C ******* BEAM ******** C ***** Beam Bending Analysis ***** DIMENSION X(51),NOC(50,2),NU(20),U(20),MAT(50),PM(5,3),SMI(50) DIMENSION S(102,15),F(102),MPC(10,2),BT(10,3),SE(4, 4) CHARACTER*16 FILE1, FILE2 CHARACTER*81 DUMMY, TITLE IMAX = 102 PRINT *, '**************************************' PRINT *, '* PROGRAM BEAM *' PRINT *, '* Beam Bending Analysis *' PRINT *, '* T.R.Chandrupatla and A.D.Belegundu *' PRINT *, '**************************************' PRINT *, 'Data File Name ' READ '(A)', FILE1 LINP = 10 OPEN (UNIT = 10, FILE = FILE1, STATUS = 'OLD') PRINT *, 'Output File Name' READ '(A)', FILE2 READ(LINP,'(A)') DUMMY READ(LINP,'(A)') TITLE READ(LINP,'(A)') DUMMY READ(LINP,*) NN, NE, NM, NDIM, NEN, NDN NQ = 2 * NN READ(LINP,'(A)') DUMMY READ(LINP,*) ND, NL, NMPC C --- Material property E NPR = 1 C ============ READ DATA FROM FILE =========== C ----- Coordinates ----- READ(LINP,'(A)') DUMMY DO 900 I = 1, NN 900 READ (LINP, *) N, X(N) C ----- Connectivity ----- READ(LINP,'(A)') DUMMY DO 1000 I=1,NE READ (LINP, *) N,NOC(N,1),NOC(N,2),MAT(N),SMI(N) 1000 CONTINUE C ----- Specified Displacements ----- READ(LINP,'(A)') DUMMY DO 1010 I = 1, ND 1010 READ (LINP, *) NU(I), U(I) C ----- Component Loads ----- READ(LINP,'(A)') DUMMY C ----- First initialize and then read loads ----- DO 1015 I=1, NQ 1015 F(I) = 0 DO 1020 I = 1, NL 1020 READ (LINP, *) N, F(N) C ----- Material Properties ----- READ(LINP,'(A)') DUMMY DO 1030 I = 1, NM 1030 READ (LINP, *) N, (PM(N, J), J = 1, NPR) C ----- Multi-point Constraints B1*Qi+B2*Qj=B0 IF (NMPC .GT. 0) THEN READ(LINP,'(A)') DUMMY DO 1040 I = 1, NMPC 1040 READ (LINP, *) BT(I, 1), MPC(I, 1), BT(I, 2), MPC(I, 2), BT(I, 3) END IF CLOSE(LINP) C ----- Bandwidth Evaluation ----- NBW = 0 DO 1050 N = 1, NE NABS = NDN * (ABS(NOC(N, 1) - NOC(N, 2)) + 1) IF (NBW .LT. NABS) NBW = NABS 1050 CONTINUE DO 1060 I = 1, NMPC NABS = ABS(MPC(I, 1) - MPC(I, 2)) + 1 IF (NBW .LT. NABS) NBW = NABS 1060 CONTINUE PRINT *, 'Bandwidth = ', NBW C ----- First initialize stiffness matrix DO 1070 I = 1, NQ DO 1070 J = 1, NBW 1070 S(I,J) = 0 C ----- Global Stiffness Matrix DO 1090 N = 1, NE PRINT *, 'Forming Stiffness Matrix of Element ', N N1 = NOC(N, 1) N2 = NOC(N, 2) M = MAT(N) EL = ABS(X(N1) - X(N2)) EIL = PM(M, 1) * SMI(N) / EL**3 SE(1, 1) = 12 * EIL SE(1, 2) = EIL * 6 * EL SE(1, 3) = -12 * EIL SE(1, 4) = EIL * 6 * EL SE(2, 1) = SE(1, 2) SE(2, 2) = EIL * 4 * EL * EL SE(2, 3) = -EIL * 6 * EL SE(2, 4) = EIL * 2 * EL * EL SE(3, 1) = SE(1, 3) SE(3, 2) = SE(2, 3) SE(3, 3) = EIL * 12 SE(3, 