Eigen Command: Difference between revisions
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| style="background:lightgreen; color:black; width:800px" | '''eigen | | style="background:lightgreen; color:black; width:800px" | '''eigen <$solver> $numEigenvalues''' | ||
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| style="width:150px" | '''$numEigenvalues''' || number of eigenvalues required | | style="width:150px" | '''$numEigenvalues''' || number of eigenvalues required | ||
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| '''$solver'''|| optional string detailing type of solver: -genBandArpack, -fullGenLapack, -UmfPack, -SuperLU (default: -genBandArpack) | | '''$solver'''|| optional string detailing type of solver: -genBandArpack, -fullGenLapack, -UmfPack, -SuperLU (default: -genBandArpack) | ||
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THEORY: | THEORY: | ||
Generalized Problem: | Generalized Problem: |
Revision as of 00:28, 13 December 2013
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This command is used to perform the analysis.
eigen <$solver> $numEigenvalues |
$numEigenvalues | number of eigenvalues required |
$solver | optional string detailing type of solver: -genBandArpack, -fullGenLapack, -UmfPack, -SuperLU (default: -genBandArpack) |
RETURNS:
a tcl string containg eigenvalues.
NOTES:
- The eigenvectors are stored at the nodes and can be printed out using a Node Recorder, the nodeEigenvector command, or the Print command.
- The default eigensolver is able to solve only for N-1 eigenvalues, where N is the number of inertial DOFs. When running into this limitation the -fullGenLapack solver can be used instead of the default Arpack solver.
THEORY:
Generalized Problem:
- <math> \left (K - \lambda M \right ) \Phi = 0 </math>
EXAMPLE:
set eigenvalues [eigen 10];
Code Developed by: fmk