ZigBee PRO配置编辑器向导指南

Zonal Phylogeny Software (ZPS)-开源

区域性系统发育软件（ZPS），具有蛋白质编码基因，可基于区域系统发育和相关的基于区域的统计信息，搜索近期/短期阳性选择的足迹。

zps-stg.github.io

$RD07ZPS.m

PROGRAM PLATE IMPLICIT NONE ! 定义问题参数 (根据问题描述) INTEGER :: NJ, NE, NZ, NPJ, NPS INTEGER :: IPS = 1 ! 平面应力问题 REAL :: E = 2.0e11, PR = 0.3, T = 0.1, V = 0.0 ! 材料属性 REAL :: SIGMA_XX = 20000.0 ! 施加的拉应力 (2000N/m / 0.1m = 20000Pa) ! 几何参数 REAL, PARAMETER :: LENGTH = 5.0, WIDTH = 1.0, HOLE_RADIUS = 0.3 REAL, PARAMETER :: HOLE_CENTER_X = 2.5, HOLE_CENTER_Y = 0.5 ! 定义数组 INTEGER, ALLOCATABLE :: LND(:,:) ! 单元连接 INTEGER, ALLOCATABLE :: JZ(:,:) ! 约束信息 REAL, ALLOCATABLE :: X(:), Y(:) ! 节点坐标 REAL, ALLOCATABLE :: AK(:,:), P(:), U(:) ! 总刚矩阵和向量 REAL, DIMENSION(3,3) :: D ! 弹性矩阵 ! 工作数组 REAL, ALLOCATABLE :: DXY(:,:) ! 约束位移值 REAL, ALLOCATABLE :: PJ(:,:) ! 集中力值 INTEGER, ALLOCATABLE :: NPP(:) ! 集中力节点号 REAL, ALLOCATABLE :: ZPS(:,:) ! 面力值 INTEGER, ALLOCATABLE :: MPS(:,:) ! 面力边界信息 ! 公共块定义 (与子程序兼容) COMMON /GLOBAL/ NJ, NE, NZ, NPJ, IPS, E, PR, T, V ! 生成网格 (带孔) PRINT , "Generating mesh with hole..." CALL GENERATE_MESH_WITH_HOLE(X, Y, LND, NJ, NE, LENGTH, WIDTH, & HOLE_RADIUS, HOLE_CENTER_X, HOLE_CENTER_Y) ! 设置边界条件 PRINT , "Setting boundary conditions..." NZ = COUNT(X < 0.01) ! 左边界节点数 ALLOCATE(JZ(NZ,3), DXY(NZ,2)) CALL SET_BOUNDARY_CONDITIONS(JZ, DXY, NZ, X, Y, NJ) ! 设置面力 (右边界) PRINT , "Setting surface forces..." NPS = COUNT(ABS(X - LENGTH) < 0.01) - 1 ! 右边界边数 ALLOCATE(MPS(NPS,2), ZPS(NPS,2)) CALL SET_SURFACE_FORCES(MPS, ZPS, NPS, SIGMA_XX, X, Y, NJ, LENGTH) ! 初始化其他数组 NPJ = 0 ALLOCATE(PJ(1,2), NPP(1)) ALLOCATE(AK(2NJ,2NJ), P(2NJ), U(2NJ)) AK = 0.0; P = 0.0; U = 0.0 ! 打印问题信息 PRINT , "==============================================" PRINT , "Finite Element Analysis of Perforated Plate" PRINT , "==============================================" PRINT , "Geometry: ", LENGTH, "m x ", WIDTH, "m with hole R=", HOLE_RADIUS, "m" PRINT , "Material Properties:" PRINT , " Young's Modulus (E) =", E PRINT , " Poisson's Ratio (PR) =", PR PRINT , " Thickness (T) =", T PRINT , "Boundary Conditions:" PRINT , " Fixed left edge, Tension on right edge =", SIGMA_XX, "Pa" PRINT , "Mesh Information:" PRINT , " Nodes =", NJ, "Elements =", NE PRINT , " Constraints =", NZ, "Surface Forces =", NPS PRINT , "----------------------------------------------" ! 计算弹性矩阵 PRINT , "Computing elasticity matrix..." CALL MD(D) ! 组装总刚度矩阵 PRINT , "Assembling global stiffness matrix..." CALL AKFORM(LND, X, Y, D, AK) ! 形成载荷向量 PRINT , "Forming load vector..." CALL PFORM(LND, X, Y, NPP, PJ, NPS, MPS, ZPS, P) ! 处理约束条件 PRINT , "Applying boundary constraints..." CALL RKR(NJ, NZ, JZ, AK, P, DXY) ! 求解方程组 PRINT , "Solving linear system (size:", 2NJ, ")..." CALL AGAUS(AK, P, 2NJ, U) ! 计算并输出应力 PRINT , "Computing element stresses..." CALL MADE(LND, D, X, Y, U) PRINT , "----------------------------------------------" PRINT , "Analysis complete! Results saved to result.txt" PRINT , "Node displacements and element stresses saved" ! 释放内存 DEALLOCATE(X, Y, LND, JZ, DXY, MPS, ZPS, PJ, NPP, AK, P, U) CONTAINS ! 生成带孔矩形板的网格 SUBROUTINE GENERATE_MESH_WITH_HOLE(X, Y, LND, NJ, NE, L, W, R, CX, CY) REAL, ALLOCATABLE, INTENT(OUT) :: X(:), Y(:) INTEGER, ALLOCATABLE, INTENT(OUT) :: LND(:,:) INTEGER, INTENT(OUT) :: NJ, NE REAL, INTENT(IN) :: L, W, R, CX, CY ! 网格参数 INTEGER, PARAMETER :: NX = 50, NY = 20 ! 网格密度 REAL :: DX, DY INTEGER :: I, J, K, NODE_ID, ELEM_ID REAL :: DIST, XPOS, YPOS LOGICAL :: IN_HOLE ! 计算节点总数 (排除孔内节点) NJ = 0 DX = L / REAL(NX-1) DY = W / REAL(NY-1) ! 第一次遍历: 计算节点数 DO J = 1, NY DO I = 1, NX XPOS = REAL(I-1)DX YPOS = REAL(J-1)DY ! 检查是否在孔内 DIST = SQRT((XPOS - CX)2 + (YPOS - CY)2) IN_HOLE = (DIST <= R) IF (.NOT. IN_HOLE) NJ = NJ + 1 END DO END DO ! 分配节点数组 ALLOCATE(X(NJ), Y(NJ)) ! 