Effective dimensional reduction algorithm for eigenvalue problems for thin elastic structures: A paradigm in three dimensions
Published in Proceedings of the National Academy of Sciences • Feb 1, 2000
NobleIDNI0P43W73R88S62
Authors:,
Evgueni E. Ovtchinnikov
Leonidas S. Xanthis
Abstract
We present a methodology for the efficient numerical solution of eigenvalue problems of full three-dimensional elasticity for thin elastic structures, such as shells, plates and rods of arbitrary geometry, discretized by the finite element method. Such problems are solved by iterative methods, which...
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