Modal analysis using FEM: Difference between revisions

Revision as of 07:17, 3 February 2013

Revision as of 08:27, 1 March 2013

Line 32:

This is the general form of the eigensystem encountered in structural

engineering using the [[Finite element method|FEM]]. To represent the free-vibration solutions of the structure harmonic motion is assumed,<ref>Bathe, KlauKlaus Jürgen, '' Finite Element Procedures'', 2nd Ed., Prentice-Hall Inc., New Jersey, 1996, page 786</ref> 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>),

Line 83:

*[[Eigenmode]]

*[[Quadratic eigenvalue problem]]

== Footnotes ==

{{Reflist}}

== References ==

{{Reflist}}

*Clough, Ray W. and Joseph Penzien, '' Dynamics of Structures'', 2nd Ed., McGraw-Hill Publishing Company, New York, 1993.

*Golub, Gene H. and C.F. Van Loan, '' Matrix Computations'', 3rd Ed., The Johns Hopkins University Press, Baltimore, 1996.

*Hughes, Thomas J. R., '' The Finite Element Method '', Prentice-Hall Inc., Englewood Cliffs, 1987.

*Thomson, William T., '' Theory of Vibration with Applications'', 3rd Ed., Prentice-Hall Inc., Englewood Cliffs, 1988.

*Bathe, Klau Jürgen, '' Finite Element Procedures'', 2nd Ed., Prentice-Hall Inc., New Jersey, 1996.

==External links==