第二次遍历: 存储节点坐标 NODE_ID = 0 DO J = 1, NY DO I = 1, NX XPOS = REAL(I-1)DX YPOS = REAL(J-1)DY ! 检查是否在孔内 DIST = SQRT((XPOS - CX)2 + (YPOS - CY)2) IN_HOLE = (DIST <= R) IF (.NOT. IN_HOLE) THEN NODE_ID = NODE_ID + 1 X(NODE_ID) = XPOS Y(NODE_ID) = YPOS END IF END DO END DO ! 计算单元数 (四边形分成两个三角形) NE = 2 * (NX-1) * (NY-1) ALLOCATE(LND(NE,3)) ! 生成单元连接 (简化版本 - 实际应跳过孔边界单元) ELEM_ID = 0 DO J = 1, NY-1 DO I = 1, NX-1 ! 每个四边形分成两个三角形 ELEM_ID = ELEM_ID + 1 LND(ELEM_ID,1) = (J-1)NX + I LND(ELEM_ID,2) = (J-1)NX + I+1 LND(ELEM_ID,3) = JNX + I ELEM_ID = ELEM_ID + 1 LND(ELEM_ID,1) = (J-1)NX + I+1 LND(ELEM_ID,2) = JNX + I+1 LND(ELEM_ID,3) = JNX + I END DO END DO PRINT , " Generated mesh with", NJ, "nodes and", NE, "elements" END SUBROUTINE GENERATE_MESH_WITH_HOLE ! 设置边界条件 SUBROUTINE SET_BOUNDARY_CONDITIONS(JZ, DXY, NZ, X, Y, NJ) INTEGER, INTENT(OUT) :: JZ(:,:) REAL, INTENT(OUT) :: DXY(:,:) INTEGER, INTENT(IN) :: NZ REAL, INTENT(IN) :: X(:), Y(:) INTEGER, INTENT(IN) :: NJ INTEGER :: I, COUNT_CONSTRAINT = 0 REAL :: TOL = 1E-3 PRINT , " Setting", NZ, "boundary constraints" ! 左边界固定 (X=0) DO I = 1, NJ IF (X(I) < TOL) THEN COUNT_CONSTRAINT = COUNT_CONSTRAINT + 1 IF (COUNT_CONSTRAINT > NZ) EXIT JZ(COUNT_CONSTRAINT, 1) = I JZ(COUNT_CONSTRAINT, 2) = 1 ! X方向固定 JZ(COUNT_CONSTRAINT, 3) = 1 ! Y方向固定 DXY(COUNT_CONSTRAINT, 1) = 0.0 DXY(COUNT_CONSTRAINT, 2) = 0.0 END IF END DO END SUBROUTINE SET_BOUNDARY_CONDITIONS ! 设置面力 (右边界) SUBROUTINE SET_SURFACE_FORCES(MPS, ZPS, NPS, SIGMA, X, Y, NJ, LENGTH) INTEGER, INTENT(OUT) :: MPS(:,:) REAL, INTENT(OUT) :: ZPS(:,:) INTEGER, INTENT(IN) :: NPS, NJ REAL, INTENT(IN) :: SIGMA, X(:), Y(:), LENGTH INTEGER :: I, J, COUNT_FORCE = 0 REAL :: TOL = 1E-3 INTEGER, ALLOCATABLE :: RIGHT_NODES(:) INTEGER :: NUM_RIGHT_NODES = 0 ! 先找到右边界节点 ALLOCATE(RIGHT_NODES(NJ)) DO I = 1, NJ IF (ABS(X(I) - LENGTH) < TOL) THEN NUM_RIGHT_NODES = NUM_RIGHT_NODES + 1 RIGHT_NODES(NUM_RIGHT_NODES) = I END IF END DO ! 按Y坐标排序 DO I = 1, NUM_RIGHT_NODES-1 DO J = I+1, NUM_RIGHT_NODES IF (Y(RIGHT_NODES(I)) > Y(RIGHT_NODES(J))) THEN CALL SWAP_INT(RIGHT_NODES(I), RIGHT_NODES(J)) END IF END DO END DO ! 创建边界边 PRINT , " Applying surface tension to", NPS, "edges" DO I = 1, NUM_RIGHT_NODES-1 COUNT_FORCE = COUNT_FORCE + 1 IF (COUNT_FORCE > NPS) EXIT MPS(COUNT_FORCE, 1) = RIGHT_NODES(I) MPS(COUNT_FORCE, 2) = RIGHT_NODES(I+1) ZPS(COUNT_FORCE, 1) = SIGMA ! X方向应力 ZPS(COUNT_FORCE, 2) = 0.0 ! Y方向应力 END DO DEALLOCATE(RIGHT_NODES) END SUBROUTINE SET_SURFACE_FORCES SUBROUTINE SWAP_INT(A, B) INTEGER, INTENT(INOUT) :: A, B INTEGER :: TMP TMP = A A = B B = TMP END SUBROUTINE SWAP_INT ! 包含所有必要的有限元分析子程序 SUBROUTINE AKFORM(LND,X,Y,D,AK) IMPLICIT NONE INTEGER, INTENT(IN) :: LND(:,:) REAL, INTENT(IN) :: X(:), Y(:), D(3,3) REAL, INTENT(INOUT) :: AK(:,:) REAL :: AKE(6,6) INTEGER :: NJ, NE, NZ, NPJ, IPS REAL :: E, PR, T, V INTEGER :: IE, I, II, J, JJ, IH, IDH, JL, JDL, NODE_I, NODE_J COMMON /GLOBAL/ NJ, NE, NZ, NPJ, IPS, E, PR, T, V AK = 0.0 PRINT , " Assembling global stiffness from", NE, "elements" DO IE = 1, NE IF (IE > SIZE(LND,1)) CYCLE CALL MKE(IE,LND,X,Y,D,AKE) DO I = 1, 3 NODE_I = LND(IE,I) IF (NODE_I < 1 .OR. NODE_I > NJ) CYCLE DO II = 1, 2 IH = 2(I-1)+II IDH = 2(NODE_I-1)+II IF (IDH < 1 .OR. IDH > SIZE(AK,1)) CYCLE DO J = 1, 3 NODE_J = LND(IE,J) IF (NODE_J < 1 .OR. NODE_J > NJ) CYCLE DO JJ = 1, 2 JL = 2(J-1)+JJ JDL = 2(NODE_J-1)+JJ IF (JDL < 1 .OR. JDL > SIZE(AK,2)) CYCLE AK(IDH,JDL) = AK(IDH,JDL) + AKE(IH,JL) END DO END DO END DO END DO END DO ! 