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  1. * MRCFRAM3  PROCEDUR  BP208322  20/05/05    21:15:02     10601          
  2. DEBPROC MRCFRAM3 TYP_CAL2*'MOT     '
  3.    TAB_IN2*'TABLE' TOL_2*'FLOTTANT';
  4. *
  5. * --------------------------------------------------------
  6. *  Procedure FRCFRAM3
  7. *    Procedure appelee par MRCFRAME pour le calcul de la marge sismique 
  8. *    d'element frame type POUTRE COURTE
  9. *
  10. *  Developpers:
  11. *    Alberto FRAU
  12. *    DEN/DANS/DM2S/SEMT/EMSI
  13. *    Nicolas ILE
  14. *    DEN/DANS/DM2S/SEMT/EMSI
  15. *    Giulia DI STEFANO
  16. *
  17. *
  18. *  LAM1 = MRCFRAM3 MOT1 TAB1 TOL1;
  19. *
  20. *
  21. *  INPUT:
  22. *
  23. *    MOT1 [MOT] afin de specifier le type de calcul:
  24. *              'ELLIPSOIDE' calcul des marges avec l'enveloppe 
  25. *                           ellipsiodale
  26. *              'RECTANGLE' calcul des marges avec l'enveloppe 
  27. *                           prismatique
  28. *
  29. *    TAB1 type TABLE pour definir les donnes suivantes:
  30. *         TAB1.'BASE_Y1'   dimension section direction Y en m [FLOTTANT]
  31. *         TAB1.'BASE_Z1'   dimension section direction Z en m [FLOTTANT]
  32. *         TAB1.'LONG_Y1'   longuer ly [FLOTTANT]
  33. *         TAB1.'LONG_Z1'   longuer lz [FLOTTANT]
  34. *         TAB1.'ENROBA1'   enrobage en m [FLOTTANT]
  35. *         TAB1.'ACADRY1'   aire de l'armature transversale 
  36. *                                   direction y en m2 [FLOTTANT]
  37. *         TAB1.'ACADRZ1'   aire de l'armature transversale 
  38. *                                   direction z en m2 [FLOTTANT]
  39. *         TAB1.'S_CADR1'   espacement des cadres en 
  40. *                                                    m  [FLOTTANT]
  41. *         TAB1.'LI_PHI1'   LISTREEL des diam barres d'acier en mm
  42. *         TAB1.'PY_PHI1'   LISTREEL de la position y en m de 
  43. *                                   chaque barre par rapport au 
  44. *                                   baricentre de la section
  45. *         TAB1.'PZ_PHI1'  LISTREEL de la position z en m de 
  46. *                                   chaque barre par rapport au 
  47. *                                   baricentre de la section 
  48. *         TAB1.'E_ACIE1'   Module Young acier [FLOTTANT]
  49. *         TAB1.'EP_BET1'   deformation ultime beton [FLOTTANT]
  50. *         TAB1.'EP_ACI1'   deformation ultime acier [FLOTTANT]
  51. *         TAB1.'OM_SY1'    omega_s_y [FLOTTANT]
  52. *         TAB1.'OM_SZ1'    omega_s_z [FLOTTANT]
  53. *         TAB1.'OM_WZ1'    omega_w_y [FLOTTANT]
  54. *         TAB1.'OM_WY1'    omega_w_z [FLOTTANT]
  55. *         TAB1.'LAMB_Y1'   lambda_y [FLOTTANT]
  56. *         TAB1.'LAMB_Z1'   lambda_y [FLOTTANT]
  57. *         TAB1.'CHI_Z1'    chi_z [FLOTTANT]
  58. *         TAB1.'CHI_Y1'    chi_y [FLOTTANT]
  59. *         TAB1.'EFFX0'     EFFX statique [FLOTTANT]
  60. *         TAB1.'EFFY0'     EFFY statique [FLOTTANT]
  61. *         TAB1.'EFFZ0'     EFFZ statique [FLOTTANT]
  62. *         TAB1.'MOMX0'     MOMX statique [FLOTTANT]
  63. *         TAB1.'MOMY0'     MOMY statique [FLOTTANT]
  64. *         TAB1.'MOMZ0'     MOMZ statique [FLOTTANT]
  65. *         TAB1.'NNNN1'     (EFFX)2 - matrice X seisme [FLOTTANT]
  66. *         TAB1.'NNVY1'     Cov EFFX et EFFY -matrice X seisme [FLOTTANT]
  67. *         TAB1.'NNVZ1'     Cov EFFX et EFFZ -matrice X seisme [FLOTTANT]
  68. *         TAB1.'NNMT1'     Cov EFFX et MOMX -matrice X seisme [FLOTTANT]
  69. *         TAB1.'NNMY1'     Cov EFFX et MOMY -matrice X seisme [FLOTTANT]
  70. *         TAB1.'NNMZ1'     Cov EFFX et MOMZ -matrice X seisme [FLOTTANT]
  71. *         TAB1.'VYVY1'     (EFFY)2 - matrice X seisme [FLOTTANT]
  72. *         TAB1.'VYVZ1'     Cov EFFY et EFFZ -matrice X seisme [FLOTTANT]
  73. *         TAB1.'VYMT1'     Cov EFFY et MOMX -matrice X seisme [FLOTTANT]
  74. *         TAB1.'VYMY1'     Cov EFFY et MOMY -matrice X seisme [FLOTTANT]
  75. *         TAB1.'VYMZ1'     Cov EFFY et MOMZ -matrice X seisme [FLOTTANT]
  76. *         TAB1.'VZVZ1'     (EFFZ)2 - matrice X seisme [FLOTTANT]
  77. *         TAB1.'VZMT1'     Cov EFFZ et MOMX -matrice X seisme [FLOTTANT]
  78. *         TAB1.'VZMY1'     Cov EFFZ et MOMY -matrice X seisme [FLOTTANT]
  79. *         TAB1.'VZMZ1'     Cov EFFZ et MOMZ -matrice X seisme [FLOTTANT]