4) = -EIL * 6 * EL SE(4, 1) = SE(1, 4) SE(4, 2) = SE(2, 4) SE(4, 3) = SE(3, 4) SE(4, 4) = EIL * 4 * EL * EL PRINT *, '.... Placing in Global Locations' DO 1090 II = 1, NEN NRT = NDN * (NOC(N, II) - 1) DO 1090 IT = 1, NDN NR = NRT + IT I = NDN * (II - 1) + IT DO 1090 JJ = 1, NEN NCT = NDN * (NOC(N, JJ) - 1) DO 1090 JT = 1, NDN J = NDN * (JJ - 1) + JT NC = NCT + JT - NR + 1 IF (NC .GT. 0) THEN S(NR, NC) = S(NR, NC) + SE(I, J) END IF 1090 CONTINUE C ----- Decide Penalty Parameter CNST ----- CNST = 0 DO 1100 I = 1, NQ IF (CNST .LT. S(I, 1)) CNST = S(I, 1) 1100 CONTINUE CNST = CNST * 10000 C ----- Modify for Boundary Conditions ----- C --- Displacement BC --- DO 1110 I = 1, ND N = NU(I) S(N, 1) = S(N, 1) + CNST F(N) = F(N) + CNST * U(I) 1110 CONTINUE C --- Multi-point Constraints --- DO 1120 I = 1, NMPC I1 = MPC(I, 1) I2 = MPC(I, 2) S(I1, 1) = S(I1, 1) + CNST * BT(I, 1) * BT(I, 1) S(I2, 1) = S(I2, 1) + CNST * BT(I, 2) * BT(I, 2) IR = I1 IF (IR .GT.I2) IR = I2 IC = ABS(I2 - I1) + 1 S(IR, IC) = S(IR, IC) + CNST * BT(I, 1) * BT(I, 2) F(I1) = F(I1) + CNST * BT(I, 1) * BT(I, 3) F(I2) = F(I2) + CNST * BT(I, 2) * BT(I, 3) 1120 CONTINUE C ----- Equation Solving using Band Solver ----- CALL BAND(S, F, IMAX, NBW, NQ) LOUT = 11 OPEN (UNIT = 11, FILE = FILE2) WRITE(LOUT,'(1X,2A)') 'Output for Input Data from File ' ,FILE1 PRINT *, 'Output for Input Data from File ' ,FILE1 WRITE(LOUT,'(1X,A)') TITLE PRINT *, TITLE PRINT *, 'Node# Displ. Rotation' WRITE(LOUT,'(1X,A)') 'Node# Displ. Rotation' DO 1130 I = 1, NN WRITE (*, '(I4,2E15.4)') I,F(2*I-1),F(2*I) WRITE(LOUT, '(I4,2E15.4)') I,F(2*I-1),F(2*I) 1130 CONTINUE C ----- Reaction Calculation ----- PRINT *, 'DOF# Reaction' WRITE(LOUT,'(1X,A)') 'DOF# Reaction' DO 1140 I = 1, ND N = NU(I) R = CNST * (U(I) - F(N)) WRITE(*,'(1X,I4,E15.4)') N, R WRITE(LOUT,'(1X,I4,E15.4)') N, R 1140 CONTINUE CLOSE(LOUT) PRINT *, 'Results are now available in the text file ', FILE2 END SUBROUTINE BAND(A, B, IMAX, NBW, N) DIMENSION A(IMAX,NBW), B(IMAX) N1 = N - 1 PRINT *, '*** FORWARD ELIMINATION ***' DO 2100 K = 1, N1 NK = N - K + 1 IF(NK .GT. NBW) NK = NBW DO 2100 I = 2, NK C1 = A(K, I) / A(K, 1) I1 = K + I - 1 DO 2000 J = I, NK J1 = J - I + 1 2000 A(I1, J1) = A(I1, J1) - C1 * A(K, J) 2100 B(I1) = B(I1) - C1 * B(K) PRINT *, '*** BACK SUBSTITUTION ***' B(N) = B(N) / A(N, 1) DO 2300 KK = 1, N1 K = N - KK C1 = 1 / A(K, 1) B(K) = C1 * B(K) NK = N - K + 1 IF (NK .GT. NBW) NK = NBW DO 2200 J = 2, NK B(K) = B(K) - C1 * A(K, J) * B(K + J - 1) 2200 CONTINUE 2300 CONTINUE RETURN END