Modal analysis using FEM: Difference between revisions

Revision as of 15:52, 26 June 2010

Revision as of 15:54, 26 June 2010

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This is the general form of the eigensystem encountered in structural

engineering using the [[FEM]]. Further, harmonic motion, since itTo representsrepresent the free-vibration solutions of the structure, isharmonic typicallymotion is assumed <ref> Bathe, Klau Jürgen, '' Finite Element Procedures'', 2nd Ed., Prentice-Hall Inc., New Jersey, 1996, page 786 </ref>, forso thethat <math>[\ddot U]</math>

structure so that <math>[\ddot U]</math>

is taken to equal <math>\lambda [U]</math>,

where <math>\lambda</math> is an eigenvalue (with units of reciprocal time squared, e.g., <math>\mathrm{s}^{-2}</math>),