  80. *         TAB1.'MTMT1'     (MOMX)2 - matrice X seisme [FLOTTANT]
  81. *         TAB1.'MTMY1'     Cov MOMX et MOMY -matrice X seisme [FLOTTANT]
  82. *         TAB1.'MTMZ1'     Cov MOMX et MOMZ -matrice X seisme [FLOTTANT]
  83. *         TAB1.'MYMY1'     (MOMY)2 - matrice X seisme [FLOTTANT]
  84. *         TAB1.'MYMZ1'     Cov MOMY et MOMZ -matrice X seisme [FLOTTANT]
  85. *         TAB1.'MZMZ1'     (MOMZ)2 - matrice X seisme [FLOTTANT]
  86. *         TAB1.'FCD1'      fcd du beton [FLOTTANT]
  87. *         TAB1.'FSD1'      fsd du acier [FLOTTANT]
  88. *
  89. *    TOL1     Tolerance du calcul (1.e-4)
  90. *
  91. *
  92. *  OUTPUT:
  93. *
  94. *
  95. *    LAM1     Marge sismique
  96. *
  97. *
  98. *                   
  99. * --------------------------------------------------------
  100. *
  101. *
  102. * Input Phase
  103. BASE_Y1 = TAB_IN2.'BASE_Y1';
  104. BASE_Z1 = TAB_IN2.'BASE_Z1';
  105. LONG_Y1 = TAB_IN2.'LONG_Y1';
  106. LONG_Z1 = TAB_IN2.'LONG_Z1';
  107. ENROBA1 = TAB_IN2.'ENROBA1';
  108. ACADRY1 = TAB_IN2.'ACADRY1';
  109. ACADRZ1 = TAB_IN2.'ACADRZ1';
  110. S_CADR1 = TAB_IN2.'S_CADR1';
  111. LI_PHI1 = TAB_IN2.'LI_PHI1';
  112. PY_PHI1 = TAB_IN2.'PY_PHI1';
  113. PZ_PHI1 = TAB_IN2.'PZ_PHI1';
  114. E_ACIE1 = TAB_IN2.'E_ACIE1';
  115. EP_BET1 = TAB_IN2.'EP_BET1';
  116. EP_ACI1 = TAB_IN2.'EP_ACI1';
  117. OM_SY1  = TAB_IN2.'OM_SY1';
  118. OM_SZ1  = TAB_IN2.'OM_SZ1';
  119. OM_WZ1  = TAB_IN2.'OM_WZ1';
  120. OM_WY1  = TAB_IN2.'OM_WY1';
  121. LAMB_Y1 = TAB_IN2.'LAMB_Y1';
  122. LAMB_Z1 = TAB_IN2.'LAMB_Z1';
  123. CHI_Z1  = TAB_IN2.'CHI_Z1';
  124. CHI_Y1  = TAB_IN2.'CHI_Y1';
  125. EFFX0   = TAB_IN2.'EFFX0';
  126. EFFY0   = TAB_IN2.'EFFY0';
  127. EFFZ0   = TAB_IN2.'EFFZ0';
  128. MOMX0   = TAB_IN2.'MOMX0';
  129. MOMY0   = TAB_IN2.'MOMY0';
  130. MOMZ0   = TAB_IN2.'MOMZ0';
  131. NNNN1   = TAB_IN2.'NNNN1';
  132. NNVY1   = TAB_IN2.'NNVY1';
  133. NNVZ1   = TAB_IN2.'NNVZ1';
  134. NNMT1   = TAB_IN2.'NNMT1';
  135. NNMY1   = TAB_IN2.'NNMY1';
  136. NNMZ1   = TAB_IN2.'NNMZ1';
  137. VYVY1   = TAB_IN2.'VYVY1';
  138. VYVZ1   = TAB_IN2.'VYVZ1';
  139. VYMT1   = TAB_IN2.'VYMT1';
  140. VYMY1   = TAB_IN2.'VYMY1';
  141. VYMZ1   = TAB_IN2.'VYMZ1';
  142. VZVZ1   = TAB_IN2.'VZVZ1';
  143. VZMT1   = TAB_IN2.'VZMT1';
  144. VZMY1   = TAB_IN2.'VZMY1';
  145. VZMZ1   = TAB_IN2.'VZMZ1';
  146. MTMT1   = TAB_IN2.'MTMT1';
  147. MTMY1   = TAB_IN2.'MTMY1';
  148. MTMZ1   = TAB_IN2.'MTMZ1';
  149. MYMY1   = TAB_IN2.'MYMY1';
  150. MYMZ1   = TAB_IN2.'MYMZ1';
  151. MZMZ1   = TAB_IN2.'MZMZ1';
  152. FCD1    = TAB_IN2.'FCD1';
  153. FSD1    = TAB_IN2.'FSD1';
  154. *
  155. ENR1 = ENROBA1;
  156. *
  157. NLIMC1 = (-1.0 - OM_SY1)*(((BASE_Y1)*(BASE_Z1))*(FCD1));
  158. NLIMT1 = (OM_SY1)*(((BASE_Y1)*(BASE_Z1))*(FCD1));
  159. *
  160. *  Static Point 
  161. TINI1                     = TABLE;
  162. TINI1.'TYPE'              = CHAINE 'PT_COURT';
  163. TINI1.'NN'                = EFFX0;
  164. TINI1.'VY'                = EFFY0;
  165. TINI1.'VZ'                = EFFZ0;
  166. TINI1.'MT'                = MOMX0;
  167. TINI1.'MY'                = MOMY0;
  168. TINI1.'MZ'                = MOMZ0;
  169. TINI1.'BY'                = BASE_Y1;
  170. TINI1.'BZ'                = BASE_Z1;
  171. TINI1.'FCD'               = FCD1;
  172. TINI1.'FSD'               = FSD1;
  173. TINI1.'WSY'               = OM_SY1;
  174. TINI1.'WSZ'               = OM_SZ1;
  175. TINI1.'WWY'               = OM_WY1;
  176. TINI1.'WWZ'               = OM_WZ1;
  177. TINI1.'LY'                = LAMB_Y1;
  178. TINI1.'LZ'                = LAMB_Z1;
  179. TINI1.'XIY'               = CHI_Y1;
  180. TINI1.'XIZ'               = CHI_Z1;
  181. TINI1.'PHI_LON'           = LI_PHI1;
  182. TINI1.'PHI_Y'             = PY_PHI1;
  183. TINI1.'PHI_Z'             = PZ_PHI1;
  184. TINI1.'EPSI_BET'          = EP_BET1;
  185. TINI1.'EPSI_ACI'          = EP_ACI1;
  186. TINI1.'YOUNG_ACIER'       = E_ACIE1;
  187. *
  188. *
  189. 'SI' ('EGA' TYP_CAL1 'ELLIPSOIDE');
  190. *
  191. *-------------------------------------------------------------
  192. *   Methode Ellipse
  193. *
  194. * Test about the static state stress
  195.   T_ST1 = G_ULTIFR TINI1;
  196. *
  197.   'SI' (T_ST1 '<EG' 0.0);
  198.     LAM_FIN1 = 0.0;
  199.     TIT1 = 'CHAINE' '  Element ' I_IE1 ' Lambda=' 
  200.                     LAM_FIN1 '.....Sig0 externe';
  201.     'MESS' TIT1;
