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  1. * MRCFRAM4  PROCEDUR  BP208322  20/05/05    21:15:02     10601          
  2. DEBPROC MRCFRAM4 TYP_CAL2*'MOT     '
  3.    TAB_IN2*'TABLE' TOL_2*'FLOTTANT';
  4. *
  5. * --------------------------------------------------------
  6. *  Procedure FRCFRAM4
  7. *    Procedure appele par MRCFRAME pour le calcul de la marge sismique 
  8. *    d'element frame tyep POUTRE LONG
  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 = MRCFRAM4 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 donnees 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_LONG';
  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. 'SI' ('EGA' TYP_CAL1 'ELLIPSOIDE');
  189. *
  190. *-------------------------------------------------------------
  191. *   Methode Ellipse
  192. *
  193. * Test about the static state stress
  194.   T_ST1 = G_ULTIFR TINI1;
  195. *
  196.   'SI' (T_ST1 '<EG' 0.0);
  197.     LAM_FIN1 = 0.0;
  198.     TIT1 = 'CHAINE' '  Element ' I_IE1 ' Lambda=' 
  199.                     LAM_FIN1 '.....Sig0 externe';
  200.     'MESS' TIT1;
  201.   'SINON';
  202.     MAI1 = 0. 0. 0.;
  203. *   Matrix X
  204.     MATX1 = VIDE 'RIGIDITE'/'RIGIDITE';
  205.     MATX1 = MATX1 'ET' ('MANU' 'RIGIDITE' MAI1 (MOTS 'UX' 'UZ')
  206.           ('PROG' MYMY1 NNMY1
  207.                   NNMY1 NNNN1));
  208. *
  209. *   Static state stress
  210.     EF_ST0 = 'MANU' 'CHPO' MAI1 2 'FX' MOMY0 'FZ' EFFX0;
  211.     EF_ST0 = 'CHAN' 'ATTRIBUT' EF_ST0 'NATURE' 'DISCRET';
  212. *
  213. *
  214. *   Initial Vecteur
  215.     ALP_0 =  'MANU' 'CHPO' MAI1 2 'UX' 2.0 'UZ' 2.0;     
  216.     XALP_0 = (MATX1*ALP_0)/(('XTMX' MATX1 ALP_0)**(0.5));
  217.     XALP_0 = ('CHAN' ATTRIBUT XALP_0 NATURE DISCRET) + EF_ST0;
  218. *
  219. *       direction used for the ellispoide methode
  220.     TB_DIR = 'TABLE';
  221.     TB_DIR. 1 = 'MANU' 'CHPO' MAI1 2 'UX'  1.0 'UZ'  0.0;
  222.     TB_DIR. 2 = 'MANU' 'CHPO' MAI1 2 'UX'  0.0 'UZ'  1.0;
  223.     TB_DIR. 3 = 'MANU' 'CHPO' MAI1 2 'UX'  -1.0 'UZ'  0.0;
  224.     TB_DIR. 4 = 'MANU' 'CHPO' MAI1 2 'UX'  0.0 'UZ'  -1.0;
  225. *
  226.     SB0 =    ('XTX' (XALP_0 - EF_ST0))**(0.5);
  227.     RB0 =     SB0;
  228.     LAMB0 =   RB0/SB0;
  229. *
  230. *   incremental step
  231.     H_VAL1 = (SB0)/(100000.0);
  232.     H_VAL2 = (SB0)/(100000.0);
  233. *  
  234. *   variable for the convergence test
  235.     ID1_CON = 0;
  236. *
  237. * loop for each direction
  238.     I_K1 = 1;
  239.     'REPE' IND3 (4);
  240. *
  241.       TAB_ITE = 'TABLE';
  242.       TAB_ITE. 0 = 'TABLE';
  243.       TAB_ITE. 0 . 'ALPA' = ALP_0;
  244.       TAB_ITE. 0 . 'LAMBDA' = LAMB0;
  245.       TAB_ITE. 0 . 'RB' = RB0;
