-vi
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Analytical General conclusions: •
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The inverse path is not so straight
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The input files (mesh generation by
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Geometric data: The calculation is
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COUR 1 'dx_4' DEPL COMP 1 NOEU LECT
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TANK02 Eulerian solution: the whole
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The final pressure distribution is:
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TUBE06 Lagrangian solution: the who
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And the final velocity distribution
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The computed displacements are: To
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43 30 30 43 44 31 31 44 45 32 32 45
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Geometric data: External blast in a
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abs4 = dall (p4 d 28 p4u) (p4u d 40
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Geometric data: Internal blast in a
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air = air1 ET air2 ET air3 ET air4
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COURBE 8 'P e_p12' ECROU COMP 1 lec
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3D axisymmetric simulation: JWLS3G
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point lect 1 term elem lect 1 term
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Universitat Politècnica de Catalun
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• Motivation Detailed Contents
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FSI Classification FSI for compress
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The 2-D plane case (2) Use geometri
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Classification of FSI algorithms
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The FSA algorithm (4) The case of s
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The FSCR algorithm Combination of F
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Application to Finite Volumes (3) 2
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Exercise 2 - Explosions in simple d
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Exercise/Example 3 - Wave propagati
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Exercise/Example 4 - CONT problem (
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Exercise/Example 5 - Explosion in a
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Exercise/Example 6 : Woodward-Colel
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Geometry: Exercise/Example 8 Steam
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Exercise/Example 9 Explosion in Sec
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Exercise/Example 9 Explosion in Sec
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Boundary Condition Elements: CLxx (
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Exercise/Example 11 - Perforated Pl
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Exercise/Example 12 - Sloshing (3)
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DIME PT3L 23 PT2L 143 FL24 145 ED01
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The final pressure field in the flu
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ALE solution with FSA: it is not po
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120 119 138 139 121 120 139 140 122
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and the final velocity field: The s
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The final velocities: The final liq
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*----------------------------------
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TWIS07 We study the phenomenon by a
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This is a well-known reactor safety
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1.53330E+00 1.32310E+01 1.15000E+00
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200 199 239 240 200 200 200 240 241
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*----------------------------------
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The final fluid pressures: CONT02 T
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The final fluid velocities: The fin
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This example consists in a long 3D
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GEOM FL38 flui Q4GS stru TERM COMP
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Detail of first diaphragm: Detail o
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BOUNDARY CONDITIONS: The step is en
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The EUROPLEXUS input file reads: WO
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WOCO3D The mesh generation file (K2
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* RESU ALIC GARD PSCR * SORT GRAP *
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PT3L 16389 PT6L 504 NBLE 16389 NALE
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Final pressure distribution: 4
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BOUNDARY CONDITIONS: The vessel is
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as01=daller c1 c2 c3 c4 plan; * c1=
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*trac oeil cach fluidstr; *opti don
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cam3=cam31 et cam32; camb=cam1 et c
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log 1 dtml REZO GAM0 0.5 FLMP EPS1
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Final structure deformation: Final
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LOADING: The event is initiated by
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FLUT RO .242777373 EINT 6.865E5 GAM
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Final structure velocities: 6
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RESULTS: A paper by Bermudez and Ro
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The applied displacement and the co
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PROBLEM: A rigid tank with a deform
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The EUROPLEXUS input file reads: GR
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PROBLEM: A rigid tank with rigid or
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COMP EPAI 0.005 LECT 101 102 103 10