  202.   'SINON';
  203.     MAI1 = 0. 0. 0.;
  204. *
  205. *   Matrix X
  206.     MATX1 = VIDE 'RIGIDITE'/'RIGIDITE';
  207.     MATX1 = MATX1 'ET' ('MANU' 'RIGIDITE' MAI1 (MOTS 'UY' 'UZ')
  208.           ('PROG' VZVZ1 NNVZ1
  209.                   NNVZ1 NNNN1));
  210. *
  211. *   Static state stress
  212.     EF_ST0 = 'MANU' 'CHPO' MAI1 2 'FY' EFFZ0 'FZ' EFFX0;
  213.     EF_ST0 = 'CHAN' 'ATTRIBUT' EF_ST0 'NATURE' 'DISCRET';
  214. *
  215. *
  216. *   Initial Vecteur
  217.     ALP_0 =  'MANU' 'CHPO' MAI1 2 'UY' 2.0 'UZ' 2.0;     
  218.     XALP_0 = (MATX1*ALP_0)/(('XTMX' MATX1 ALP_0)**(0.5));
  219.     XALP_0 = ('CHAN' ATTRIBUT XALP_0 NATURE DISCRET) + EF_ST0;
  220. *
  221. *       direction used for the ellispoide methode
  222.     TB_DIR = 'TABLE';
  223.     TB_DIR. 1 = 'MANU' 'CHPO' MAI1 2 'UY'  1.0 'UZ'  0.0;
  224.     TB_DIR. 2 = 'MANU' 'CHPO' MAI1 2 'UY'  0.0 'UZ'  1.0;
  225.     TB_DIR. 3 = 'MANU' 'CHPO' MAI1 2 'UY'  -1.0 'UZ'  0.0;
  226.     TB_DIR. 4 = 'MANU' 'CHPO' MAI1 2 'UY'  0.0 'UZ'  -1.0;
  227. *
  228.     SB0 =    ('XTX' (XALP_0 - EF_ST0))**(0.5);
  229.     RB0 =     SB0;
  230.     LAMB0 =   RB0/SB0;
  231. *
  232. *   incremental step
  233.     H_VAL1 = (SB0)/(100000.0);
  234.     H_VAL2 = (SB0)/(100000.0);
  235. *  
  236. *   variable for the convergence test
  237.     ID1_CON = 0;
  238. *
  239. * loop for each direction
  240.     I_K1 = 1;
  241.     'REPE' IND3 (4);
  242. *
  243.       TAB_ITE = 'TABLE';
  244.       TAB_ITE. 0 = 'TABLE';
  245.       TAB_ITE. 0 . 'ALPA' = ALP_0;
  246.       TAB_ITE. 0 . 'LAMBDA' = LAMB0;
  247.       TAB_ITE. 0 . 'RB' = RB0;
  248. *
  249.       ALP_K = (TB_DIR. I_K1);
  250.       I_M1 = 1;
  251. *     first loop in order to have n_elllips=n_limite
  252.       'REPE' IND2 (200);
  253. *       sauving Lambda for j iteraction
  254.         TAB_ITE. I_M1 = 'TABLE';
  255.         TAB_ITE. I_M1 . 'ALPA' = ALP_K;
  256. *       determination of the stress state for the chosen direction
  257.         XALP_J = (MATX1*ALP_K)/(('XTMX' MATX1 ALP_K)**(0.5));
  258.         XALP_J = ('CHAN' ATTRIBUT XALP_J NATURE DISCRET) + EF_ST0;
  259. *       nomalisez vector of hte rayon of the ellipsoide for the 
  260. *       chosen direction
  261.         SBJ = ('XTX' (XALP_J - EF_ST0))**(0.5);
  262.         BJ = (XALP_J - EF_ST0)/(SBJ);
  263. *       rayon of the ellipsoide for the chosen direction
  264.         RBVAL1 = (TAB_ITE.(I_M1 - 1). 'RB');
  265. *       second loop in order to have f=0
  266.         I_I1 = 1;
  267.         'REPE' IND1 (200);
  268. *         strees state x0, x0+h, x0-h
  269.           VV1 = (RBVAL1 + H_VAL1)*(BJ);
  270.           VV2 = (RBVAL1 - H_VAL1)*(BJ);
  271.           VV3 = (RBVAL1)*(BJ);
  272.           VV1 = ('CHAN' 'ATTRIBUT' VV1 'NATURE' 'DISCRET') + EF_ST0;
  273.           VV2 = ('CHAN' 'ATTRIBUT' VV2 'NATURE' 'DISCRET') + EF_ST0;
  274.           VV3 = ('CHAN' 'ATTRIBUT' VV3 'NATURE' 'DISCRET') + EF_ST0;
  275.           TINIA1 = 'COPI' TINI1;
  276.           TINIB1 = 'COPI' TINI1;
  277.           TINIC1 = 'COPI' TINI1;
  278.           TINIA1.'NN'                = EXTR VV1 'FZ' MAI1;
  279.           TINIA1.'VY'                = 0.0;
  280.           TINIA1.'VZ'                = EXTR VV1 'FY' MAI1;
  281.           TINIA1.'MT'                = 0.0;
  282.           TINIA1.'MY'                = 0.0;
  283.           TINIA1.'MZ'                = 0.0;
  284.           TINIB1.'NN'                = EXTR VV2 'FZ' MAI1;
  285.           TINIB1.'VY'                = 0.0;
  286.           TINIB1.'VZ'                = EXTR VV2 'FY' MAI1;
  287.           TINIB1.'MT'                = 0.0;
  288.           TINIB1.'MY'                = 0.0;
  289.           TINIB1.'MZ'                = 0.0;
  290.           TINIC1.'NN'                = EXTR VV3 'FZ' MAI1;
  291.           TINIC1.'VY'                = 0.0;
  292.           TINIC1.'VZ'                = EXTR VV3 'FY' MAI1;
  293.           TINIC1.'MT'                = 0.0;
  294.           TINIC1.'MY'                = 0.0;
  295.           TINIC1.'MZ'                = 0.0;
  296.           'OUBL' VV1;
  297.           'OUBL' VV2;
  298.           'OUBL' VV3;
  299.           F_VAL1 = G_ULTIFR TINIC1;
  300.           D_VAL1 = ((G_ULTIFR TINIA1) - (G_ULTIFR TINIB1))/
  301.                                                ((2.0)*(H_VAL1));
  302.  