  246. *
  247.       ALP_K = (TB_DIR. I_K1);
  248.       I_M1 = 1;
  249. *     first loop in order to have n_elllips=n_limite
  250.       'REPE' IND2 (200);
  251. *       sauving Lambda for j iteraction
  252.         TAB_ITE. I_M1 = 'TABLE';
  253.         TAB_ITE. I_M1 . 'ALPA' = ALP_K;
  254. *       determination of the stress state for the chosen direction
  255.         XALP_J = (MATX1*ALP_K)/(('XTMX' MATX1 ALP_K)**(0.5));
  256.         XALP_J = ('CHAN' ATTRIBUT XALP_J NATURE DISCRET) + EF_ST0;
  257. *       nomalisez vector of hte rayon of the ellipsoide for the 
  258. *       chosen direction
  259.         SBJ = ('XTX' (XALP_J - EF_ST0))**(0.5);
  260.         BJ = (XALP_J - EF_ST0)/(SBJ);
  261. *       rayon of the ellipsoide for the chosen direction
  262.         RBVAL1 = (TAB_ITE.(I_M1 - 1). 'RB');
  263. *       second loop in order to have f=0
  264.         I_I1 = 1;
  265.         'REPE' IND1 (200);
  266. *         strees state x0, x0+h, x0-h
  267.           VV1 = (RBVAL1 + H_VAL1)*(BJ);
  268.           VV2 = (RBVAL1 - H_VAL1)*(BJ);
  269.           VV3 = (RBVAL1)*(BJ);
  270.           VV1 = ('CHAN' 'ATTRIBUT' VV1 'NATURE' 'DISCRET') + EF_ST0;
  271.           VV2 = ('CHAN' 'ATTRIBUT' VV2 'NATURE' 'DISCRET') + EF_ST0;
  272.           VV3 = ('CHAN' 'ATTRIBUT' VV3 'NATURE' 'DISCRET') + EF_ST0;
  273.           TINIA1 = 'COPI' TINI1;
  274.           TINIB1 = 'COPI' TINI1;
  275.           TINIC1 = 'COPI' TINI1;
  276.           TINIA1.'NN'                = EXTR VV1 'FZ' MAI1;
  277.           TINIA1.'VY'                = 0.0;
  278.           TINIA1.'VZ'                = 0.0;
  279.           TINIA1.'MT'                = 0.0;
  280.           TINIA1.'MY'                = EXTR VV1 'FX' MAI1;
  281.           TINIA1.'MZ'                = 0.0;
  282.           TINIB1.'NN'                = EXTR VV2 'FZ' MAI1;
  283.           TINIB1.'VY'                = 0.0;
  284.           TINIB1.'VZ'                = 0.0;
  285.           TINIB1.'MT'                = 0.0;
  286.           TINIB1.'MY'                = EXTR VV2 'FX' MAI1;
  287.           TINIB1.'MZ'                = 0.0;
  288.           TINIC1.'NN'                = EXTR VV3 'FZ' MAI1;
  289.           TINIC1.'VY'                = 0.0;
  290.           TINIC1.'VZ'                = 0.0;
  291.           TINIC1.'MT'                = 0.0;
  292.           TINIC1.'MY'                = EXTR VV3 'FX' MAI1;
  293.           TINIC1.'MZ'                = 0.0;
  294.           'OUBL' VV1;
  295.           'OUBL' VV2;
  296.           'OUBL' VV3;
  297.           F_VAL1 = G_ULTIFR TINIC1;
  298.           D_VAL1 = ((G_ULTIFR TINIA1) - (G_ULTIFR TINIB1))/
  299.                                                ((2.0)*(H_VAL1));
  300.  