保存总刚矩阵 OPEN(10, FILE='AK.TXT') DO II = 1, MIN(2NJ, SIZE(AK,1)) WRITE(10,100) (AK(II,JJ), JJ = 1, MIN(2NJ, SIZE(AK,2))) END DO 100 FORMAT(1X, 10000E12.4) CLOSE(10) PRINT , " Global stiffness matrix assembled and saved" END SUBROUTINE AKFORM SUBROUTINE MKE(IE,LND,X,Y,D,AKE) IMPLICIT NONE INTEGER, INTENT(IN) :: IE, LND(:,:) REAL, INTENT(IN) :: X(:), Y(:), D(3,3) REAL, INTENT(OUT) :: AKE(6,6) REAL :: B(3,6), S(3,6), BT(6,3), AE INTEGER :: NJ, NE, NZ, NPJ, IPS REAL :: E, PR, T, V INTEGER :: J, K COMMON /GLOBAL/ NJ, NE, NZ, NPJ, IPS, E, PR, T, V CALL MA(IE,LND,X,Y,AE) CALL MB(IE,LND,X,Y,AE,B) CALL MS(D, B, S) ! 计算 B转置 DO J = 1, 6 DO K = 1, 3 BT(J,K) = B(K,J) END DO END DO ! 计算单元刚度矩阵: AKE = BT D * B * area * thickness CALL MTXMULT(BT,6,3, S,3,6,AKE) AKE = AKE * AE * T END SUBROUTINE MKE SUBROUTINE MA(IE,LND,X,Y,AE) IMPLICIT NONE INTEGER, INTENT(IN) :: IE, LND(:,:) REAL, INTENT(IN) :: X(:), Y(:) REAL, INTENT(OUT) :: AE INTEGER :: I, J, K REAL :: XIJ, YIJ, XIK, YIK I = LND(IE,1) J = LND(IE,2) K = LND(IE,3) XIJ = X(J)-X(I) YIJ = Y(J)-Y(I) XIK = X(K)-X(I) YIK = Y(K)-Y(I) AE = 0.5(XIJYIK - XIKYIJ) END SUBROUTINE MA SUBROUTINE MB(IE,LND,X,Y,AE,B) IMPLICIT NONE INTEGER, INTENT(IN) :: IE, LND(:,:) REAL, INTENT(IN) :: X(:), Y(:), AE REAL, INTENT(OUT) :: B(3,6) INTEGER :: I, J, M I = LND(IE,1) J = LND(IE,2) M = LND(IE,3) B = 0.0 B(1,1) = Y(J)-Y(M) B(1,3) = Y(M)-Y(I) B(1,5) = Y(I)-Y(J) B(2,2) = X(M)-X(J) B(2,4) = X(I)-X(M) B(2,6) = X(J)-X(I) B(3,1) = B(2,2) B(3,2) = B(1,1) B(3,3) = B(2,4) B(3,4) = B(1,3) B(3,5) = B(2,6) B(3,6) = B(1,5) B = B 0.5 / AE END SUBROUTINE MB SUBROUTINE MD(D) IMPLICIT NONE REAL, INTENT(OUT) :: D(3,3) INTEGER :: NJ, NE, NZ, NPJ, IPS REAL :: E, PR, T, V REAL :: D0 COMMON /GLOBAL/ NJ, NE, NZ, NPJ, IPS, E, PR, T, V D = 0.0 IF (IPS .EQ. 1) THEN ! 平面应力 D0 = E / (1.0 - PRPR) D(1,1) = D0 D(1,2) = D0 PR D(2,1) = D(1,2) D(2,2) = D0 D(3,3) = D0 * (1.0 - PR)/2.0 ELSE ! 平面应变 D0 = E(1-PR)/((1+PR)(1-2PR)) D(1,1) = D0 D(1,2) = D0PR/(1-PR) D(2,1) = D(1,2) D(2,2) = D0 D(3,3) = D0(1-2PR)/(2(1-PR)) END IF END SUBROUTINE MD SUBROUTINE MS(D, B, S) IMPLICIT NONE REAL, INTENT(IN) :: D(3,3), B(3,6) REAL, INTENT(OUT) :: S(3,6) CALL MTXMULT(D,3,3, B,3,6,S) END SUBROUTINE MS SUBROUTINE MTXMULT(A,M1,N1, B,M2,N2,C) IMPLICIT NONE INTEGER, INTENT(IN) :: M1, N1, M2, N2 REAL, INTENT(IN) :: A(M1,N1), B(M2,N2) REAL, INTENT(OUT) :: C(M1,N2) INTEGER :: I, J, K IF(N1.NE.M2) THEN WRITE(,) 'Matrix dimension mismatch in MTXMULT' WRITE(,) 'A:', M1, 'x', N1, 'B:', M2, 'x', N2 STOP END IF C = 0.0 DO I = 1, M1 DO J = 1, N2 DO K = 1, N1 C(I,J) = C(I,J) + A(I,K)B(K,J) END DO END DO END DO END SUBROUTINE MTXMULT SUBROUTINE PFORM(LND,X,Y, NPP, PJ, NPS,MPS,ZPS,P) IMPLICIT NONE INTEGER, INTENT(IN) :: LND(:,:), NPP(:), MPS(:,:), NPS REAL, INTENT(IN) :: X(:), Y(:), PJ(:,:), ZPS(:,:) REAL, INTENT(INOUT) :: P(:) INTEGER :: NJ, NE, NZ, NPJ, IPS REAL :: E, PR, T, V INTEGER :: II ! 声明循环变量 COMMON /GLOBAL/ NJ, NE, NZ, NPJ, IPS, E, PR, T, V P = 0.0 PRINT , " Forming load vector with:" PRINT , " Gravity load =", V PRINT , " Surface forces =", NPS PRINT , " Concentrated loads =", NPJ ! 重力载荷 IF (V .NE. 0.0) THEN CALL PVF(LND,X,Y,P) END IF ! 表面载荷 IF (NPS .NE. 0) THEN CALL PSF(NPS,MPS,ZPS,X,Y,P) END IF ! 集中载荷 IF (NPJ .NE. 0) THEN CALL PCF(NPJ,NPP, PJ,P) END IF ! 保存载荷向量 OPEN(20, FILE='P.TXT') DO II = 1, NJ WRITE(20,100) 'PX(',II,')=',P(2II-1),'PY(',II,')=',P(2II) END DO 100 FORMAT(1X, 2(A,I3,A,E12.4,3X)) CLOSE(20) END SUBROUTINE PFORM SUBROUTINE PVF(LND,X,Y,P) ! 重力 IMPLICIT NONE INTEGER, INTENT(IN) :: LND(:,:) REAL, INTENT(IN) :: X(:), Y(:) REAL, INTENT(INOUT) :: P(:) INTEGER :: NJ, NE, NZ, NPJ, IPS REAL :: E, PR, T, V INTEGER :: IE, I, II REAL :: AE, PE COMMON /GLOBAL/ NJ, NE, NZ, NPJ, IPS, E, PR, T, V DO IE = 1, NE IF (IE > SIZE(LND,1)) CYCLE CALL MA(IE, LND,X,Y,AE) PE = -V AE T / 3.0 ! 分配到每个节点 DO I = 1, 3 II = LND(IE,I) IF (II < 1 .OR. II > NJ) CYCLE P(2II) = P(2II) + PE ! Y方向 END DO END DO END SUBROUTINE PVF SUBROUTINE PCF(NPJ,NPP, PJ,P) ! 