  303. *          MESS '-------------------------';
  304. *          LIST F_VAL1;
  305. *          LIST D_VAL1;
  306. *          LIST (TINIC1.'VZ');
  307. *          LIST (TINIC1.'NN');
  308. *          SI (I_I1 EGA 8);
  309. *            ERRE 5;
  310. *          FINSI;
  311. *         controle
  312.           'SI' ((('ABS'(F_VAL1)) '<' TOL_1) 'OU' (I_I1 'EGA' 199));
  313.             RBJ = RBVAL1;
  314.             'QUIT' IND1;
  315.           'SINON';
  316.             'SI' (('ABS'(D_VAL1)) < 1.E-12);
  317.               'SI' (((ABS(TINIC1.'VZ')) '<' ((TOL_1)*(1.E-4))));
  318.                 'SI' (((TINIC1.'NN') '<' NLIMC1));
  319.                   RBVAL2 = RBVAL1;
  320.                   RBVAL1 = ((NLIMC1) - 
  321.                            (EXTR EF_ST0 'FZ' MAI1))/
  322.                           (EXTR BJ 'FZ' MAI1);
  323.                 'SINON';
  324.                   'SI' (((TINIC1.'NN') '>' NLIMT1));
  325.                     RBVAL2 = RBVAL1;
  326.                     RBVAL1 = ((NLIMT1) - 
  327.                              (EXTR EF_ST0 'FZ' MAI1))/
  328.                             (EXTR BJ 'FZ' MAI1);
  329.                   'FINSI';
  330.                 'FINSI';
  331.                 'SI' ((((TINIC1.'NN') '>EG' NLIMC1))
  332.                  'ET' (((TINIC1.'NN') '&lt;EG' NLIMT1)));
  333.                   'SI' ((EXTR ALP_K MAI1 'UZ') '<' 0.0);
  334.                     RBVAL2 = RBVAL1;
  335.                     RBVAL1 = ((NLIMC1) - 
  336.                            (EXTR EF_ST0 'FZ' MAI1))/
  337.                           (EXTR BJ 'FZ' MAI1);
  338.                   'SINON';
  339.                     RBVAL2 = RBVAL1;
  340.                     RBVAL1 = ((NLIMT1) - 
  341.                              (EXTR EF_ST0 'FZ' MAI1))/
  342.                             (EXTR BJ 'FZ' MAI1);
  343.                   'FINSI';
  344.                 'FINSI';
  345.               'SINON';
  346.                 'SI' (((TINIC1.'NN') '<' 0.0));
  347.                   RBVAL2 = RBVAL1;
  348.                   RBVAL1 = ((NLIMC1) - 
  349.                             (EXTR EF_ST0 'FZ' MAI1) +  
  350.                                              ((NLIMT1)*(TOL_1)))/
  351.                         (EXTR BJ 'FZ' MAI1);
  352.                 'SINON';
  353.                   'SI' (((TINIC1.'NN') '>EG' 0.0));
  354.                     RBVAL2 = RBVAL1;
  355.                     RBVAL1 = ((NLIMT1) - 
  356.                               (EXTR EF_ST0 'FZ' MAI1) -  
  357.                                              ((NLIMT1)*(TOL_1)))/
  358.                             (EXTR BJ 'FZ' MAI1);
  359.                   'FINSI';
  360.                 'FINSI';
  361.               'FINSI';
  362.             'SINON';
  363. *           otherwise
  364.               RBVAL2 = RBVAL1;
  365.               RBVAL1 = RBVAL1 - ((F_VAL1)/(D_VAL1));
  366.             'FINSI';
  367.           'FINSI';
  368.           I_I1 = I_I1 + 1;
  369.         'FIN' IND1;
  370. *       computation of lambda
  371.         LAMBJ = RBJ/SBJ;
  372.         TAB_ITE. I_M1 . 'LAMBDA' = LAMBJ;
  373.         TAB_ITE. I_M1 . 'RB' = RBJ;
  374.         XCOUB1 = (((TAB_ITE. I_M1 .'LAMBDA')*(TAB_ITE. I_M1 .'LAMBDA'))*
  375.                   (MATX1));
  376. *       amplified stress state using the lambda coef
  377.         XALP_L = (XCOUB1*ALP_K)/(('XTMX' XCOUB1 ALP_K)**(0.5));
  378.         XALP_L = ('CHAN' ATTRIBUT XALP_L  NATURE DISCRET) + EF_ST0;
  379. *       Dh*ex  ; Dh*ey ; Dh*ez
  380.         DE_HX = 'MANU' 'CHPO' MAI1 2 'FY' H_VAL2 'FZ' 0.0;
  381.         DE_HY = 'MANU' 'CHPO' MAI1 2 'FY' 0.0 'FZ' H_VAL2;
  382. *       x0*lam + Dh*ex  ; x0*lam + Dh*ey ; x0*lam + Dh*ez
  383.         VV_HXP = XALP_L + DE_HX;
  384.         VV_HYP = XALP_L + DE_HY;
  385. *       x0*lam + Dh*ex  ; x0*lam + Dh*ey ; x0*lam + Dh*ez
  386.         VV_HXN = XALP_L - DE_HX;
  387.         VV_HYN = XALP_L - DE_HY;
  388. *       x0*lam
  389.         VV_0 = XALP_L;
  390. *
  391.         VV_HXP1 = 'EXTR' VV_HXP 'FY' MAI1;
  392.         VV_HXP2 = 'EXTR' VV_HXP 'FZ' MAI1;
  393.         VV_HYP1 = 'EXTR' VV_HYP 'FY' MAI1;
  394.         VV_HYP2 = 'EXTR' VV_HYP 'FZ' MAI1;
  395.         VV_HXN1 = 'EXTR' VV_HXN 'FY' MAI1;
  396.         VV_HXN2 = 'EXTR' VV_HXN 'FZ' MAI1;
  397.         VV_HYN1 = 'EXTR' VV_HYN 'FY' MAI1;
  398.         VV_HYN2 = 'EXTR' VV_HYN 'FZ' MAI1;
  399. *
  400.         VV_01 = 'EXTR' VV_0 'FY' MAI1;
  401.         VV_02 = 'EXTR' VV_0 'FZ' MAI1;
  402. *
  403.         'SI' ((VV_HYP2) '>' (NLIMT1));
  404.           TINIA1 = 'COPI' TINI1;
  405.           TINIB1 = 'COPI' TINI1;