  301. *          MESS '-------------------------';
  302. *          LIST F_VAL1;
  303. *          LIST D_VAL1;
  304. *          LIST (TINIC1.'MY');
  305. *          LIST (TINIC1.'NN');
  306. *          SI (I_I1 EGA 4);
  307. *            ERRE 5;
  308. *          FINSI;
  309. *         controle
  310.           'SI' ((('ABS'(F_VAL1)) '<' ((TOL_2)/(100.0))) 
  311.                    'OU' (I_I1 'EGA' 200));
  312.             RBJ = RBVAL1;
  313.             'QUIT' IND1;
  314.           'SINON';
  315.             'SI' (('ABS'(D_VAL1)) < 1.E-12);
  316.               RBVAL2 = RBVAL1;
  317.               RBVAL1 = RBVAL1*1.1;
  318.             'SINON';
  319. *           otherwise
  320.               RBVAL2 = RBVAL1;
  321.               RBVAL1 = RBVAL1 - ((F_VAL1)/(D_VAL1));
  322.             'FINSI';
  323.           'FINSI';
  324.           I_I1 = I_I1 + 1;
  325.         'FIN' IND1;
  326. *       computation of lambda
  327.         LAMBJ = RBJ/SBJ;
  328.         TAB_ITE. I_M1 . 'LAMBDA' = LAMBJ;
  329.         TAB_ITE. I_M1 . 'RB' = RBJ;
  330.         XCOUB1 = (((TAB_ITE. I_M1 .'LAMBDA')*(TAB_ITE. I_M1 .'LAMBDA'))*
  331.                   (MATX1));
  332. *       amplified stress state using the lambda coef
  333.         XALP_L = (XCOUB1*ALP_K)/(('XTMX' XCOUB1 ALP_K)**(0.5));
  334.         XALP_L = ('CHAN' ATTRIBUT XALP_L  NATURE DISCRET) + EF_ST0;
  335. *       Dh*ex  ; Dh*ey ; Dh*ez
  336.         DE_HX = 'MANU' 'CHPO' MAI1 2 'FX' H_VAL2 'FZ' 0.0;
  337.         DE_HY = 'MANU' 'CHPO' MAI1 2 'FX' 0.0 'FZ' H_VAL2;
  338. *       x0*lam + Dh*ex  ; x0*lam + Dh*ey ; x0*lam + Dh*ez
  339.         VV_HXP = XALP_L + DE_HX;
  340.         VV_HYP = XALP_L + DE_HY;
  341. *       x0*lam + Dh*ex  ; x0*lam + Dh*ey ; x0*lam + Dh*ez
  342.         VV_HXN = XALP_L - DE_HX;
  343.         VV_HYN = XALP_L - DE_HY;
  344. *       x0*lam
  345.         VV_0 = XALP_L;
  346. *
  347.         VV_HXP1 = 'EXTR' VV_HXP 'FX' MAI1;
  348.         VV_HXP2 = 'EXTR' VV_HXP 'FZ' MAI1;
  349.         VV_HYP1 = 'EXTR' VV_HYP 'FX' MAI1;
  350.         VV_HYP2 = 'EXTR' VV_HYP 'FZ' MAI1;
  351.         VV_HXN1 = 'EXTR' VV_HXN 'FX' MAI1;
  352.         VV_HXN2 = 'EXTR' VV_HXN 'FZ' MAI1;
  353.         VV_HYN1 = 'EXTR' VV_HYN 'FX' MAI1;
  354.         VV_HYN2 = 'EXTR' VV_HYN 'FZ' MAI1;
  355. *
  356.         VV_01 = 'EXTR' VV_0 'FX' MAI1;
  357.         VV_02 = 'EXTR' VV_0 'FZ' MAI1;
  358. *
  359.         'SI' ((VV_HYP2) '>' (NLIMT1));
  360.           TINIA1 = 'COPI' TINI1;
  361.           TINIB1 = 'COPI' TINI1;
  362.           TINIA1.'NN'                = VV_HXP2;
  363.           TINIA1.'VY'                = 0.0;
  364.           TINIA1.'VZ'                = 0.0;
  365.           TINIA1.'MT'                = 0.0;
  366.           TINIA1.'MY'                = VV_HXP1;
  367.           TINIA1.'MZ'                = 0.0;
  368.           TINIB1.'NN'                = VV_HXN2;
  369.           TINIB1.'VY'                = 0.0;
  370.           TINIB1.'VZ'                = 0.0;
  371.           TINIB1.'MT'                = 0.0;
  372.           TINIB1.'MY'                = VV_HXN1;
  373.           TINIB1.'MZ'                = 0.0;
  374.           VAL_X1 = ((G_ULTIFR TINIA1) - (G_ULTIFR TINIB1))/
  375.                                                     ((2.0)*(H_VAL2));
  376. *
  377.           TINIA1 = 'COPI' TINI1;
  378.           TINIB1 = 'COPI' TINI1;
  379.           TINIA1.'NN'                = VV_02;