集中力 IMPLICIT NONE INTEGER, INTENT(IN) :: NPJ, NPP(:) REAL, INTENT(IN) :: PJ(:,:) REAL, INTENT(INOUT) :: P(:) INTEGER :: I, II DO I = 1, NPJ II = NPP(I) IF (II < 1 .OR. II > SIZE(P)/2) CYCLE P(2II-1) = P(2II-1) + PJ(I,1) ! X方向 P(2II) = P(2II) + PJ(I,2) ! Y方向 END DO END SUBROUTINE PCF SUBROUTINE PSF(NPS,MPS,ZPS,X,Y,P) ! 分布面力 IMPLICIT NONE INTEGER, INTENT(IN) :: NPS, MPS(:,:) REAL, INTENT(IN) :: ZPS(:,:), X(:), Y(:) REAL, INTENT(INOUT) :: P(:) INTEGER :: NJ, NE, NZ, NPJ, IPS REAL :: E, PR, T, V INTEGER :: I, N1, N2 REAL :: DX, DY, DZP, PX1, PY1, PX2, PY2 COMMON /GLOBAL/ NJ, NE, NZ, NPJ, IPS, E, PR, T, V DO I = 1, NPS IF (I > SIZE(MPS,1)) EXIT N1 = MPS(I,1) N2 = MPS(I,2) IF (N1 < 1 .OR. N1 > NJ .OR. N2 < 1 .OR. N2 > NJ) CYCLE DX = Y(N2) - Y(N1) DY = X(N1) - X(N2) DZP = ZPS(I,1) - ZPS(I,2) PX1 = (ZPS(I,2)/2.0 + DZP/3.0) * DX * T PY1 = (ZPS(I,2)/2.0 + DZP/3.0) * DY * T PX2 = (ZPS(I,2)/2.0 + DZP/6.0) * DX * T PY2 = (ZPS(I,2)/2.0 + DZP/6.0) * DY * T P(2N1-1) = P(2N1-1) + PX1 P(2N1) = P(2N1) + PY1 P(2N2-1) = P(2N2-1) + PX2 P(2N2) = P(2N2) + PY2 END DO END SUBROUTINE PSF SUBROUTINE RKR(NJ,NZ,JZ,AK,P, DXY) ! 约束处理 IMPLICIT NONE INTEGER, INTENT(IN) :: NJ, NZ, JZ(:,:) REAL, INTENT(IN) :: DXY(:,:) REAL, INTENT(INOUT) :: AK(:,:), P(:) INTEGER :: I, IR, J, II REAL :: LARGE_NUMBER = 1.0E20 PRINT , " Applying", NZ, "constraints with penalty method" DO I = 1, NZ IF (I > SIZE(JZ,1)) EXIT IR = JZ(I,1) DO J = 2, 3 IF(JZ(I,J) .NE. 0) THEN II = 2(IR-1) + J-1 IF (II < 1 .OR. II > SIZE(AK,1)) CYCLE AK(II,II) = AK(II,II) * LARGE_NUMBER P(II) = AK(II,II) * DXY(I,J-1) END IF END DO END DO END SUBROUTINE RKR SUBROUTINE AGAUS(A,B,N,X) ! 高斯消去法 IMPLICIT NONE INTEGER, INTENT(IN) :: N REAL, INTENT(INOUT) :: A(:,:), B(:) REAL, INTENT(OUT) :: X(:) REAL, ALLOCATABLE :: AM(:,:) REAL :: T INTEGER :: K, I, J ALLOCATE(AM(N,N)) AM = A ! 保存原始矩阵 PRINT , " Solving system with Gaussian elimination" ! 向前消元 DO K = 1, N-1 IF (ABS(A(K,K)) < 1e-10) THEN PRINT , "Zero pivot at ", K STOP END IF DO I = K+1, N A(I,K) = A(I,K)/A(K,K) DO J = K+1, N A(I,J) = A(I,J) - A(I,K)A(K,J) END DO B(I) = B(I) - A(I,K)B(K) END DO END DO ! 回代 X(N) = B(N)/A(N,N) DO I = N-1, 1, -1 T = 0.0 DO J = I+1, N T = T + A(I,J)X(J) END DO X(I) = (B(I) - T)/A(I,I) END DO A = AM ! 恢复原始矩阵 DEALLOCATE(AM) END SUBROUTINE AGAUS SUBROUTINE MADE(LND,D,X,Y,U) ! 应力计算 IMPLICIT NONE INTEGER, INTENT(IN) :: LND(:,:) REAL, INTENT(IN) :: D(3,3), X(:), Y(:), U(:) INTEGER :: NJ, NE, NZ, NPJ, IPS REAL :: E, PR, T, V INTEGER :: IE, I, J, IH, IW REAL :: AE, ST(3), UE(6), STX, STY, TXY, AST, RST, STMA, STMI REAL :: B(3,6), S(3,6) COMMON /GLOBAL/ NJ, NE, NZ, NPJ, IPS, E, PR, T, V OPEN(8, FILE='result.txt') WRITE(8,) 'NODE DISPLACEMENTS AND ELEMENT STRESSES' WRITE(8,10) 10 FORMAT(1X, 'ELEMENT', 6X, 'STX', 14X, 'STY', 14X, 'TXY', 14X, 'ST_MAX', 11X, 'ST_MIN') DO IE = 1, NE IF (IE > SIZE(LND,1)) CYCLE CALL MA(IE,LND,X,Y,AE) CALL MB(IE,LND,X,Y,AE,B) CALL MS(D, B, S) ! 提取单元位移 UE = 0.0 DO I = 1, 3 DO J = 1, 2 IH = 2(I-1)+J IW = 2(LND(IE,I)-1)+J IF (IW < 1 .OR. IW > SIZE(U)) CYCLE UE(IH) = U(IW) END DO END DO ! 计算应力 ST = 0.0 DO I = 1, 3 DO J = 1, 6 ST(I) = ST(I) + S(I,J)UE(J) END DO END DO ! 计算主应力 STX = ST(1) STY = ST(2) TXY = ST(3) AST = (STX+STY)0.5 RST = SQRT(0.25*(STX-STY)**2 + TXYTXY) STMA = AST + RST STMI = AST - RST WRITE(8,60) IE, STX, STY, TXY, STMA, STMI END DO 60 FORMAT(1X,I5,5E16.6) WRITE(8,70) 70 FORMAT(/,1X,'NODE DISPLACEMENTS',/,' NODE',10X,'UX',14X,'UY') DO I = 1, NJ WRITE(8,80) I, U(2I-1), U(2I) END DO 80 FORMAT(1X,I5,2E16.6) CLOSE(8) PRINT , " Results saved to result.txt" END SUBROUTINE MADE END PROGRAM PLATE 检查有无bug

均布拉力在x方向，所以每个节点的等效节点力为(σ*厚度*边长/2)在x方向FORCE_X=ZPS(I,1)*T*EDGE_LENGTH/2.0P(2*N1-1)=P(2*N1-1)+FORCE_XP(2*N2-1)=P(2*N2-1)+FORCE_X!如果有y方向分量，同样处理，但本例中ZPS(I,2)=0...

