=================================== PROFILE =================================== node dof1 dof2 dof3 ---------------------------------------------------- 1 -1 -2 -3 2 1 2 3 3 4 5 6 4 7 8 9 5 10 11 12 6 13 14 15 7 16 17 18 8 19 20 21 9 22 23 24 10 25 26 27 11 28 29 30 ---------------------------------------------------- =========================================================================== Title : DESCRIPTION OF FINITE ELEMENT MESH =========================================================================== ======================= Profile of Problem Size ======================= Dimension of Problem = 2 Number Nodes = 11 Degrees of Freedom per node = 3 Max No Nodes Per Element = 2 Number Elements = 10 Number Element Attributes = 1 Number Loaded Nodes = 1 Number Loaded Elements = 0 =================================================== Node# X_coord Y_coord Tx Ty =================================================== 1 0.0000e+00 m 0.0000e+00 m -1 -2 -3 2 5.0000e+00 m 0.0000e+00 m 1 2 3 3 1.0000e+01 m 0.0000e+00 m 4 5 6 4 1.5000e+01 m 0.0000e+00 m 7 8 9 5 2.0000e+01 m 0.0000e+00 m 10 11 12 6 2.5000e+01 m 0.0000e+00 m 13 14 15 7 3.0000e+01 m 0.0000e+00 m 16 17 18 8 3.5000e+01 m 0.0000e+00 m 19 20 21 9 4.0000e+01 m 0.0000e+00 m 22 23 24 10 4.5000e+01 m 0.0000e+00 m 25 26 27 11 5.0000e+01 m 0.0000e+00 m 28 29 30 ==================================================================== Element# Type node[1] node[2] Element_Attr_Name ====================================================================== 1 GEXACT_2D 1 2 rodproperties 2 GEXACT_2D 2 3 rodproperties 3 GEXACT_2D 3 4 rodproperties 4 GEXACT_2D 4 5 rodproperties 5 GEXACT_2D 5 6 rodproperties 6 GEXACT_2D 6 7 rodproperties 7 GEXACT_2D 7 8 rodproperties 8 GEXACT_2D 8 9 rodproperties 9 GEXACT_2D 9 10 rodproperties 10 GEXACT_2D 10 11 rodproperties ====================== Element Attribute Data ====================== Element Attribute No 1 : name = "rodproperties" : section = "rodsection" : material = "rodmaterial" : type = GEXACT_2D EXTERNAL NODAL LOADINGS ================================================ Node# Fx (N) Fy (N) Mz (N.m) ================================================ 11 0.00 0.00 125663.71 ============= End of Finite Element Mesh Description ============== *** ====================================== *** Initial Configuration *** L2norm(unbalance force) = 1.257e+05 *** Relative error : err = 1.0 *** ====================================== Node : 1 x = 0 m y = 0 m Node : 2 x = 5 m y = 0 m Node : 3 x = 10 m y = 0 m Node : 4 x = 15 m y = 0 m Node : 5 x = 20 m y = 0 m Node : 6 x = 25 m y = 0 m Node : 7 x = 30 m