  380.           TINIA1.'VY'                = 0.0;
  381.           TINIA1.'VZ'                = 0.0;
  382.           TINIA1.'MT'                = 0.0;
  383.           TINIA1.'MY'                = VV_01;
  384.           TINIA1.'MZ'                = 0.0;
  385.           TINIB1.'NN'                = VV_HYN2;
  386.           TINIB1.'VY'                = 0.0;
  387.           TINIB1.'VZ'                = 0.0;
  388.           TINIB1.'MT'                = 0.0;
  389.           TINIB1.'MY'                = VV_HYN1;
  390.           TINIB1.'MZ'                = 0.0;
  391.           VAL_Y1 = ((G_ULTIFR TINIA1) - (G_ULTIFR TINIB1))/
  392.                                                     ((1.0)*(H_VAL2));
  393.         'SINON';
  394.           'SI' ((VV_HYN2) '<' (NLIMC1));
  395.             TINIA1 = 'COPI' TINI1;
  396.             TINIB1 = 'COPI' TINI1;
  397.             TINIA1.'NN'                = VV_HXP2;
  398.             TINIA1.'VY'                = 0.0;
  399.             TINIA1.'VZ'                = 0.0;
  400.             TINIA1.'MT'                = 0.0;
  401.             TINIA1.'MY'                = VV_HXP1;
  402.             TINIA1.'MZ'                = 0.0;
  403.             TINIB1.'NN'                = VV_HXN2;
  404.             TINIB1.'VY'                = 0.0;
  405.             TINIB1.'VZ'                = 0.0;
  406.             TINIB1.'MT'                = 0.0;
  407.             TINIB1.'MY'                = VV_HXN1;
  408.             TINIB1.'MZ'                = 0.0;
  409.             VAL_X1 = ((G_ULTIFR TINIA1) - (G_ULTIFR TINIB1))/
  410.                                                     ((2.0)*(H_VAL2));
  411. *
  412.             TINIA1 = 'COPI' TINI1;
  413.             TINIB1 = 'COPI' TINI1;
  414.             TINIA1.'NN'                = VV_HYP2;
  415.             TINIA1.'VY'                = 0.0;
  416.             TINIA1.'VZ'                = 0.0;
  417.             TINIA1.'MT'                = 0.0;
  418.             TINIA1.'MY'                = VV_HYP1;
  419.             TINIA1.'MZ'                = 0.0;
  420.             TINIB1.'NN'                = VV_02;
  421.             TINIB1.'VY'                = 0.0;
  422.             TINIB1.'VZ'                = 0.0;
  423.             TINIB1.'MT'                = 0.0;
  424.             TINIB1.'MY'                = VV_01;
  425.             TINIB1.'MZ'                = 0.0;
  426.             VAL_Y1 = ((G_ULTIFR TINIA1) - (G_ULTIFR TINIB1))/
  427.                                                     ((1.0)*(H_VAL2));
  428.           'SINON';
  429.             TINIA1 = 'COPI' TINI1;
  430.             TINIB1 = 'COPI' TINI1;
  431.             TINIA1.'NN'                = VV_HXP2;
  432.             TINIA1.'VY'                = 0.0;
  433.             TINIA1.'VZ'                = 0.0;
  434.             TINIA1.'MT'                = 0.0;
  435.             TINIA1.'MY'                = VV_HXP1;
  436.             TINIA1.'MZ'                = 0.0;
  437.             TINIB1.'NN'                = VV_HXN2;
  438.             TINIB1.'VY'                = 0.0;
  439.             TINIB1.'VZ'                = 0.0;
  440.             TINIB1.'MT'                = 0.0;
  441.             TINIB1.'MY'                = VV_HXN1;
  442.             TINIB1.'MZ'                = 0.0;
  443.             VAL_X1 = ((G_ULTIFR TINIA1) - (G_ULTIFR TINIB1))/
  444.                                                     ((2.0)*(H_VAL2));
