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BCSSTK20: BCS Structural Engineering Matrices (eigenvalue problems)
Frame within a suspension bridge

from set BCSSTRUC3, from the Harwell-Boeing Collection

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From generalized eigenvalue problem Kx=(lambda)Mx. This is matrix K; matrix M is BCSSTM20 from BCSSTRUC3 set.
Siffness matrix is very poorly conditioned.


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Visualizations

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Structure Plot City Plot
structure plot city plot
3D Interactive City Plot

[ VRML Version 2, gzipped ] 450309 bytes


Matrix Statistics

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Size Type
485 x 485, 1810 entries real symmetric indefinite
Nonzeros
totaldiagonalbelow diagonalabove diagonalA-A'
3135 485 1325 1325 0
Column Data Row Data
Average nonzeros per column : 6.5
Standard deviation : 2.4

indexnonzeros
longest185 11
shortest2 2

Average nonzeros per row : 6.5
Standard deviation : 2.4

indexnonzeros
longest185 11
shortest2 2

Bandwidths Profile Storage
lower21 upper21
average |i-j|6 std.dev.4.9
minmaxave.std.dev.
lower bandwidth1 21 9.9 4.2
upper bandwidth1 21 9.9 4.2

Symmetric skyline storage requirement:4794

Heaviest diagonals
offset from main0 -1 1 -9 9 -2 2 -3 3 -10
nonzeros485 184 184 179 179 144 144 120 120 95
accumulated percent15.4721.3427.2132.9238.6343.2247.8151.6455.4758.50

Top 10 out of 41 nonvoid diagonals.
Conditioning
Frobenius norm2.9e+16 condition number (est.)7.5e+12
2-norm (est.)1.3e+16 diagonal dominanceno


Set Information

Set BCSSTRUC3
Source: John Lewis, Boeing Computer Services, Seattle, WA
Discipline:Dynamic analyses in structural engineering
Accession:Summer 1984 to spring 1985


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