  406.           TINIA1.'NN'                = VV_HXP2;
  407.           TINIA1.'VY'                = 0.0;
  408.           TINIA1.'VZ'                = VV_HXP1;
  409.           TINIA1.'MT'                = 0.0;
  410.           TINIA1.'MY'                = 0.0;
  411.           TINIA1.'MZ'                = 0.0;
  412.           TINIB1.'NN'                = VV_HXN2;
  413.           TINIB1.'VY'                = 0.0;
  414.           TINIB1.'VZ'                = VV_HXN1;
  415.           TINIB1.'MT'                = 0.0;
  416.           TINIB1.'MY'                = 0.0;
  417.           TINIB1.'MZ'                = 0.0;
  418.           VAL_X1 = ((G_ULTIFR TINIA1) - (G_ULTIFR TINIB1))/
  419.                                                     ((2.0)*(H_VAL2));
  420. *
  421.           TINIA1 = 'COPI' TINI1;
  422.           TINIB1 = 'COPI' TINI1;
  423.           TINIA1.'NN'                = VV_02;
  424.           TINIA1.'VY'                = 0.0;
  425.           TINIA1.'VZ'                = VV_01;
  426.           TINIA1.'MT'                = 0.0;
  427.           TINIA1.'MY'                = 0.0;
  428.           TINIA1.'MZ'                = 0.0;
  429.           TINIB1.'NN'                = VV_HYN2;
  430.           TINIB1.'VY'                = 0.0;
  431.           TINIB1.'VZ'                = VV_HYN1;
  432.           TINIB1.'MT'                = 0.0;
  433.           TINIB1.'MY'                = 0.0;
  434.           TINIB1.'MZ'                = 0.0;
  435.           VAL_Y1 = ((G_ULTIFR TINIA1) - (G_ULTIFR TINIB1))/
  436.                                                     ((1.0)*(H_VAL2));
  437.         'SINON';
  438.           'SI' ((VV_HYN2) '<' (NLIMC1));
  439.             TINIA1 = 'COPI' TINI1;
  440.             TINIB1 = 'COPI' TINI1;
  441.             TINIA1.'NN'                = VV_HXP2;
  442.             TINIA1.'VY'                = 0.0;
  443.             TINIA1.'VZ'                = VV_HXP1;
  444.             TINIA1.'MT'                = 0.0;
  445.             TINIA1.'MY'                = 0.0;
  446.             TINIA1.'MZ'                = 0.0;
  447.             TINIB1.'NN'                = VV_HXN2;
  448.             TINIB1.'VY'                = 0.0;
  449.             TINIB1.'VZ'                = VV_HXN1;
  450.             TINIB1.'MT'                = 0.0;
  451.             TINIB1.'MY'                = 0.0;
  452.             TINIB1.'MZ'                = 0.0;
  453.             VAL_X1 = ((G_ULTIFR TINIA1) - (G_ULTIFR TINIB1))/
  454.                                                     ((2.0)*(H_VAL2));
  455. *
  456.             TINIA1 = 'COPI' TINI1;
  457.             TINIB1 = 'COPI' TINI1;
  458.             TINIA1.'NN'                = VV_HYP2;
  459.             TINIA1.'VY'                = 0.0;
  460.             TINIA1.'VZ'                = VV_HYP1;
  461.             TINIA1.'MT'                = 0.0;
  462.             TINIA1.'MY'                = 0.0;
  463.             TINIA1.'MZ'                = 0.0;
  464.             TINIB1.'NN'                = VV_02;
  465.             TINIB1.'VY'                = 0.0;
  466.             TINIB1.'VZ'                = VV_01;
  467.             TINIB1.'MT'                = 0.0;
  468.             TINIB1.'MY'                = 0.0;
  469.             TINIB1.'MZ'                = 0.0;
  470.             VAL_Y1 = ((G_ULTIFR TINIA1) - (G_ULTIFR TINIB1))/
  471.                                                     ((1.0)*(H_VAL2));
  472.           'SINON';
  473.             TINIA1 = 'COPI' TINI1;
  474.             TINIB1 = 'COPI' TINI1;
  475.             TINIA1.'NN'                = VV_HXP2;
  476.             TINIA1.'VY'                = 0.0;
  477.             TINIA1.'VZ'                = VV_HXP1;
  478.             TINIA1.'MT'                = 0.0;
  479.             TINIA1.'MY'                = 0.0;
  480.             TINIA1.'MZ'                = 0.0;
  481.             TINIB1.'NN'                = VV_HXN2;
  482.             TINIB1.'VY'                = 0.0;
  483.             TINIB1.'VZ'                = VV_HXN1;
  484.             TINIB1.'MT'                = 0.0;
  485.             TINIB1.'MY'                = 0.0;
  486.             TINIB1.'MZ'                = 0.0;
  487.             VAL_X1 = ((G_ULTIFR TINIA1) - (G_ULTIFR TINIB1))/
  488.                                                     ((2.0)*(H_VAL2));
  489. *
  490.             TINIA1 = 'COPI' TINI1;
  491.             TINIB1 = 'COPI' TINI1;
  492.             TINIA1.'NN'                = VV_HYP2;
  493.             TINIA1.'VY'                = 0.0;
  494.             TINIA1.'VZ'                = VV_HYP1;