  445. *
  446.             TINIA1 = 'COPI' TINI1;
  447.             TINIB1 = 'COPI' TINI1;
  448.             TINIA1.'NN'                = VV_HYP2;
  449.             TINIA1.'VY'                = 0.0;
  450.             TINIA1.'VZ'                = 0.0;
  451.             TINIA1.'MT'                = 0.0;
  452.             TINIA1.'MY'                = VV_HYP1;
  453.             TINIA1.'MZ'                = 0.0;
  454.             TINIB1.'NN'                = VV_HYN2;
  455.             TINIB1.'VY'                = 0.0;
  456.             TINIB1.'VZ'                = 0.0;
  457.             TINIB1.'MT'                = 0.0;
  458.             TINIB1.'MY'                = VV_HYN1;
  459.             TINIB1.'MZ'                = 0.0;
  460.             VAL_Y1 = ((G_ULTIFR TINIA1) - (G_ULTIFR TINIB1))/
  461.                                                     ((2.0)*(H_VAL2));
  462. *
  463.           'FINSI';
  464.         'FINSI';
  465. *
  466. *       costruction n_limit
  467.         DELTG1 = 'MANU' 'CHPO' MAI1 
  468.                                     'UX' ((-1.0)*(VAL_X1))
  469.                                     'UZ' ((-1.0)*(VAL_Y1));
  470.         DELTG1 = DELTG1/((XTX DELTG1)**(0.5));
  471. *       check on the n_limit
  472.         'SI' ((('XTX' DELTG1)**(0.5)) < 1.E-7);
  473. *         if |n_limit|=0 rotate the chosen direction by 10 degrees
  474.           MATR1 = 'VIDE' 'RIGIDITE'/'RIGIDITE';
  475.           MATR1 = MATR1 'ET' 
  476.              ('MANU' 'RIGIDITE' MAI1 ('MOTS' 'UX' 'UZ') 'QUEL'
  477.                 ('PROG'  (COS(10.0)) ((-1.0)*(SIN(10.0)))
  478.                          (SIN(10.0))      (COS(10.0))));
  479.           AAA1 = MATR1*ALP_K;
  480.           DELTG1 = MANU CHPO MAI1 
  481.                                   'UX' (EXTR AAA1 MAI1 'FX')
  482.                                   'UZ' (EXTR AAA1 MAI1 'FZ');
  483.         'FINSI';
  484. *       convergence test
  485.         VET_TEST = (TAB_ITE. I_M1 . 'ALPA') 
  486.                  - (TAB_ITE. (I_M1 - 1) . 'ALPA');  
  487. *
  488. *        SI (I_K1 > 3);
  489. *          ERRE 5;
  490. *        FINSI;
  491.         'SI' ((('XTX' VET_TEST)**(0.5)) '<' TOL_2);
  492. *         deduction of the final value of Lambda
  493.           'SI' ((TAB_ITE. I_M1 . 'LAMBDA') '>' 0.0);
  494.             'SI' ('NEG' ('TYPE' LAM_FIN1) 'FLOTTANT');
  495.               LAM_FIN1 = (TAB_ITE. I_M1 . 'LAMBDA');
  496.             'SINON';
  497.               'SI' (LAM_FIN1 '>' (TAB_ITE. I_M1 . 'LAMBDA'));
  498.                 LAM_FIN1 = (TAB_ITE. I_M1 . 'LAMBDA');
  499.               'FINSI';
  500.             'FINSI';
  501.           'FINSI';
  502.           'QUIT' IND2;
  503.         'SINON';
  504.           'SI' (I_M1 'EGA' 199);
  505.             ID1_CON = 1;
  506.             'SI' ((TAB_ITE. I_M1 . 'LAMBDA') '>' 0.0);
  507.               'SI' ('NEG' ('TYPE' LAM_FIN1) 'FLOTTANT');
  508.                 LAM_FIN1 = (TAB_ITE. I_M1 . 'LAMBDA');
  509.               'SINON';
  510.                 'SI' (LAM_FIN1 '>' (TAB_ITE. I_M1 . 'LAMBDA'));
  511.                   LAM_FIN1 = (TAB_ITE. I_M1 . 'LAMBDA');
  512.                 'FINSI';
  513.               'FINSI';
  514.             'FINSI';
  515.           'SINON';
  516. *           otherwise updating the n_limit
  517.             ALP_K = DELTG1;
  518.           'FINSI';
  519.         'FINSI';
