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kpcoq6

  1. C KPCOQ6    SOURCE    CHAT      05/01/13    01:04:08     5004
  2.       SUBROUTINE KPCOQ6(XX, P, XKP, IANT)
  3. C
  4. C     Procedure de calcul de la matrice Kppour un element COQ4
  5. C     Entrees : XX(3, 6) : REAL*8 : Coordonnees des noeuds
  6. C               XP : REAL : Pression
  7. C               IANT : INTEGER : 1 si calcul asymétrique, 0 sinon
  8. C     Sortie :  XKP(36, 36) : REAL*8 : Matrice Kp elementaire
  9. C
  10. C     (D'apres "Design variations of nonlinear elastic structures
  11. C                subjected to follower forces"
  12. C                 M.J. Poldneff, I.S. Rai, J.S. Arora)
  13. C
  14.       IMPLICIT INTEGER(I-N)
  15.       IMPLICIT REAL*8(A-H,O-Z)
  16.       DIMENSION XX(3, 6), XKP(36, 36), SKRO(3, 3, 3),
  17.      1    XN(8, 30), XNB1(30), XNB2(30), XNB3(30), XNB4(30), XNB(30),
  18.      2    DNB1(30), DNB2(30), DN(2, 8, 30), DX(2, 3, 30),
  19.      3    XTIN(30), A(30), B(30), C(30), D(30), E(30), F(30),
  20.      4    XNB5(30), XNB6(30), XNB7(30), XDUM(36, 36)
  21.       DATA XNB1/0.D0, 4.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
  22.      1       0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
  23.      1       0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
  24.      2       0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
  25.      2       0.D0, 0.D0, 0.D0, 0.D0, 0.D0/
  26.       DATA XNB2/0.D0, 0.D0, 4.D0, 0.D0, 0.D0, 0.D0, 0.D0,
  27.      1       0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
  28.      1       0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
  29.      1       0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
  30.      2       0.D0, 0.D0, 0.D0, 0.D0, 0.D0/
  31.       DATA XNB3/0.D0, 0.D0, 0.D0, 4.D0, 0.D0, 0.D0, 0.D0,
  32.      1       0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
  33.      1       0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
  34.      1       0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
  35.      2       0.D0, 0.D0, 0.D0, 0.D0, 0.D0/
  36.       DATA XNB4/1.D0, -1.D0, -1.D0, 0.D0, 0.D0, 0.D0, 0.D0,
  37.      1       0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
  38.      1       0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
  39.      1       0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
  40.      2       0.D0, 0.D0, 0.D0, 0.D0, 0.D0/
  41.       DATA XNB5/1.D0, -2.D0, -2.D0, 0.D0, 0.D0, 0.D0,
  42.      1       0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
  43.      1       0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
  44.      1       0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
  45.      2       0.D0, 0.D0, 0.D0, 0.D0, 0.D0/
  46.       DATA XNB6/-0.25, 0.5, 0.D0, 0.D0, 0.D0, 0.D0,
  47.      1       0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
  48.      1       0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
  49.      1       0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
  50.      2       0.D0, 0.D0, 0.D0, 0.D0, 0.D0/
  51.       DATA XNB7/-0.25, 0.D0, 0.5, 0.D0, 0.D0, 0.D0,
  52.      1       0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
  53.      1       0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
  54.      1       0.D0, 0.D0, 0.D0, 0.D0, 0.D0, 0.D0,
  55.      2       0.D0, 0.D0, 0.D0, 0.D0, 0.D0/
  56. C
  57. C     Initialisation du symbole epsilon
  58. C
  59.       DO 10 I = 1, 3
  60.          DO 10 J = 1, 3
  61.             DO 10 K = 1, 3
  62.    10          SKRO(I, J, K) = 0.D0
  63.       SKRO(1, 2, 3) = 1.D0
  64.       SKRO(1, 3, 2) = -1.D0
  65.       SKRO(2, 3, 1) = 1.D0
  66.       SKRO(2, 1, 3) = -1.D0
  67.       SKRO(3, 1, 2) = 1.D0
  68.       SKRO(3, 2, 1) = -1.D0
  69. C
  70. C     Calcul de la pression
  71. C
  72. *      P = 0.