PROGRAM PLATE IMPLICIT NONE ! 定义问题参数 (移除PARAMETER属性) INTEGER :: NJ = 1000, NE = 1800, NZ = 100, NPJ = 0, NPS = 40 INTEGER :: IPS = 1 ! 平面应力问题 REAL :: E = 1000.0, PR = 0.0, T = 1.0, V = 0.0 ! 材料属性 REAL :: SIGMA_XX = 100.0 ! 施加的拉应力 ! 定义数组 (增大尺寸以适应实际需求) INTEGER, DIMENSION(500,3) :: LND ! 单元连接 INTEGER, DIMENSION(50,3) :: JZ ! 约束信息 REAL, DIMENSION(200) :: X, Y ! 节点坐标 REAL, DIMENSION(3,3) :: D ! 弹性矩阵 REAL, DIMENSION(2000,2000) :: AK ! 总刚度矩阵 (2NJ x 2NJ) REAL, DIMENSION(2000) :: P, U ! 载荷向量和位移向量 ! 工作数组 REAL, DIMENSION(50,2) :: DXY ! 约束位移值 REAL, DIMENSION(50,2) :: PJ ! 集中力值 REAL, DIMENSION(50,2) :: ZPS ! 面力值 INTEGER, DIMENSION(50) :: NPP ! 集中力节点号 INTEGER, DIMENSION(50,2) :: MPS ! 面力边界信息 ! 公共块定义 (与1.txt中的子程序兼容) COMMON /GLOBAL/ NJ, NE, NZ, NPJ, IPS, E, PR, T, V ! 生成网格 PRINT , "Generating mesh..." CALL GENERATE_MESH(X, Y, LND, NJ, NE) ! 设置边界条件 PRINT , "Setting boundary conditions..." CALL SET_BOUNDARY_CONDITIONS(JZ, DXY, NZ, X, Y, NJ) ! 设置面力 PRINT , "Setting surface forces..." CALL SET_SURFACE_FORCES(MPS, ZPS, NPS, SIGMA_XX, X, Y, NJ) ! 打印问题信息 PRINT , "==============================================" PRINT , "Finite Element Analysis of Perforated Plate" PRINT , "==============================================" PRINT , "Geometry: 8m x 4m with 0.5m radius hole" PRINT , "Material Properties:" PRINT , " Young's Modulus (E) =", E PRINT , " Poisson's Ratio (PR) =", PR PRINT , " Thickness (T) =", T PRINT , "Boundary Conditions:" PRINT , " Fixed left edge, Tension on right edge =", SIGMA_XX PRINT , "Mesh Information:" PRINT , " Nodes =", NJ, "Elements =", NE PRINT , " Constraints =", NZ, "Surface Forces =", NPS PRINT , "----------------------------------------------" ! 计算弹性矩阵 PRINT , "Computing elasticity matrix..." CALL MD(D) ! 组装总刚度矩阵 PRINT , "Assembling global stiffness matrix..." CALL AKFORM(LND, X, Y, D, AK) ! 形成载荷向量 PRINT , "Forming load vector..." CALL PFORM(LND, X, Y, NPP, PJ, NPS, MPS, ZPS, P) ! 处理约束条件 PRINT , "Applying boundary constraints..." CALL RKR(NJ, NZ, JZ, AK, P, DXY) ! 求解方程组 PRINT , "Solving linear system (size:", 2NJ, ")..." CALL AGAUS(AK, P, 2NJ, U) ! 计算并输出应力 PRINT , "Computing element stresses..." CALL MADE(LND, D, X, Y, U) PRINT , "----------------------------------------------" PRINT , "Analysis complete! Results saved to result.txt" PRINT , "Global stiffness matrix saved to AK.TXT" PRINT , "Load vector saved to P.TXT" CONTAINS ! 生成带孔矩形板的网格 (示例实现) SUBROUTINE GENERATE_MESH(X, Y, LND, NJ, NE) REAL, INTENT(OUT) :: X(:), Y(:) INTEGER, INTENT(OUT) :: LND(:,:) INTEGER, INTENT(IN) :: NJ, NE INTEGER :: I, IE ! 实际网格生成代码 (简化示例) PRINT , " Generating mesh with", NJ, "nodes and", NE, "elements" ! 这里应该有完整的网格生成逻辑 ! 为演示目的，简单初始化 DO I = 1, NJ X(I) = REAL(I-1)0.1 Y(I) = REAL(MOD(I,20))0.2 END DO DO IE = 1, NE LND(IE,1) = IE LND(IE,2) = IE+1 LND(IE,3) = IE+2 END DO END SUBROUTINE GENERATE_MESH ! 设置边界条件 SUBROUTINE SET_BOUNDARY_CONDITIONS(JZ, DXY, NZ, X, Y, NJ) INTEGER, INTENT(OUT) :: JZ(:,:) REAL, INTENT(OUT) :: DXY(:,:) INTEGER, INTENT(IN) :: NZ, NJ REAL, INTENT(IN) :: X(:), Y(:) INTEGER :: I, COUNT_CONSTRAINT = 0 REAL :: TOL = 1E-5 PRINT , " Setting", NZ, "boundary constraints" ! 左边界固定 (X=0) DO I = 1, NJ IF (ABS(X(I)) < TOL) THEN COUNT_CONSTRAINT = COUNT_CONSTRAINT + 1 IF (COUNT_CONSTRAINT > NZ) EXIT JZ(COUNT_CONSTRAINT, 1) = I JZ(COUNT_CONSTRAINT, 2) = 1 ! X方向固定 JZ(COUNT_CONSTRAINT, 3) = 1 ! Y方向固定 DXY(COUNT_CONSTRAINT, 1) = 0.0 DXY(COUNT_CONSTRAINT, 2) = 0.0 END IF END DO END SUBROUTINE SET_BOUNDARY_CONDITIONS ! 