  520. *       Display
  521. *        SI (I_K1 EGA 3);
  522. *        MESS '-----------------------------';
  523. *        LIST F_VAL1;
  524. *        LIST I_I1;
  525. *        LIST LAMBJ;
  526. *        MESS '*';
  527. *        LIST NLIMT1;
  528. *        LIST NLIMC1;
  529. *        LIST TINIC1.'VY';
  530. *        LIST TINIC1.'VZ';
  531. *        LIST TINIC1.'NN';
  532. *        MESS '*';
  533. *        LIST ('EXTR' (TAB_ITE. I_M1 . 'ALPA') 'UX' MAI1);
  534. *        LIST ('EXTR' (TAB_ITE. I_M1 . 'ALPA') 'UY' MAI1);
  535. *        LIST ('EXTR' (TAB_ITE. I_M1 . 'ALPA') 'UZ' MAI1);
  536. *        LIST ('EXTR' DELTG1 'UX' MAI1);
  537. *        LIST ('EXTR' DELTG1 'UY' MAI1);
  538. *        LIST ('EXTR' DELTG1 'UZ' MAI1);
  539. *        MESS '-----------------------------';
  540. *        SI (I_M1 EGA 10);
  541. *          ERRE 5;
  542. *        FINSI;
  543. *        FINSI;
  544.         I_M1 = I_M1 + 1;
  545.       'FIN' IND2;
  546.       I_K1 = I_K1 + 1;
  547.     'FIN' IND3;
  548. *
  549. *    screen message
  550.     'SI' (ID1_CON 'EGA' 0);
  551.       TIT1 = 'CHAINE' '  Element ' I_ELE1 ' Lambda=' 
  552.                       LAM_FIN1;
  553.       'MESS' TIT1;
  554.     'FINSI';
  555.     'SI' (ID1_CON 'EGA' 1);
  556.       TIT1 = 'CHAINE' '  Element ' I_ELE1 ' Lambda=' 
  557.                        LAM_FIN1 '.....Attention non convergence';
  558.     'FINSI';
  559.   'FINSI';
  560. 'SINON';
  561. *
  562. *-------------------------------------------------------------
  563. *   Methode Rectangle
  564. *
  565. * Test about the static state stress
  566.   T_ST1 = G_ULTIFR TINI1;
  567. *
  568.   ID1_CON = 0;
  569.   'SI' (T_ST1 '&lt;EG' 0.0);
  570.     LAM_FIN1 = 0.0;
  571.     TIT1 = 'CHAINE' '  Element ' I_IE1 ' Lambda=' 
  572.                     LAM_FIN1 '.....Sig0 externe';
  573.     'MESS' TIT1;
  574.   'SINON';
  575.     LAMB0 =  1.0; 
  576.     H_VAL3 = LAMB0/1000;
  577.     TOL_2 = FCBET1/1000;
  578.     LL_LAMX = PROG -1.0 1.0 1.0 -1.0;
  579.     LL_LAMZ = PROG -1.0 -1.0 1.0 1.0 ;
  580. *
  581. *   reference list for the 4 point for rectangle solid
  582.     LL_I = PROG 1. 2. 3. 4.;
  583. *
  584. *   creation of the resuming table
  585.     TAB_ITE = 'TABLE';
  586.     TAB_ITE. 0 = 'TABLE';
  587.     TAB_ITE. 0 .'LAMBDA' = LAMB0 ;
  588. *
  589.     I_MM1 = 0;
  590.     ID1_CON = 0;
  591. *
  592. *   loop for in order to find f=0
  593.     'REPE' IND4 (200);
  594. *
  595. *     stress state for the 8 points
  596.       X1_0 = (((MYMY1)**(0.5))*(((-1.0)*(LAMB0)))) + MOMY0;
  597.       Z1_0 = (((NNNN1)**(0.5))*(((-1.0)*(LAMB0)))) + EFFX0;
  598.       X2_0 = (((MYMY1)**(0.5))*(((1.0)*(LAMB0)))) + MOMY0;
  599.       Z2_0 = (((NNNN1)**(0.5))*(((-1.0)*(LAMB0)))) + EFFX0;
  600.       X3_0 = (((MYMY1)**(0.5))*(((1.0)*(LAMB0)))) + MOMY0;
  601.       Z3_0 = (((NNNN1)**(0.5))*(((1.0)*(LAMB0)))) + EFFX0;
  602.       X4_0 = (((MYMY1)**(0.5))*(((-1.0)*(LAMB0)))) + MOMY0;
  603.       Z4_0 = (((NNNN1)**(0.5))*(((1.0)*(LAMB0)))) + EFFX0;
  604. *
  605. *     put the N11, N22 et N12 stress state in the lists
  606.       LL_X0 = 'PROG' (X1_0) (X2_0) (X3_0) (X4_0);
  607.       LL_Z0 = 'PROG' (Z1_0) (Z2_0) (Z3_0) (Z4_0);
  608.       LL_F0 = 'PROG';
  609. *
  610. *     deduction of f for each point
  611.       III1 = 1;
  612.       'REPE' IND2 (4);
  613.         TINIC1 = 'COPI' TINI1;