  73. *      DO 20 I = 1, 3
  74. *   20    P = P + XP(I)
  75. *      P = P/3.
  76. C
  77. C     Fonctions de forme et derivees
  78. C
  79. C     Les coefficients sont ranges comme suit :
  80. C               indice : 1 2  3    4    5    6      7       8    9
  81. C               terme :  1 T1 T2 T1*T2 T1^2 T2^2 T1*T2^2 T1^2*T2 T1^3
  82. C               indice : 10   11      12        13        14   15
  83. C               terme :  T2^3 T1*T2^3 T1^2*T2^2 T1^3*T2^3 T1^4 T2^4
  84. C               indice : 16      17        18        19      20   21
  85. C               terme :  T1*T2^4 T1^2*T2^3 T1^3*T2^2 T1^4*T2 T1^5 T2^5
  86. C               indice : 22      23        24        25        26
  87. C               terme :  T1*T2^5 T1^2*T2^4 T1^3*T2^3 T1^4*T2^2 T1^5*T2
  88. C               indice : 27        28        29        30
  89. C               terme :  T1^2*T2^5 T1^3*T2^4 T1^4*T2^3 T1^5*T2^2
  90. C
  91.       CALL MULQP2(XNB4, XNB5, XNB)
  92.       CALL DERQP2(XNB, 1, DNB1)
  93.       CALL DERQP2(XNB, 2, DNB2)
  94.       DO 31 I = 1, 30
  95.          XN(1, I) = XNB(I)
  96.          DN(1, 1, I) = DNB1(I)
  97.          DN(2, 1, I) = DNB2(I)
  98.    31 CONTINUE
  99.       CALL MULQP2(XNB1, XNB4, XNB)
  100.       CALL DERQP2(XNB, 1, DNB1)
  101.       CALL DERQP2(XNB, 2, DNB2)
  102.       DO 32 I = 1, 30
  103.          XN(2, I) = XNB(I)
  104.          DN(1, 2, I) = DNB1(I)
  105.          DN(2, 2, I) = DNB2(I)
  106.    32 CONTINUE
  107.       CALL MULQP2(XNB1, XNB6, XNB)
  108.       CALL DERQP2(XNB, 1, DNB1)
  109.       CALL DERQP2(XNB, 2, DNB2)
  110.       DO 33 I = 1, 30
  111.          XN(3, I) = XNB(I)
  112.          DN(1, 3, I) = DNB1(I)
  113.          DN(2, 3, I) = DNB2(I)
  114.    33 CONTINUE
  115.       CALL DERQP2(XNB3, 1, DNB1)
  116.       CALL DERQP2(XNB3, 2, DNB2)
  117.       DO 34 I = 1, 30
  118.          XN(4, I) = XNB3(I)
  119.          DN(1, 4, I) = DNB1(I)
  120.          DN(2, 4, I) = DNB2(I)
  121.    34 CONTINUE
  122.       CALL MULQP2(XNB2, XNB7, XNB)
  123.       CALL DERQP2(XNB, 1, DNB1)
  124.       CALL DERQP2(XNB, 2, DNB2)
  125.       DO 35 I = 1, 30
  126.          XN(5, I) = XNB(I)
  127.          DN(1, 5, I) = DNB1(I)
  128.          DN(2, 5, I) = DNB2(I)
  129.    35 CONTINUE
  130.       CALL MULQP2(XNB2, XNB4, XNB)
  131.       CALL DERQP2(XNB, 1, DNB1)
  132.       CALL DERQP2(XNB, 2, DNB2)
  133.       DO 36 I = 1, 30
  134.          XN(6, I) = XNB(I)
  135.          DN(1, 6, I) = DNB1(I)
  136.          DN(2, 6, I) = DNB2(I)
  137.    36 CONTINUE
  138. C
  139. C     Vecteurs tangents a la coque dans la configuration initiale
  140. C
  141. C     Initialisation
  142.       DO 40 I = 1, 2
  143. C          Boucle sur les parametres
  144.          DO 40 J = 1, 3
  145. C             Boucle sur les composantes
  146.             DO 40 K = 1, 30
  147. C                Boucle sur les coefficients des polynomes
  148.                DX(I, J, K) = 0.D0
  149.    40 CONTINUE
  150. C     Calcul
  151.       DO 50 I = 1, 2
  152. C          Boucle sur les parametres
  153.          DO 50 J = 1, 3