  495.             TINIA1.'MT'                = 0.0;
  496.             TINIA1.'MY'                = 0.0;
  497.             TINIA1.'MZ'                = 0.0;
  498.             TINIB1.'NN'                = VV_HYN2;
  499.             TINIB1.'VY'                = 0.0;
  500.             TINIB1.'VZ'                = VV_HYN1;
  501.             TINIB1.'MT'                = 0.0;
  502.             TINIB1.'MY'                = 0.0;
  503.             TINIB1.'MZ'                = 0.0;
  504.             VAL_Y1 = ((G_ULTIFR TINIA1) - (G_ULTIFR TINIB1))/
  505.                                                     ((2.0)*(H_VAL2));
  506. *
  507.           'FINSI';
  508.         'FINSI';
  509. *
  510. *       costruction n_limit        
  511.         DELTG1 = 'MANU' 'CHPO' MAI1 
  512.                                     'UY' ((-1.0)*(VAL_X1))
  513.                                   'UZ' ((-1.0)*(VAL_Y1));
  514. *
  515. *       check on the n_limit
  516.         'SI' ((('XTX' DELTG1)**(0.5)) < 1.E-7);
  517. *         if |n_limit|=0 rotate the chosen direction by 10 degrees
  518.           MATR1 = 'VIDE' 'RIGIDITE'/'RIGIDITE';
  519.           MATR1 = MATR1 'ET' 
  520.              ('MANU' 'RIGIDITE' MAI1 ('MOTS' 'UY' 'UZ') 'QUEL'
  521.                 ('PROG'  (COS(10.0)) ((-1.0)*(SIN(10.0)))
  522.                          (SIN(10.0))      (COS(10.0))));
  523.           AAA1 = MATR1*ALP_K;
  524.           DELTG1 = MANU CHPO MAI1 
  525.                                   'UY' (EXTR AAA1 MAI1 'FY')
  526.                                   'UZ' (EXTR AAA1 MAI1 'FZ');
  527.         'FINSI';
  528.         DELTG1 = DELTG1/((XTX DELTG1)**(0.5));
  529. *       convergence test
  530.         VET_TEST = (TAB_ITE. I_M1 . 'ALPA') 
  531.                  - (TAB_ITE. (I_M1 - 1) . 'ALPA');  
  532. *
  533. *        SI (I_K1 > 4);
  534. *          ERRE 5;
  535. *        FINSI;
  536.  
  537.         'SI' ((('XTX' VET_TEST)**(0.5)) '<' 0.00001);
  538. *         deduction of the final value of Lambda
  539.           'SI' ((TAB_ITE. I_M1 . 'LAMBDA') '>' 0.0);
  540.             'SI' ('NEG' ('TYPE' LAM_FIN1) 'FLOTTANT');
  541.               LAM_FIN1 = (TAB_ITE. I_M1 . 'LAMBDA');
  542.             'SINON';
  543.               'SI' (LAM_FIN1 '>' (TAB_ITE. I_M1 . 'LAMBDA'));
  544.                 LAM_FIN1 = (TAB_ITE. I_M1 . 'LAMBDA');
  545.               'FINSI';
  546.             'FINSI';
  547.           'FINSI';
  548.           'QUIT' IND2;
  549.         'SINON';
  550.           'SI' (I_M1 'EGA' 999);
  551.             ID1_CON = 1;
  552.             'SI' ((TAB_ITE. I_M1 . 'LAMBDA') '>' 0.0);
  553.               'SI' ('NEG' ('TYPE' LAM_FIN1) 'FLOTTANT');
  554.                 LAM_FIN1 = (TAB_ITE. I_M1 . 'LAMBDA');
  555.               'SINON';
  556.                 'SI' (LAM_FIN1 '>' (TAB_ITE. I_M1 . 'LAMBDA'));
  557.                   LAM_FIN1 = (TAB_ITE. I_M1 . 'LAMBDA');
  558.                 'FINSI';
  559.               'FINSI';
  560.             'FINSI';
  561.           'SINON';
  562. *           otherwise updating the n_limit
  563.             ALP_K = DELTG1;
  564.           'FINSI';
  565.         'FINSI';
  566. *       Display
  567. *        SI (I_K1 EGA 4);
  568. *        MESS '-----------------------------';
  569. *        LIST F_VAL1;
  570. *        LIST I_I1;
  571. *        LIST LAMBJ;
  572. *        MESS '*';
  573. *        LIST NLIMT1;
  574. *        LIST NLIMC1;
  575. *        LIST TINIC1.'VY';
  576. *        LIST TINIC1.'VZ';
  577. *        LIST TINIC1.'NN';
  578. *        MESS '*';
  579. *        LIST ('EXTR' (TAB_ITE. I_M1 . 'ALPA') 'UX' MAI1);
  580. *        LIST ('EXTR' (TAB_ITE. I_M1 . 'ALPA') 'UY' MAI1);
  581. *        LIST ('EXTR' (TAB_ITE. I_M1 . 'ALPA') 'UZ' MAI1);
  582. *        LIST ('EXTR' DELTG1 'UX' MAI1);
  583. *        LIST ('EXTR' DELTG1 'UY' MAI1);
  584. *        LIST ('EXTR' DELTG1 'UZ' MAI1);
  585. *        MESS '-----------------------------';
  586. *        SI (I_M1 EGA 100);
  587. *          ERRE 5;
  588. *        FINSI;
  589. *        FINSI;
  590.         I_M1 = I_M1 + 1;
  591.       'FIN' IND2;
  592.       I_K1 = I_K1 + 1;
  593.     'FIN' IND3;
  594. *
  595. *    screen message
  596.     'SI' (ID1_CON 'EGA' 0);
  597.       TIT1 = 'CHAINE' '  Element ' I_ELE1 ' Lambda=' 
  598.                       LAM_FIN1;
  599.       'MESS' TIT1;
  600.     'FINSI';
  601.     'SI' (ID1_CON 'EGA' 1);
  602.       TIT1 = 'CHAINE' '  Element ' I_ELE1 ' Lambda=' 
  603.                        LAM_FIN1 '.....Attention non convergence';
  604.     'FINSI';
  605.   'FINSI';
  606. 'SINON';
  607. *