  614.         TINIC1.'NN'                = ('EXTR' LL_Z0 III1);
  615.         TINIC1.'VY'                = 0.0;
  616.         TINIC1.'VZ'                = 0.0;
  617.         TINIC1.'MT'                = 0.0;
  618.         TINIC1.'MY'                = ('EXTR' LL_X0 III1);
  619.         TINIC1.'MZ'                = 0.0;
  620.         LL_F0 = LL_F0 ET 
  621.           ('PROG' (G_ULTIFR TINIC1));
  622.         III1 = III1 + 1;
  623.       'FIN' IND2;
  624. *     saving 
  625.       TAB_ITE. I_MM1 .'L_X' = LL_X0;
  626.       TAB_ITE. I_MM1 .'L_Z' = LL_Z0;
  627.       TAB_ITE. I_MM1 .'L_F' = LL_F0;
  628. *     finding the minimum value of f and the corresponding point
  629.       EV1 = 'EVOL' 'MANU' LL_I (LL_F0);
  630.       II1 II2 VAL_F = 'MINI' EV1;
  631.       VAL_F = EXTR LL_F0 II1;
  632. *     computation of D (gradiant) in case of Point_1=Argmin(fmin)
  633.       X1_DP = 
  634.            (((MYMY1)**(0.5))*((('EXTR' LL_LAMX II1)*(LAMB0 + H_VAL3)))) 
  635.                                                           + MOMY0;
  636.       Z1_DP = 
  637.            (((NNNN1)**(0.5))*((('EXTR' LL_LAMZ II1)*(LAMB0 + H_VAL3)))) 
  638.                                                           + EFFX0;
  639.       X1_0 = 
  640.            (((MYMY1)**(0.5))*((('EXTR' LL_LAMX II1)*(LAMB0)))) 
  641.                                                           + MOMY0;
  642.       Z1_0 = 
  643.            (((NNNN1)**(0.5))*((('EXTR' LL_LAMZ II1)*(LAMB0)))) 
  644.                                                           + EFFX0;
  645.       X1_DN = 
  646.            (((MYMY1)**(0.5))*((('EXTR' LL_LAMX II1)*(LAMB0 - H_VAL3)))) 
  647.                                                           + MOMY0;
  648.       Z1_DN = 
  649.            (((NNNN1)**(0.5))*((('EXTR' LL_LAMZ II1)*(LAMB0 - H_VAL3)))) 
  650.                                                           + EFFX0;
  651.       TINIA1 = 'COPI' TINI1;
  652.       TINIB1 = 'COPI' TINI1;
  653.       TINIA1.'NN'                = Z1_DP;
  654.       TINIA1.'VY'                = 0.0;
  655.       TINIA1.'VZ'                = 0.0;
  656.       TINIA1.'MT'                = 0.0;
  657.       TINIA1.'MY'                = X1_DP;
  658.       TINIA1.'MZ'                = 0.0;
  659.       TINIB1.'NN'                = Z1_DN;
  660.       TINIB1.'VY'                = 0.0;
  661.       TINIB1.'VZ'                = 0.0;
  662.       TINIB1.'MT'                = 0.0;
  663.       TINIB1.'MY'                = X1_DN;
  664.       TINIB1.'MZ'                = 0.0;
  665.       D_VAL1 = ((G_ULTIFR TINIA1) - (G_ULTIFR TINIB1))/
  666.                                               ((2.0)*(H_VAL3));
  667.       'OUBL' X1_DP;
  668.       'OUBL' Y1_DP;
  669.       'OUBL' Z1_DP;
  670.       'OUBL' X1_DN;
  671.       'OUBL' Y1_DN;
  672.       'OUBL' Z1_DN;
  673. *      'OUBL' X1_0;
  674. *      'OUBL' Y1_0;
  675. *      'OUBL' Z1_0; 
  676. *
  677. *     Display
  678. *      MESS '-----------------------';
  679. *      LIST II1;
  680. *      LIST LAMB0;
  681. *      LIST VAL_F;
  682. *      LIST D_VAL1;
  683. *      MESS '*';
  684. *      LIST NLIMT1;
  685. *      LIST NLIMC1;
  686. *      MESS '*';
  687. *      LIST X1_0;
  688. *      LIST Z1_0;
  689. *      SI (I_MM1 EGA 30);
  690. *        ERRE 5;
  691. *      FINSI;
  692. *
  693. *     test convergence
  694.       'SI' (('ABS'(VAL_F)) '<' TOL_1);
  695. *       convergence!!!