  154. C             Boucle sur les composantes
  155.             DO 50 K = 1, 30
  156. C                Boucle sur les coefficients des polynomes
  157.                DO 50 L = 1, 6
  158. C                   Boucle sur les noeuds
  159.             DX(I, J, K) = DX(I, J, K) + XX(J, L)*DN(I, L, K)
  160.    50 CONTINUE
  161. C
  162. C     Calcul des termes de la matrice Kp
  163. C
  164. C     Initialisation
  165.       DO 55 I = 1, 36
  166.          DO 55 J = 1, 36
  167.             XDUM(I,J) = 0.D0
  168.    55       XKP(I, J) = 0.D0
  169. C     Calcul
  170.       DO 60 II = 1, 3
  171.          DO 60 IL = 1, 6
  172.             DO 60 IS = 1, 3
  173.                DO 60 IT = 1, 6
  174.                   XRES = 0.D0
  175.                   DO 70 J = 1, 3
  176.                      IFLAG = 0
  177.                      DO 71 K = 1, 30
  178.                         A(K) = XN(IL, K)
  179.                         D(K) = 0.D0
  180.    71                CONTINUE
  181.                      IF (SKRO(II, J, IS) .NE. 0.D0) THEN
  182.                         DO 81 K = 1, 30
  183.                            B(K) = DN(2, IT, K)
  184.                            C(K) = DX(1, J, K)
  185.    81                   CONTINUE
  186.                         CALL MULQP2(B, C, E)
  187.                         DO 72 K = 1, 30
  188.    72                      D(K) = SKRO(II, J, IS)*E(K)
  189.                         IFLAG = 1
  190.                      ENDIF
  191.                      IF (SKRO(II, IS, J) .NE. 0.D0) THEN
  192.                         DO 82 K = 1, 30
  193.                            B(K) = DN(1, IT, K)
  194.                            C(K) = DX(2, J, K)
  195.    82                   CONTINUE
  196.                         CALL MULQP2(B, C, E)
  197.                         IF (IFLAG .EQ. 1) THEN
  198.                            DO 73 K = 1, 30
  199.    73                         D(K) = D(K) + SKRO(II, IS, J)*E(K)
  200.                         ELSE
  201.                            DO 74 K = 1, 30
  202.    74                         D(K) = SKRO(II, IS, J)*E(K)
  203.                         ENDIF
  204.                         IFLAG = 1
  205.                      ENDIF
  206.                      IF (IFLAG .NE. 0) THEN
  207.                         CALL MULQP2(A, D, XTIN)
  208.                         CALL INT6P2(XTIN, TING)
  209.                         XRES = XRES + TING
  210.                      ENDIF
  211.    70             CONTINUE
  212.                   XRES = XRES*P
  213.    60             XDUM(6*(IL-1) + II, 6*(IT-1) + IS) = XRES
  214.       IF (IANT .EQ. 0) THEN
  215.          DO 90 II = 1, 36
  216.             DO 90 IJ = II, 36
  217.                XKP(II, IJ) = (XDUM(II, IJ) + XDUM(IJ, II))*0.5D0
  218.    90          XKP(IJ, II) = XKP(II, IJ)
  219.       ELSE
  220.          DO 91 II = 1, 36
  221.             DO 91 IJ = 1, 36
  222.    91          XKP(II, IJ) = XDUM(II, IJ)
  223.       ENDIF
  224.       RETURN
  225.       END
  226.  
  227.  
  228.  

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