Eigen Command: Difference between revisions

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(Fixed command for eigen, context assumed correct.)
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EXAMPLE:
EXAMPLE:


set eigenvalues [eigenvalue 10];  
set eigenvalues [eigen 10];  





Revision as of 01:59, 19 March 2012




This command is used to perform the analysis.

eigen <$type> <$solver> $numEigenvalues

$numEigenvalues number of eigenvalues required
$type optional string detailing type of eigen analysis: -standard or -generalized (default: -generalized)
$solver optional string detailing type of solver: -genBandArpack, -symmSparseArpack, -symmBandLapack, -fullGenLapack, -UmfPack, -SuperLU (default: -genBandArpack)


RETURNS:

a tcl string containg eigenvalues.


NOTES:

  1. The eigenvectors are stored at the nodes and can be printed out using a Node Recorder, the nodeEigenvector command, or the Print command.
  2. 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:

Standard Problem:

<math> \left (K - \lambda I \right ) \Phi = 0 </math>

Generalized Problem:

<math> \left (K - \lambda M \right ) \Phi = 0 </math>



EXAMPLE:

set eigenvalues [eigen 10];



Code Developed by: fmk