y = 0 m Node : 8 x = 35 m y = 0 m Node : 9 x = 40 m y = 0 m Node : 10 x = 45 m y = 0 m Node : 11 x = 50 m y = 0 m *** =================================== *** Iteration No = 1 *** L2norm(unbalance force) = 39.8 *** Relative error : err = 0.0003168 *** =================================== Node : 1 x = 0 m y = 0 m Node : 2 x = 8.761 m y = 1.143 m Node : 3 x = 14.67 m y = 4.676 m Node : 4 x = 17.48 m y = 8.099 m Node : 5 x = 18.33 m y = 10.17 m Node : 6 x = 17.94 m y = 10.73 m Node : 7 x = 16.65 m y = 9.196 m Node : 8 x = 15.85 m y = 4.88 m Node : 9 x = 17.72 m y = -1.178 m Node : 10 x = 22.74 m y = -6.002 m Node : 11 x = 28.62 m y = -7.373 m *** =================================== *** Iteration No = 2 *** L2norm(unbalance force) = 236.7 *** Relative error : err = 0.001884 *** =================================== Node : 1 x = 0 m y = 0 m Node : 2 x = 4.688 m y = 1.829 m Node : 3 x = 7.714 m y = 6.189 m Node : 4 x = 7.815 m y = 11.57 m Node : 5 x = 4.941 m y = 15.95 m Node : 6 x = 0.2978 m y = 17.74 m Node : 7 x = -4.257 m y = 16.45 m Node : 8 x = -7.004 m y = 12.75 m Node : 9 x = -6.954 m y = 8.137 m Node : 10 x = -4.142 m y = 4.387 m Node : 11 x = 0.4046 m y = 2.951 m *** =================================== *** Iteration No = 3 *** L2norm(unbalance force) = 15.59 *** Relative error : err = 0.0001241 *** =================================== Node : 1 x = 0 m y = 0 m Node : 2 x = 4.578 m y = 1.49 m Node : 3 x = 7.405 m y = 5.378 m Node : 4 x = 7.409 m y = 10.18 m Node : 5 x = 4.591 m y = 14.07 m Node : 6 x = 0.0203 m y = 15.56 m Node : 7 x = -4.558 m y = 14.07 m Node : 8 x = -7.389 m y = 10.17 m Node : 9 x = -7.387 m y = 5.356 m Node : 10 x = -4.554 m y = 1.46 m Node : 11 x = 0.02579 m y = -0.02776 m *** =================================== *** Iteration No = 4 *** L2norm(unbalance force) = 0.3496 *** Relative error : err = 2.782e-06 *** =================================== Node : 1 x = 0 m y = 0 m Node : 2 x = 4.579 m y = 1.488 m Node : 3 x = 7.409 m y = 5.383 m Node : 4 x = 7.409 m y = 10.2 m Node : 5 x = 4.579 m y = 14.09 m Node : 6 x = 3.496e-05 m y = 15.58 m Node : 7 x = -4.579 m y = 14.09 m Node : 8 x = -7.409 m y = 10.2 m Node : 9 x = -7.409 m y = 5.384 m Node : 10 x = -4.579 m y = 1.489 m Node : 11 x = -0.0001976 m y = 0.001029 m *** =================================== *** Iteration No = 5 *** L2norm(unbalance force) = 0.004895 *** Relative error : err = 3.896e-08 *** =================================== Node : 1 x = 0 m y = 0 m Node : 2 x = 4.579 m y = 1.488 m Node : 3 x = 7.409 m y = 5.383 m Node : 4 x = 7.409 m y = 10.2 m Node : 5 x = 4.579 m y = 14.09 m