设置面力 SUBROUTINE SET_SURFACE_FORCES(MPS, ZPS, NPS, SIGMA, X, Y, NJ) INTEGER, INTENT(OUT) :: MPS(:,:) REAL, INTENT(OUT) :: ZPS(:,:) INTEGER, INTENT(IN) :: NPS, NJ REAL, INTENT(IN) :: SIGMA, X(:), Y(:) INTEGER :: I, COUNT_FORCE = 0 REAL :: RIGHT_BOUND = 8.0, TOL = 1E-5 PRINT , " Applying surface tension to", NPS, "edges" ! 右边界施加拉应力 (X=8) DO I = 1, NJ-1 IF (ABS(X(I) - RIGHT_BOUND) < TOL .AND. ABS(X(I+1) - RIGHT_BOUND) < TOL) THEN COUNT_FORCE = COUNT_FORCE + 1 IF (COUNT_FORCE > NPS) EXIT MPS(COUNT_FORCE, 1) = I MPS(COUNT_FORCE, 2) = I+1 ZPS(COUNT_FORCE, 1) = SIGMA ! X方向应力 ZPS(COUNT_FORCE, 2) = 0.0 ! Y方向应力 END IF END DO END SUBROUTINE SET_SURFACE_FORCES ! 包含所有必要的有限元分析子程序 ! 从1.txt中复制并稍作修改以适应本程序 SUBROUTINE AKFORM(LND,X,Y,D,AK) IMPLICIT NONE INTEGER, INTENT(IN) :: LND(500,3) REAL, INTENT(IN) :: X(200), Y(200), D(3,3) REAL, INTENT(OUT) :: AK(2000,2000) REAL :: AKE(6,6) INTEGER :: NJ, NE, NZ, NPJ, IPS REAL :: E, PR, T, V INTEGER :: IE, I, II, J, JJ, IH, IDH, JL, JDL COMMON /GLOBAL/ NJ, NE, NZ, NPJ, IPS, E, PR, T, V AK = 0.0 PRINT , " Assembling global stiffness from", NE, "elements" DO IE = 1, NE CALL MKE(IE,LND,X,Y,D,AKE) DO I = 1, 3 DO II = 1, 2 IH = 2(I-1)+II IDH = 2(LND(IE,I)-1)+II DO J = 1, 3 DO JJ = 1, 2 JL = 2(J-1)+JJ JDL = 2(LND(IE,J)-1)+JJ AK(IDH,JDL) = AK(IDH,JDL) + AKE(IH,JL) END DO END DO END DO END DO END DO ! 保存总刚矩阵 OPEN(10, FILE='AK.TXT') DO II = 1, 2NJ WRITE(10,100) (AK(II,JJ), JJ = 1, 2NJ) END DO 100 FORMAT(1X, 2000E12.4) CLOSE(10) PRINT , " Global stiffness matrix assembled and saved" END SUBROUTINE AKFORM SUBROUTINE MKE(IE,LND,X,Y,D,AKE) IMPLICIT NONE INTEGER, INTENT(IN) :: IE, LND(500,3) REAL, INTENT(IN) :: X(200), Y(200), D(3,3) REAL, INTENT(OUT) :: AKE(6,6) REAL :: B(3,6), S(3,6), BT(6,3), AE INTEGER :: NJ, NE, NZ, NPJ, IPS REAL :: E, PR, T, V INTEGER :: J, K COMMON /GLOBAL/ NJ, NE, NZ, NPJ, IPS, E, PR, T, V CALL MA(IE,LND,X,Y,AE) CALL MB(IE,LND,X,Y,AE,B) CALL MS(D, B, S) ! 计算 B转置 DO J = 1, 6 DO K = 1, 3 BT(J,K) = B(K,J) END DO END DO ! 计算单元刚度矩阵: AKE = BT * D * B * area * thickness CALL MTXMULT(BT,6,3, S,3,6,AKE) AKE = AKE * AE * T END SUBROUTINE MKE SUBROUTINE MA(IE,LND,X,Y,AE) IMPLICIT NONE INTEGER, INTENT(IN) :: IE, LND(500,3) REAL, INTENT(IN) :: X(200), Y(200) REAL, INTENT(OUT) :: AE INTEGER :: I, J, K REAL :: XIJ, YIJ, XIK, YIK I = LND(IE,1) J = LND(IE,2) K = LND(IE,3) XIJ = X(J)-X(I) YIJ = Y(J)-Y(I) XIK = X(K)-X(I) YIK = Y(K)-Y(I) AE = 0.5(XIJYIK - XIKYIJ) END SUBROUTINE MA SUBROUTINE MB(IE,LND,X,Y,AE,B) IMPLICIT NONE INTEGER, INTENT(IN) :: IE, LND(500,3) REAL, INTENT(IN) :: X(200), Y(200), AE REAL, INTENT(OUT) :: B(3,6) INTEGER :: I, J, M I = LND(IE,1) J = LND(IE,2) M = LND(IE,3) B = 0.0 B(1,1) = Y(J)-Y(M) B(1,3) = Y(M)-Y(I) B(1,5) = Y(I)-Y(J) B(2,2) = X(M)-X(J) B(2,4) = X(I)-X(M) B(2,6) = X(J)-X(I) B(3,1) = B(2,2) B(3,2) = B(1,1) B(3,3) = B(2,4) B(3,4) = B(1,3) B(3,5) = B(2,6) B(3,6) = B(1,5) B = B 0.5 / AE END SUBROUTINE MB SUBROUTINE MD(D) IMPLICIT NONE REAL, INTENT(OUT) :: D(3,3) INTEGER :: NJ, NE, NZ, NPJ, IPS REAL :: E, PR, T, V REAL :: D0 COMMON /GLOBAL/ NJ, NE, NZ, NPJ, IPS, E, PR, T, V D = 0.0 IF (IPS .EQ. 1) THEN ! 平面应力 D0 = E / (1.0 - PRPR) D(1,1) = D0 D(1,2) = D0 PR D(2,1) = D(1,2) D(2,2) = D0 D(3,3) = D0 * (1.0 - PR)/2.0 ELSE ! 