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Numerical Solution (flexible bottom
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! VARI DEPL VITE ECRO ! fich alic t
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The final pressures in the rigid an
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LOADING: A constant gravity in the
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Some results: intermediate and fina
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Universitat Politècnica de Catalun
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ALE description of structures (2)
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Example 1 - Taylor bar impact (3) B
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Example 3 - Coining (3) Influence o
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• Tentative classification: Non-c
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Example 4 - Explosion in a 2D box (
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Example 6 - LOCA in the HDR (2) A -
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Examples of “Slow” Transient Co
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Examples of Fast Transient Impact
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Components of Contact-Impact Method
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Shortcomings • Slender or distort
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Example - Bar impact • (See Part
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Example 7b - Indentation (2) • 2D
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Example 7b - Indentation (6) • 3D
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Smoothed Particles Hydrodynamics (C
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SPH Formulation (2) • Basic idea:
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SPH impact [Courtesy of Samtech/Son
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PRGL01: Example 8 - SPH impacts (Co
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Spectral Elements • Motivation: l
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Spectral Elements (5) Convergence p
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Example 9 - Closed FE/SE interface
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Example 11 - Cylindrical valley 85
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Performance Optimization • All ex
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Time Step Partitioning (4) • Intr
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Time Step Partitioning (8) • Acti
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Treatment of links in partitioning
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Example 12a - Taylor bar impact rev
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Coupling at the Interfaces • Two
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Coupling at the Interfaces (5) MU T
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Coupling at the Interfaces (9) Time
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Multiple scales in time (3) • Exp
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Multiple scales in space • Furthe
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Multiple scales in frequency • So
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Example: power plant 133 Example: p
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Example: aircraft (3) Thanks to CPU
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Example 14 - Domains in 3D • Thic
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Example 15 - Bar Impact Revisited (
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* mesh=stru et symax et viti et lil
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The displacements are: 4
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c2=p1 d 8 p2; c3=p2 d 20 p3; c4=p3
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The resulting final deformed mesh w
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TERM *-----------------------------
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Geometric data and materials: The b
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BET0 1 KINT 0 AHGF 0 CL 0.5 CQ 2.56
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INFS02 We use a twice finer fluid m
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FREQ 1 GOTR LOOP 60 OFFS FICH AVI C
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Problem description: This example i
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*----------------------------------
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The final velocities: The final for
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*----------------------------------
Page 410 and 411: The final deformed mesh is: The fin
Page 412 and 413: pc = 4.5 -1 -1.5; pd = 5.5 -1 -1.5;
Page 414 and 415: The initial configuration (with par
Page 417 and 418: TITLE: Indentation problem. PROBLEM
Page 419 and 420: cp = p0 d 10 p13; elim tol (piece e
Page 421 and 422: The final velocities: The final dis
Page 423 and 424: The input file is: INDE - 13 ECHO !
Page 425 and 426: The final displacement norm: The fi
Page 427 and 428: elim tol (piece et cp); c_p = piece
Page 429 and 430: The final deformed shape is: 13
Page 431 and 432: Numerical Solutions PRGL01 Simplifi
Page 433 and 434: FOV 2.48819E+01 SCEN GEOM NAVI FREE
Page 435 and 436: ROMA01 Final plastic streen in the
Page 437 and 438: SONA01 7
Page 439: Final density in the projectile: Fi
Page 442 and 443: opti echo 0; opti donn 'D:\Users\Fo
Page 444 and 445: * opti dime 2 elem qua4; p0 = 0 0;
Page 446 and 447: The final X-displacement in the hyb
Page 448 and 449: * opti dime 2 elem qua4; opti titr
Page 450 and 451: VALLPS This calculation assumes a p
Page 452 and 453: The receiver signal in the coupled
Page 455 and 456: Problem description: This example r
Page 457 and 458: CALC TINI 0. TFIN 40.E-3 *=========
Page 459: REPETER BCL2 (2); REPETER BCL3 (2);
Page 463 and 464: The tip displacement in the referen
Page 467 and 468: LOG 1 DPSD *-----------------------
Page 469 and 470: TRAC CACH OEIL2 ZONE1; TRAC CACH OE
Page 471 and 472: The tip displacement in the referen
Page 475 and 476: $ INIT VITE 2 -227. LECT VITI TERM
Page 477 and 478: * AXTE 1000.0 'Time [ms]' * COUR 1
Page 479 and 480: sq41=sq41 coul 'TURQ'; sq42=sq42 co
Page 481 and 482: The displacements in the case with
Page 485 and 486: European Commission DG Joint Resear
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