Node : 6 x = 8.56e-05 m y = 15.58 m Node : 7 x = -4.579 m y = 14.09 m Node : 8 x = -7.409 m y = 10.2 m Node : 9 x = -7.409 m y = 5.383 m Node : 10 x = -4.579 m y = 1.488 m Node : 11 x = -0.0001491 m y = -1.674e-05 m ============================================================ Node Displacement No displ-x displ-y rot-z ============================================================ units m m rad 1 0.00000e+00 0.00000e+00 0.00000e+00 2 -4.21012e-01 1.48780e+00 6.28317e-01 3 -2.59103e+00 5.38290e+00 1.25663e+00 4 -7.59101e+00 1.01975e+01 1.88495e+00 5 -1.54209e+01 1.40927e+01 2.51327e+00 6 -2.49999e+01 1.55805e+01 3.14158e+00 7 -3.45789e+01 1.40928e+01 3.76990e+00 8 -4.24089e+01 1.01977e+01 4.39822e+00 9 -4.74090e+01 5.38304e+00 5.02653e+00 10 -4.95791e+01 1.48787e+00 5.65485e+00 11 -5.00001e+01 -1.67447e-05 6.28317e+00 Coordinates of Displaced Rod ============================ 1 0 m 0 m 2 4.579 m 1.488 m 3 7.409 m 5.383 m 4 7.409 m 10.2 m 5 4.579 m 14.09 m 6 8.56e-05 m 15.58 m 7 -4.579 m 14.09 m 8 -7.409 m 10.2 m 9 -7.409 m 5.383 m 10 -4.579 m 1.488 m 11 -0.0001491 m -1.674e-05 m MATRIX : "xResponse" row/col 1 2 3 4 5 6 units m m m m m m 1 0.00000e+00 0.00000e+00 0.00000e+00 0.00000e+00 0.00000e+00 0.00000e+00 2 5.00000e+00 8.76083e+00 4.68766e+00 4.57847e+00 4.57898e+00 4.57899e+00 3 1.00000e+01 1.46739e+01 7.71446e+00 7.40477e+00 7.40908e+00 7.40897e+00 4 1.50000e+01 1.74807e+01 7.81464e+00 7.40930e+00 7.40917e+00 7.40899e+00 5 2.00000e+01 1.83325e+01 4.94103e+00 4.59098e+00 4.57913e+00 4.57905e+00 6 2.50000e+01 1.79427e+01 2.97813e-01 2.03014e-02 3.49552e-05 8.55967e-05 7 3.00000e+01 1.66467e+01 -4.25729e+00 -4.55787e+00 -4.57900e+00 -4.57892e+00 8 3.50000e+01 1.58493e+01 -7.00365e+00 -7.38893e+00 -7.40897e+00 -7.40894e+00 9 4.00000e+01 1.77232e+01 -6.95421e+00 -7.38724e+00 -7.40902e+00 -7.40901e+00 10 4.50000e+01 2.27395e+01 -4.14204e+00 -4.55444e+00 -4.57914e+00 -4.57911e+00 11 5.00000e+01 2.86226e+01 4.04634e-01 2.57861e-02 -1.97649e-04 -1.49067e-04 MATRIX : "yResponse" row/col 1 2 3 4 5 6 units m m m m m m 1 0.00000e+00 0.00000e+00 0.00000e+00 0.00000e+00 0.00000e+00 0.00000e+00 2 0.00000e+00 1.14340e+00 1.82883e+00 1.49010e+00 1.48783e+00 1.48780e+00 3 0.00000e+00 4.67605e+00 6.18896e+00 5.37772e+00 5.38307e+00 5.38290e+00 4 0.00000e+00 8.09901e+00 1.15667e+01 1.01794e+01 1.01980e+01 1.01975e+01 5 0.00000e+00 1.01716e+01 1.59456e+01 1.40680e+01 1.40934e+01 1.40927e+01 6 0.00000e+00 1.07252e+01 1.77390e+01 1.55576e+01 1.55813e+01 1.55805e+01 7 0.00000e+00 9.19612e+00 1.64476e+01 1.40720e+01 1.40936e+01 1.40928e+01 8 0.00000e+00 4.87995e+00 1.27475e+01 