  608. *-------------------------------------------------------------
  609. *   Methode Rectangle
  610. *
  611. * Test about the static state stress
  612.   T_ST1 = G_ULTIFR TINI1;
  613. *
  614.   ID1_CON = 0;
  615.   'SI' (T_ST1 '&lt;EG' 0.0);
  616.     LAM_FIN1 = 0.0;
  617.     TIT1 = 'CHAINE' '  Element ' I_IE1 ' Lambda=' 
  618.                     LAM_FIN1 '.....Sig0 externe';
  619.     'MESS' TIT1;
  620.   'SINON';
  621.     LAMB0 =  1.0; 
  622.     H_VAL3 = LAMB0/100;
  623.     TOL_2 = FCBET1/1000;
  624.     LL_LAMY = PROG -1.0 1.0 1.0 -1.0;
  625.     LL_LAMZ = PROG -1.0 -1.0 1.0 1.0 ;
  626. *
  627. *   reference list for the 4 point for rectangle solid
  628.     LL_I = PROG 1. 2. 3. 4.;
  629. *
  630. *   creation of the resuming table
  631.     TAB_ITE = 'TABLE';
  632.     TAB_ITE. 0 = 'TABLE';
  633.     TAB_ITE. 0 .'LAMBDA' = LAMB0 ;
  634. *
  635.     I_MM1 = 0;
  636.     ID1_CON = 0;
  637. *
  638. *   loop for in order to find f=0
  639.     'REPE' IND4 (200);
  640. *
  641. *     stress state for the 8 points
  642.       Y1_0 = (((VZVZ1)**(0.5))*(((-1.0)*(LAMB0)))) + EFFZ0;
  643.       Z1_0 = (((NNNN1)**(0.5))*(((-1.0)*(LAMB0)))) + EFFX0;
  644.       Y2_0 = (((VZVZ1)**(0.5))*(((1.0)*(LAMB0)))) + EFFZ0;
  645.       Z2_0 = (((NNNN1)**(0.5))*(((-1.0)*(LAMB0)))) + EFFX0;
  646.       Y3_0 = (((VZVZ1)**(0.5))*(((1.0)*(LAMB0)))) + EFFZ0;
  647.       Z3_0 = (((NNNN1)**(0.5))*(((1.0)*(LAMB0)))) + EFFX0;
  648.       Y4_0 = (((VZVZ1)**(0.5))*(((-1.0)*(LAMB0)))) + EFFZ0;
  649.       Z4_0 = (((NNNN1)**(0.5))*(((1.0)*(LAMB0)))) + EFFX0;
  650.  
  651. *
  652. *     put the N11, N22 et N12 stress state in the lists
  653.       LL_Y0 = 'PROG' (Y1_0) (Y2_0) (Y3_0) (Y4_0);
  654.       LL_Z0 = 'PROG' (Z1_0) (Z2_0) (Z3_0) (Z4_0);
  655.       LL_F0 = 'PROG';
  656. *
  657. *     deduction of f for each point
  658.       III1 = 1;
  659.       'REPE' IND2 (4);
  660.         TINIC1 = 'COPI' TINI1;
  661.         TINIC1.'NN'                = ('EXTR' LL_Z0 III1);
  662.         TINIC1.'VY'                = 0.0;
  663.         TINIC1.'VZ'                = ('EXTR' LL_Y0 III1);
  664.         TINIC1.'MT'                = 0.0;
  665.         TINIC1.'MY'                = 0.0;
  666.         TINIC1.'MZ'                = 0.0;
  667.         LL_F0 = LL_F0 ET 
  668.           ('PROG' (G_ULTIFR TINIC1));
  669.         III1 = III1 + 1;
  670.       'FIN' IND2;
  671. *     saving 
  672.       TAB_ITE. I_MM1 .'L_Y' = LL_Y0;
  673.       TAB_ITE. I_MM1 .'L_Z' = LL_Z0;
  674.       TAB_ITE. I_MM1 .'L_F' = LL_F0;
  675. *     finding the minimum value of f and the corresponding point
  676.       EV1 = 'EVOL' 'MANU' LL_I (LL_F0);
  677.       II1 II2 VAL_F = 'MINI' EV1;
  678. *     computation of D (gradiant) in case of Point_1=Argmin(fmin)
  679.       Y1_DP = 
  680.            (((VZVZ1)**(0.5))*((('EXTR' LL_LAMY II1)*(LAMB0 + H_VAL3)))) 
  681.                                                           + EFFZ0;
  682.       Z1_DP = 
  683.            (((NNNN1)**(0.5))*((('EXTR' LL_LAMZ II1)*(LAMB0 + H_VAL3)))) 
  684.                                                           + EFFX0;
  685.       Y1_0 = 
  686.            (((VZVZ1)**(0.5))*((('EXTR' LL_LAMY II1)*(LAMB0)))) 
  687.                                                           + EFFZ0;
  688.       Z1_0 = 
  689.            (((NNNN1)**(0.5))*((('EXTR' LL_LAMZ II1)*(LAMB0)))) 
  690.                                                           + EFFX0;
  691.       Y1_DN = 
  692.            (((VZVZ1)**(0.5))*((('EXTR' LL_LAMY II1)*(LAMB0 - H_VAL3)))) 
  693.                                                           + EFFZ0;
  694.       Z1_DN = 
  695.            (((NNNN1)**(0.5))*((('EXTR' LL_LAMZ II1)*(LAMB0 - H_VAL3)))) 
  696.                                                           + EFFX0;
  697.       'SI' (Z1_DP '>EG' NLIMT1);
  698.         TINIA1 = 'COPI' TINI1;
  699.         TINIB1 = 'COPI' TINI1;
  700.         TINIA1.'NN'                = Z1_0;
  701.         TINIA1.'VY'                = 0.0;
  702.         TINIA1.'VZ'                = Y1_0;
  703.         TINIA1.'MT'                = 0.0;
  704.         TINIA1.'MY'                = 0.0;
  705.         TINIA1.'MZ'                = 0.0;
  706.         TINIB1.'NN'                = Z1_DN;
  707.         TINIB1.'VY'                = 0.0;
  708.         TINIB1.'VZ'                = Y1_DN;
  709.         TINIB1.'MT'                = 0.0;
  710.         TINIB1.'MY'                = 0.0;
  711.         TINIB1.'MZ'                = 0.0;
  712.         D_VAL1 = ((G_ULTIFR TINIA1) - (G_ULTIFR TINIB1))/
  713.                                                 ((1.0)*(H_VAL3));
