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WikiEditor50 (talk | contribs) →FEA eigensystems{{Technical inline|date=September 2024|reason='FEA' has not been defined or mentioned elsewhere in this article}}: clean up, replaced: Hooke's Law → Hooke's law |
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== FEA eigensystems{{Technical inline|date=September 2024|reason='FEA' has not been defined or mentioned elsewhere in this article}} ==
For the most basic problem involving a linear elastic material which obeys [[Hooke's
the [[Matrix (mathematics)|matrix]] equations take the form of a dynamic three-dimensional spring mass system.
The generalized equation of motion is given as:<ref>Clough, Ray W. and Joseph Penzien, ''Dynamics of Structures'', 2nd Ed.,
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