1.01745e+01 1.01986e+01 1.01977e+01 9 0.00000e+00 -1.17794e+00 8.13657e+00 5.35619e+00 5.38401e+00 5.38304e+00 10 0.00000e+00 -6.00206e+00 4.38704e+00 1.45979e+00 1.48890e+00 1.48787e+00 11 0.00000e+00 -7.37326e+00 2.95121e+00 -2.77625e-02 1.02881e-03 -1.67447e-05 MEMBER FORCES ------------------------------------------------------------------------------ Elmt No 1 : Coords : (x1, y1) = ( 0.000 m , 0.000 m) : (x2, y2) = ( 5.000 m , 0.000 m) Fx1 = 2.52081e-08 N Fy1 = -1.06192e-07 N Mz1 = -1.25664e+05 N.m Fx2 = -2.52081e-08 N Fy2 = 1.06192e-07 N Mz2 = 1.25664e+05 N.m Elmt No 2 : Coords : (x1, y1) = ( 5.000 m , 0.000 m) : (x2, y2) = ( 10.000 m , 0.000 m) Fx1 = 3.78303e-07 N Fy1 = 7.21508e-07 N Mz1 = -1.25664e+05 N.m Fx2 = -3.78303e-07 N Fy2 = -7.21508e-07 N Mz2 = 1.25664e+05 N.m Elmt No 3 : Coords : (x1, y1) = ( 10.000 m , 0.000 m) : (x2, y2) = ( 15.000 m , 0.000 m) Fx1 = -2.94656e-07 N Fy1 = 1.25764e-06 N Mz1 = -1.25664e+05 N.m Fx2 = 2.94656e-07 N Fy2 = -1.25764e-06 N Mz2 = 1.25664e+05 N.m Elmt No 4 : Coords : (x1, y1) = ( 15.000 m , 0.000 m) : (x2, y2) = ( 20.000 m , 0.000 m) Fx1 = -9.76676e-07 N Fy1 = 7.60633e-07 N Mz1 = -1.25664e+05 N.m Fx2 = 9.76676e-07 N Fy2 = -7.60633e-07 N Mz2 = 1.25664e+05 N.m Elmt No 5 : Coords : (x1, y1) = ( 20.000 m , 0.000 m) : (x2, y2) = ( 25.000 m , 0.000 m) Fx1 = -7.66394e-07 N Fy1 = -1.93671e-08 N Mz1 = -1.25664e+05 N.m Fx2 = 7.66394e-07 N Fy2 = 1.93671e-08 N Mz2 = 1.25664e+05 N.m Elmt No 6 : Coords : (x1, y1) = ( 25.000 m , 0.000 m) : (x2, y2) = ( 30.000 m , 0.000 m) Fx1 = -1.19623e-07 N Fy1 = -1.36710e-07 N Mz1 = -1.25664e+05 N.m Fx2 = 1.19623e-07 N Fy2 = 1.36710e-07 N Mz2 = 1.25664e+05 N.m Elmt No 7 : Coords : (x1, y1) = ( 30.000 m , 0.000 m) : (x2, y2) = ( 35.000 m , 0.000 m) Fx1 = 9.39448e-08 N Fy1 = 2.24460e-07 N Mz1 = -1.25664e+05 N.m Fx2 = -9.39448e-08 N Fy2 = -2.24460e-07 N Mz2 = 1.25664e+05 N.m Elmt No 8 : Coords : (x1, y1) = ( 35.000 m , 0.000 m) : (x2, y2) = ( 40.000 m , 0.000 m) Fx1 = -1.29726e-07 N Fy1 = 3.50053e-07 N Mz1 = -1.25664e+05 N.m Fx2 = 1.29726e-07 N Fy2 = -3.50053e-07 N Mz2 = 1.25664e+05 N.m Elmt No 9 : Coords : (x1, y1) = ( 40.000 m , 0.000 m) : (x2, y2) = ( 45.000 m , 0.000 m) Fx1 = -2.45165e-07 N Fy1 = 1.41412e-07 N Mz1 = -1.25664e+05 N.m Fx2 = 2.45165e-07 N Fy2 = -1.41412e-07 N Mz2 = 1.25664e+05 N.m Elmt No 10 : Coords : (x1, y1) = ( 45.000 m , 0.000 m) : (x2, y2) = ( 50.000 m , 0.000 m) Fx1 = -1.16294e-07 N Fy1 = -1.25033e-08 N Mz1 = -1.25664e+05 N.m Fx2 = 1.16294e-07 N Fy2 = 1.25033e-08 N Mz2 = 1.25664e+05 N.m
Developed in 2000 by Mark Austin,
Copyright © 2000, Mark Austin, University of Maryland.