  714.       'SINON';
  715.         'SI' (Z1_DN '&lt;EG' NLIMC1);
  716.           TINIA1 = 'COPI' TINI1;
  717.           TINIB1 = 'COPI' TINI1;
  718.           TINIA1.'NN'                = Z1_DP;
  719.           TINIA1.'VY'                = 0.0;
  720.           TINIA1.'VZ'                = Y1_DP;
  721.           TINIA1.'MT'                = 0.0;
  722.           TINIA1.'MY'                = 0.0;
  723.           TINIA1.'MZ'                = 0.0;
  724.           TINIB1.'NN'                = Z1_0;
  725.           TINIB1.'VY'                = 0.0;
  726.           TINIB1.'VZ'                = Y1_0;
  727.           TINIB1.'MT'                = 0.0;
  728.           TINIB1.'MY'                = 0.0;
  729.           TINIB1.'MZ'                = 0.0;
  730.           D_VAL1 = ((G_ULTIFR TINIA1) - (G_ULTIFR TINIB1))/
  731.                                                   ((1.0)*(H_VAL3));
  732.         'SINON';
  733.           TINIA1 = 'COPI' TINI1;
  734.           TINIB1 = 'COPI' TINI1;
  735.           TINIA1.'NN'                = Z1_DP;
  736.           TINIA1.'VY'                = 0.0;
  737.           TINIA1.'VZ'                = Y1_DP;
  738.           TINIA1.'MT'                = 0.0;
  739.           TINIA1.'MY'                = 0.0;
  740.           TINIA1.'MZ'                = 0.0;
  741.           TINIB1.'NN'                = Z1_DN;
  742.           TINIB1.'VY'                = 0.0;
  743.           TINIB1.'VZ'                = Y1_DN;
  744.           TINIB1.'MT'                = 0.0;
  745.           TINIB1.'MY'                = 0.0;
  746.           TINIB1.'MZ'                = 0.0;
  747.           D_VAL1 = ((G_ULTIFR TINIA1) - (G_ULTIFR TINIB1))/
  748.                                                   ((2.0)*(H_VAL3));
  749.         'FINSI';
  750.       'FINSI';
  751.       'OUBL' X1_DP;
  752.       'OUBL' Y1_DP;
  753.       'OUBL' Z1_DP;
  754.       'OUBL' X1_DN;
  755.       'OUBL' Y1_DN;
  756.       'OUBL' Z1_DN;
  757. *      'OUBL' X1_0;
  758. *      'OUBL' Y1_0;
  759. *      'OUBL' Z1_0; 
  760. *
  761. *     Display
  762. *      MESS '-----------------------';
  763. *      LIST II1;
  764. *      LIST LAMB0;
  765. *      LIST VAL_F;
  766. *      LIST D_VAL1;
  767. *      MESS '*';
  768. *      LIST NLIMT1;
  769. *      LIST NLIMC1;
  770. *      MESS '*';
  771. *      LIST Y1_0;
  772. *      LIST Z1_0;
  773. *      SI (I_MM1 EGA 50);
  774. *        ERRE 5;
  775. *      FINSI;
  776. *
  777. *     test convergence
  778.       'SI' (('ABS'(VAL_F)) '<' TOL_1);
  779. *       convergence!!!
  780.         LAM_FIN1 = LAMB0;
  781.         'QUIT' IND4;
  782.       'SINON';
  783.         'SI' (I_MM1 'EGA' 200);
  784.           LAM_FIN1 = LAMB0;
  785.           ID1_CON = 1;
  786.           'QUIT' IND4;
  787.         'FINSI';
  788.         'SI' (('ABS'(D_VAL1)) < 1.E-8);
  789. *          'SI' ((Z1_0) '>EG' (NLIMT1));
  790. *            LAMB1 = LAMB0;
  791. *            LAMB0 = ((NLIMT1) - EFFX0 - ((NLIMT1)*(TOL_1)))/
  792. *                      (((NNNN1)**(0.5))*('EXTR' LL_LAMZ II1));
  793. *          'SINON';
  794. *            'SI' ((Z1_0) '&lt;EG' (NLIMC1));
  795. *              LAMB1 = LAMB0;
  796. *              LAMB0 = ((NLIMC1) - EFFX0 + ((NLIMT1)*(TOL_1)))/
  797. *                        (((NNNN1)**(0.5))*('EXTR' LL_LAMZ II1));
  798. *            'FINSI';
  799. *          'FINSI';
  800.           LAMB1 = LAMB0;
  801.           LAMB0 = LAMB0*0.9;
  802.         'SINON';
  803. *         otherwise
  804.           LAMB1 = LAMB0;
  805.           LAMB0 = LAMB0 - ((VAL_F)/(D_VAL1));
  806.           'SI' (((ABS(LAMB1 - LAMB0))/(LAMB0)) '<' (1.E-8));
  807.              LAMB0 = LAMB0*0.90;
  808.           'FINSI';
  809.         'FINSI';
  810.       'FINSI';
  811.       'OUBL' VAL_F;
  812.       'OUBL' D_VAL1;
  813. *
  814.       TAB_ITE. (I_MM1 + 1) = 'TABLE';
  815.       TAB_ITE. (I_MM1 + 1) .'LAMBDA' = ABS(LAMB0) ;
  816. *
  817.       I_MM1 = I_MM1 + 1;
  818.     'FIN' IND4;
  819.  
  820.   'FINSI';
  821. *
  822. *    screen message
  823.     'SI' (ID1_CON 'EGA' 0);
  824.       TIT1 = 'CHAINE' '  Element ' I_ELE1 ' Lambda=' 
  825.                       LAM_FIN1;
  826.       'MESS' TIT1;
  827.     'FINSI';
  828.     'SI' (ID1_CON 'EGA' 1);
  829.       TIT1 = 'CHAINE' '  Element ' I_ELE1 ' Lambda=' 
  830.                        LAM_FIN1 '.....Attention non convergence';
  831.     'FINSI';
  832. *
  833. 'FINSI';
  834. *  MESS 'SONO QUI';
  835. *  MESS LAM_FIN1;
  836. FINPROC LAM_FIN1;
  837.  
  838.  
  839.  
  840.  

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