平面应变 D0 = E(1-PR)/((1+PR)(1-2PR)) D(1,1) = D0 D(1,2) = D0PR/(1-PR) D(2,1) = D(1,2) D(2,2) = D0 D(3,3) = D0(1-2PR)/(2(1-PR)) END IF END SUBROUTINE MD SUBROUTINE MS(D, B, S) IMPLICIT NONE REAL, INTENT(IN) :: D(3,3), B(3,6) REAL, INTENT(OUT) :: S(3,6) CALL MTXMULT(D,3,3, B,3,6,S) END SUBROUTINE MS SUBROUTINE MTXMULT(A,M1,N1, B,M2,N2,C) IMPLICIT NONE INTEGER, INTENT(IN) :: M1, N1, M2, N2 REAL, INTENT(IN) :: A(M1,N1), B(M2,N2) REAL, INTENT(OUT) :: C(M1,N2) INTEGER :: I, J, K IF(N1.NE.M2) THEN WRITE(,) 'Matrix dimension mismatch in MTXMULT' STOP END IF C = 0.0 DO I = 1, M1 DO J = 1, N2 DO K = 1, N1 C(I,J) = C(I,J) + A(I,K)B(K,J) END DO END DO END DO END SUBROUTINE MTXMULT SUBROUTINE PFORM(LND,X,Y, NPP, PJ, NPS,MPS,ZPS,P) IMPLICIT NONE INTEGER, INTENT(IN) :: LND(500,3), NPP(50), MPS(50,2), NPS REAL, INTENT(IN) :: X(200), Y(200), PJ(50,2), ZPS(50,2) REAL, INTENT(OUT) :: P(2000) INTEGER :: NJ, NE, NZ, NPJ, IPS REAL :: E, PR, T, V ! 添加循环变量声明 INTEGER :: II ! 声明循环变量 COMMON /GLOBAL/ NJ, NE, NZ, NPJ, IPS, E, PR, T, V P = 0.0 PRINT , " Forming load vector with:" PRINT , " Gravity load =", V PRINT , " Surface forces =", NPS PRINT , " Concentrated loads =", NPJ ! 重力载荷 IF (V .NE. 0.0) THEN CALL PVF(LND,X,Y,P) END IF ! 表面载荷 IF (NPS .NE. 0) THEN CALL PSF(NPS,MPS,ZPS,X,Y,P) END IF ! 集中载荷 IF (NPJ .NE. 0) THEN CALL PCF(NPJ,NPP, PJ,P) END IF ! 保存载荷向量 OPEN(20, FILE='P.TXT') DO II = 1, NJ WRITE(20,100) 'PX(',II,')=',P(2II-1),'PY(',II,')=',P(2II) END DO 100 FORMAT(1X, 2(A,I3,A,E12.4,3X)) CLOSE(20) END SUBROUTINE PFORM SUBROUTINE PVF(LND,X,Y,P) ! 重力 IMPLICIT NONE INTEGER, INTENT(IN) :: LND(500,3) REAL, INTENT(IN) :: X(200), Y(200) REAL, INTENT(INOUT) :: P(2000) INTEGER :: NJ, NE, NZ, NPJ, IPS REAL :: E, PR, T, V INTEGER :: IE, I, II REAL :: AE, PE COMMON /GLOBAL/ NJ, NE, NZ, NPJ, IPS, E, PR, T, V DO IE = 1, NE CALL MA(IE, LND,X,Y,AE) PE = -V AE T / 3.0 ! 分配到每个节点 DO I = 1, 3 II = LND(IE,I) P(2II) = P(2II) + PE ! Y方向 END DO END DO END SUBROUTINE PVF SUBROUTINE PCF(NPJ,NPP, PJ,P) ! 集中力 IMPLICIT NONE INTEGER, INTENT(IN) :: NPJ, NPP(50) REAL, INTENT(IN) :: PJ(50,2) REAL, INTENT(INOUT) :: P(2000) INTEGER :: I, II DO I = 1, NPJ II = NPP(I) P(2II-1) = P(2II-1) + PJ(I,1) ! X方向 P(2II) = P(2II) + PJ(I,2) ! Y方向 END DO END SUBROUTINE PCF SUBROUTINE PSF(NPS,MPS,ZPS,X,Y,P) ! 分布面力 IMPLICIT NONE INTEGER, INTENT(IN) :: NPS, MPS(50,2) REAL, INTENT(IN) :: ZPS(50,2), X(200), Y(200) REAL, INTENT(INOUT) :: P(2000) INTEGER :: NJ, NE, NZ, NPJ, IPS REAL :: E, PR, T, V INTEGER :: I, N1, N2 REAL :: DX, DY, DZP, PX1, PY1, PX2, PY2 COMMON /GLOBAL/ NJ, NE, NZ, NPJ, IPS, E, PR, T, V DO I = 1, NPS N1 = MPS(I,1) N2 = MPS(I,2) DX = Y(N2) - Y(N1) DY = X(N1) - X(N2) DZP = ZPS(I,1) - ZPS(I,2) PX1 = (ZPS(I,2)/2.0 + DZP/3.0) * DX * T PY1 = (ZPS(I,2)/2.0 + DZP/3.0) * DY * T PX2 = (ZPS(I,2)/2.0 + DZP/6.0) * DX * T PY2 = (ZPS(I,2)/2.0 + DZP/6.0) * DY * T P(2N1-1) = P(2N1-1) + PX1 P(2N1) = P(2N1) + PY1 P(2N2-1) = P(2N2-1) + PX2 P(2N2) = P(2N2) + PY2 END DO END SUBROUTINE PSF SUBROUTINE RKR(NJ,NZ,JZ,AK,P, DXY) ! 约束处理 IMPLICIT NONE INTEGER, INTENT(IN) :: NJ, NZ, JZ(50,3) REAL, INTENT(IN) :: DXY(50,2) REAL, INTENT(INOUT) :: AK(2000,2000), P(2000) INTEGER :: I, IR, J, II REAL :: LARGE_NUMBER = 1.0E20 PRINT , " Applying", NZ, "constraints with penalty method" DO I = 1, NZ IR = JZ(I,1) DO J = 2, 3 IF(JZ(I,J) .NE. 0) THEN II = 2(IR-1) + J-1 AK(II,II) = AK(II,II) * LARGE_NUMBER P(II) = AK(II,II) * DXY(I,J-1) END IF END DO END DO END SUBROUTINE RKR SUBROUTINE AGAUS(A,B,N,X) ! 高斯消去法 IMPLICIT NONE INTEGER, INTENT(IN) :: N REAL, INTENT(INOUT) :: A(N,N), B(N) REAL, INTENT(OUT) :: X(N) REAL :: AM(N,N), T INTEGER :: K, I, J PRINT , " Solving system with Gaussian elimination" ! 向前消元 DO K = 1, N-1 DO I = K+1, N AM(I,K) = A(I,K)/A(K,K) DO J = K, N A(I,J) = A(I,J) - AM(I,K)A(K,J) END DO B(I) = B(I) - AM(I,K)B(K) END DO END DO ! 回代 X(N) = B(N)/A(N,N) DO I = N-1, 1, -1 T = 0.0 DO J = I+1, N T = T + A(I,J)X(J) END DO X(I) = (B(I) - T)/A(I,I) END DO END SUBROUTINE AGAUS SUBROUTINE MADE(LND,D,X,Y,U) ! 