These matrices all represent dynamic analyses in structural engineering. They have been extracted from various structural engineering packages such as GT-STRUDL, MSC/NASTRAN, and BCS ATLAS. All of these matrices come in pairs. The first matrix, K, is the stiffness matrix while the second, M, is the mass matrix for the dynamic modeling of structures. Structural engineering requires the computations of a few modes, usually the lowest, of the generalized eigenvalue problem. Most of the matrices were extracted in the years 1980 to 1982.

Some of the collected problems demonstrate the effect of standard structural engineering techniques such as static condensation and lumped mass formulations.

Matrices in this set:

• BCSSTK01 (real symmetric positive definite, 48 by 48, 224 entries), Small test problem
• BCSSTK02 (real symmetric positive definite, 66 by 66, 2211 entries), Oil rig -- statically condensed
• BCSSTK03 (real symmetric positive definite, 112 by 112, 376 entries), Small test structure
• BCSSTK04 (real symmetric positive definite, 132 by 132, 1890 entries), Oil rig -- not condensed
• BCSSTK05 (real symmetric positive definite, 153 by 153, 1288 entries), Transmission tower
• BCSSTK06 (real symmetric positive definite, 420 by 420, 4140 entries), Medium test problem -- lumped mass
• BCSSTK07 (real symmetric positive definite, 420 by 420, 4140 entries), Medium test problem -- consistent mass
• BCSSTK08 (real symmetric positive definite, 1074 by 1074, 7017 entries), TV studio
• BCSSTK09 (real symmetric positive definite, 1083 by 1083, 9760 entries), Square plate clamped
• BCSSTK10 (real symmetric positive definite, 1086 by 1086, 11578 entries), Buckling of a hot washer
• BCSSTK11 (real symmetric positive definite, 1473 by 1473, 17857 entries), Ore car -- lumped mass
• BCSSTK12 (real symmetric positive definite, 1473 by 1473, 17857 entries), Ore car -- consistent mass
• BCSSTK13 (real symmetric positive definite, 2003 by 2003, 42943 entries), Fluid flow generalized eigenvalues
• BCSSTM01 (real symmetric positive semi-definite, 48 by 48, 48 entries), Small test problem
• BCSSTM02 (real symmetric positive definite, 66 by 66, 66 entries), Oil rig -- statically condensed
• BCSSTM03 (real symmetric positive semi-definite, 112 by 112, 112 entries), Small test structure
• BCSSTM04 (real symmetric positive semi-definite, 132 by 132, 132 entries), Oil rig -- not condensed
• BCSSTM05 (real symmetric positive semi-definite, 153 by 153, 153 entries), Transmission tower
• BCSSTM06 (real symmetric positive definite, 420 by 420, 420 entries), Medium test problem -- lumped mass
• BCSSTM07 (real symmetric positive semi-definite, 420 by 420, 3836 entries), Medium test problem -- consistent mass
• BCSSTM08 (real symmetric positive definite, 1074 by 1074, 1074 entries), TV studio
• BCSSTM09 (real symmetric positive definite, 1083 by 1083, 1083 entries), Square plate clamped
• BCSSTM10 (real symmetric positive semi-definite, 1086 by 1086, 11589 entries), Buckling of a hot washer
• BCSSTM11 (real symmetric positive definite, 1473 by 1473, 1473 entries), Ore car -- lumped mass
• BCSSTM12 (real symmetric positive semi-definite, 1473 by 1473, 10566 entries), Ore car -- consistent mass
• BCSSTM13 (real symmetric positive semi-definite, 2003 by 2003, 11973 entries), Fluid flow generalized eigenvalues
  
  
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