  696.         LAM_FIN1 = LAMB0;
  697. *      MESS '-----------------------';
  698. *      LIST II1;
  699. *      LIST LAMB0;
  700. *      LIST VAL_F;
  701. *      LIST D_VAL1;
  702. *      MESS '*';
  703. *      LIST NLIMT1;
  704. *      LIST NLIMC1;
  705. *      MESS '*';
  706. *      LIST X1_0;
  707. *      LIST Z1_0;
  708.         'QUIT' IND4;
  709.       'SINON';
  710.         'SI' (I_MM1 'EGA' 199);
  711.           LAM_FIN1 = LAMB0;
  712.           ID1_CON = 1;
  713.           'QUIT' IND4;
  714.         'FINSI';
  715.         'SI' (('ABS'(D_VAL1)) < 1.E-8);
  716. *          'SI' ((Z1_0) '>EG' (NLIMT1));
  717. *            LAMB1 = LAMB0;
  718. *            LAMB0 = ((NLIMT1) - EFFX0 - ((NLIMT1)*(TOL_1)))/
  719. *                      (((NNNN1)**(0.5))*('EXTR' LL_LAMZ II1));
  720. *          'SINON';
  721. *            'SI' ((Z1_0) '&lt;EG' (NLIMC1));
  722. *              LAMB1 = LAMB0;
  723. *              LAMB0 = ((NLIMC1) - EFFX0 + ((NLIMT1)*(TOL_1)))/
  724. *                        (((NNNN1)**(0.5))*('EXTR' LL_LAMZ II1));
  725. *            'FINSI';
  726. *          'FINSI';
  727.           LAMB1 = LAMB0;
  728.           LAMB0 = LAMB1*0.9;
  729.         'SINON';
  730. *         otherwise
  731.           LAMB1 = LAMB0;
  732.           LAMB0 = LAMB0 - ((VAL_F)/(D_VAL1)); 
  733.           'SI' ((ABS((LAMB1 - LAMB0)/(LAMB0))) '<' (1.E-8));
  734.              LAMB0 = LAMB1*0.90;
  735.           'FINSI';
  736.           'SI' ((LAMB0) '<' (0.0));
  737.              LAMB0 = ABS(LAMB0);
  738.           'FINSI';
  739.         'FINSI';
  740.       'FINSI';
  741. *      MESS '-----------------------';
  742. *      LIST II1;
  743. *      LIST LAMB0;
  744. *      LIST VAL_F;
  745. *      LIST D_VAL1;
  746. *      MESS '*';
  747. *      LIST NLIMT1;
  748. *      LIST NLIMC1;
  749. *      MESS '*';
  750. *      LIST X1_0;
  751. *      LIST Z1_0;
  752. *      SI (I_MM1 EGA 5);
  753. *        QUIT MRCFRAME;
  754. *      FINSI;
  755.       'OUBL' VAL_F;
  756.       'OUBL' D_VAL1;
  757. *
  758.       TAB_ITE. (I_MM1 + 1) = 'TABLE';
  759.       TAB_ITE. (I_MM1 + 1) .'LAMBDA' = ABS(LAMB0) ;
  760. *
  761.       I_MM1 = I_MM1 + 1;
  762.     'FIN' IND4;
  763.  
  764.   'FINSI';
  765. *
  766. *    screen message
  767.     'SI' (ID1_CON 'EGA' 0);
  768.       TIT1 = 'CHAINE' '  Element ' I_ELE1 ' Lambda=' 
  769.                       LAM_FIN1;
  770.       'MESS' TIT1;
  771.     'FINSI';
  772.     'SI' (ID1_CON 'EGA' 1);
  773.       TIT1 = 'CHAINE' '  Element ' I_ELE1 ' Lambda=' 
  774.                        LAM_FIN1 '.....Attention non convergence';
  775.       'MESS' TIT1;
  776.     'FINSI';
  777. *
  778. 'FINSI';
  779. *  MESS 'SONO QUI';
  780. FINPROC LAM_FIN1;
  781.  
  782.  
  783.  
  784.  

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