应力计算 IMPLICIT NONE INTEGER, INTENT(IN) :: LND(500,3) REAL, INTENT(IN) :: D(3,3), X(200), Y(200), U(2000) INTEGER :: NJ, NE, NZ, NPJ, IPS REAL :: E, PR, T, V INTEGER :: IE, I, J, IH, IW REAL :: AE, ST(3), UE(6), STX, STY, TXY, AST, RST, STMA, STMI REAL :: B(3,6), S(3,6) COMMON /GLOBAL/ NJ, NE, NZ, NPJ, IPS, E, PR, T, V OPEN(8, FILE='result.txt') WRITE(8,) 'NODE DISPLACEMENTS AND ELEMENT STRESSES' WRITE(8,10) 10 FORMAT(1X, 'ELEMENT', 6X, 'STX', 14X, 'STY', 14X, 'TXY', 14X, 'ST_MAX', 11X, 'ST_MIN') DO IE = 1, NE CALL MA(IE,LND,X,Y,AE) CALL MB(IE,LND,X,Y,AE,B) CALL MS(D, B, S) ! 提取单元位移 DO I = 1, 3 DO J = 1, 2 IH = 2(I-1)+J IW = 2(LND(IE,I)-1)+J UE(IH) = U(IW) END DO END DO ! 计算应力 DO I = 1, 3 ST(I) = 0.0 DO J = 1, 6 ST(I) = ST(I) + S(I,J)UE(J) END DO END DO ! 计算主应力 STX = ST(1) STY = ST(2) TXY = ST(3) AST = (STX+STY)0.5 RST = SQRT(0.25(STX-STY)**2 + TXYTXY) STMA = AST + RST STMI = AST - RST WRITE(8,60) IE, STX, STY, TXY, STMA, STMI END DO 60 FORMAT(1X,I5,5E16.6) WRITE(8,70) 70 FORMAT(/,1X,'NODE DISPLACEMENTS',/,' NODE',10X,'UX',14X,'UY') DO I = 1, NJ WRITE(8,80) I, U(2I-1), U(2I) END DO 80 FORMAT(1X,I5,2E16.6) CLOSE(8) PRINT , " Results saved to result.txt" END SUBROUTINE MADE END PROGRAM PLATE

AK(IDH:IDH+1, JDL:JDL+1) = AK(IDH:IDH+1, JDL:JDL+1) + AKE(2*I-1:2*I, 2*J-1:2*J) END DO END DO END DO END SUBROUTINE ``` **原理**：遍历所有单元，计算每个三角形单元的6x6刚度矩阵，并根据节点编号组装...

SUBROUTINE AKFORM(LND,X,Y,D,AK) DIMENSION LND(500,3),X(200),Y(200), AK(1000,1000), AKE(6,6), D(3,3) COMMON NJ,NE,NZ,NPJ,IPS,E,PR,T,V AK=0.0 DO IE=1,NE CALL MKE(IE,LND,X,Y,D,AKE) DO I=1,3 !单元刚度矩阵含33个22子矩阵 ---行对应 !代表单元中第I个节点，其在总体模型中的节点编号为LND(IE,I) DO II=1,2 !子矩阵行（与两个方向对应） IH=2(I-1)+II ! 元素在单元刚度矩阵中行号（AKE（IH，？）） IDH=2(LND(IE,I)-1)+II !元素在总刚中行号-单元IE第I个节点号对应的行 ! AK（IDH，？）） DO J=1,3 !代表单元中第J个节点，其在总体模型中的节点编号为LND(IE,J) DO JJ=1,2 !子矩阵列 -----列对应 JL=2(J-1)+JJ !元素单元刚度矩阵中列号（AKE（IH，JL）） JDL=2(LND(IE,J)-1)+JJ !元素在总刚中列号-单元IE第J个节点号对应的列 AK(IDH,JDL)=AK(IDH,JDL)+AKE(IH,JL) END DO END DO END DO END DO END DO OPEN(10,FILE='AK.TXT') DO II=1,2NJ WRITE(10,100)(AK(II,JJ),JJ=1, 2NJ) ENDDO 100 FORMAT(1X, 1000E10.2) CLOSE(10) PRINT , 'Global stiffness matrix is complete' END ! 输入数据子程序 SUBROUTINE INPUT(LND,X,Y,JZ,DXY, NPP, PJ, NPS, MPS, ZPS) ! PLANE STRESS/STRAIN PROBLEM ANSLYSIS PROGRAM DIMENSION LND(500,3),X(200),Y(200),JZ(50,3), DXY(50,2) DIMENSION NPP(50), PJ(50,2), MPS(50,2), ZPS(50,2) COMMON NJ,NE,NZ,NPJ,IPS,E,PR,T,V !读入数据 OPEN(6,FILE='INDATA.TXT',STATUS='OLD') OPEN(8,FILE='OUT.DAT') READ(6,) IPS READ(6,) NJ,NE READ(6,) NZ,NPJ,NPS READ(6,)E,PR,T,V DO I=1,NJ READ(6,)X(I),Y(I) ENDDO DO I=1,NE READ(6,)(LND(I,J),J=1,3) ENDDO DO I=1,NZ READ(6,) (JZ(I,J),J=1,3), (DXY(I,J), J=1,2) ENDDO DO I=1,NPJ !读集中力 READ(6,) NPP(I), (PJ(I,J),J=1,2) ENDDO DO I=1,NPS !读面力结点编号 READ(6,)(MPS(I,J),J=1,2) ENDDO DO I=1,NPS !节点法向面力 READ(6,)(ZPS(I,J),J=1,2) ENDDO !打印 WRITE(8,) 'NJ,NE,NZ,NPJ,NPS' WRITE(8,100) NJ,NE,NZ,NPJ,NPS 100 FORMAT(2X,5I4) WRITE(8,) 'IPS,E,PR,T,V' WRITE(8,101) IPS,E,PR,T,V 101 FORMAT(2X,I4,2X,E10.4,3F6.2) WRITE(8,) 'NODE COORDINATE(X, Y) ' DO I=1,NJ WRITE(8,200)I,X(I),Y(I) ENDDO 200 FORMAT(I4, 2E15.6) WRITE(8,) 'ELEMENT' DO I=1,NE WRITE(8,300)I, (LND(I,J),J=1,3) ENDDO 300 FORMAT(4I4) WRITE(8,) 'CONSTRAINTS' DO I=1,NZ WRITE (8,301) (JZ(I,J),J=1,3), DXY(I,1) , DXY(I,2) ENDDO 301 FORMAT(3I4, 2F8.2) WRITE(8, )'Concentrated Forces' DO I=1,NPJ WRITE (8,400) NPP(I),(PJ(I,J),J=1,2) ENDDO 400 FORMAT(I4,2X, 2(E15.6,2X)) ! 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