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BCSSTK11: BCS Structural Engineering Matrices (eigenvalue matrices)
Ore car -- lumped mass

from set BCSSTRUC1, from the Harwell-Boeing Collection

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From generalized eigenvalue problem Kx=(lambda)Mx. This is matrix K; matrix M is BCSSTM11 from BCSSTRUC1 set.
BCSSTK11, BCSSTM11, BCSSTK12 and BCSSTM12 represent the lumped and consistent mass formulation for an ore car model. In both cases the consistent mass formulations lead to non-diagonal mass matrices. The eigenvalues from the two formulations of a model should be similar, but not necessarily equal.

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Structure Plot City Plot
structure plot city plot

Matrix Statistics

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Size Type
1473 x 1473, 17857 entries real symmetric positive definite
totaldiagonalbelow diagonalabove diagonalA-A'
34241 1473 16384 16384 0
Column Data Row Data
Average nonzeros per column : 23
Standard deviation : 6.7

longest55 33
shortest9 2

Average nonzeros per row : 23
Standard deviation : 6.7

longest55 33
shortest9 2

Bandwidths Profile Storage
lower651 upper651
average |i-j|62
lower bandwidth1 651 92 1.5e+02
upper bandwidth1 651 92 1.5e+02

Symmetric skyline storage requirement:135219

Heaviest diagonals
offset from main0 -1 1 -2 2 -3 3 -51 51 -50
nonzeros1473 1235 1235 1170 1170 1158 1158 969 969 836
accumulated percent 4.30 7.9111.5214.9318.3521.7325.1127.9430.7733.21

Top 10 out of 181 nonvoid diagonals.
Frobenius norm4.7e+09 condition number (est.)5.3e+08
2-norm (est.)6.6e+08 diagonal dominanceno

Set Information

Source: John Lewis, Boeing Computer Services, Seattle, Washington, USA
Discipline:Dynamic analyses in structural engineering
Accession:Summer 1982

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Last change in this page: Wed Sep 22 13:33:23 US/Eastern 2004 [Comments: ]