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Output of stiffness matrix

This is the output in several parts. First, the stiffness matrix.
Diagnostic:
[[  2.65333333e+04   0.00000000e+00  -1.32666667e+04   1.32666667e+04
    0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00
    0.00000000e+00]
 [  0.00000000e+00   7.85333333e+05   0.00000000e+00   0.00000000e+00
   -3.92666667e+05   0.00000000e+00   0.00000000e+00   0.00000000e+00
    0.00000000e+00]
 [ -1.32666667e+04   0.00000000e+00   1.76888889e+04  -1.81898940e-12
    0.00000000e+00  -8.84444444e+03   1.32666667e+04   0.00000000e+00
    0.00000000e+00]
 [  1.32666667e+04   0.00000000e+00  -1.81898940e-12   5.30666667e+04
    0.00000000e+00  -1.32666667e+04   1.32666667e+04   0.00000000e+00
    0.00000000e+00]
 [  0.00000000e+00  -3.92666667e+05   0.00000000e+00   0.00000000e+00
    5.89000000e+05   0.00000000e+00   0.00000000e+00  -1.96333333e+05
    0.00000000e+00]
 [  0.00000000e+00   0.00000000e+00  -8.84444444e+03  -1.32666667e+04
    0.00000000e+00   7.85333333e+25  -9.95000000e+03   0.00000000e+00
    3.31666667e+03]
 [  0.00000000e+00   0.00000000e+00   1.32666667e+04   1.32666667e+04
    0.00000000e+00  -9.95000000e+03   3.98000000e+04   0.00000000e+00
    6.63333333e+03]
 [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00
   -1.96333333e+05   0.00000000e+00   0.00000000e+00   1.96333333e+05
    0.00000000e+00]
 [  0.00000000e+00   0.00000000e+00   0.00000000e+00   0.00000000e+00
    0.00000000e+00   3.31666667e+03   6.63333333e+03   0.00000000e+00
    1.32666667e+04]

Notice in the listing of stiffness that the term (6,6) is 7.85333333e+25, which is large, compared with other diagonal terms of the structure stiffness matrix. Evidently, the program uses 1e20 as a large multiplier and the large diagonal terms of the structure stiffness matrix before modification was 7.85333333e+05. The product of the large multiplier and the greatest diagonal term is the large number, 7.85333333e+25, used in the solution.

The next table lists the structure load matrix, Ps, and the structure displacement matrix, us. Notice that the 6-th row of the load matrix is the prescribed (specified) displacement, multiplied by the large number. That insures that after the solution the corresponding term of us is the specified displacement.


Algis Kabaila 2006-12-03