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Legendre spectral finite elements for structural dynamics analysis.
- Source :
-
Communications in Numerical Methods in Engineering . Dec2008, Vol. 24 Issue 12, p1953-1965. 13p. 4 Graphs. - Publication Year :
- 2008
-
Abstract
- Spectral, hierarchical, and h-type finite elements (FEs) are compared in the context of their application to structural dynamics analysis. The Timoshenko beam, which is the 1-D analog of Mindlin-type shell elements, is used for comparison in eigenvalue and transient-response analyses. A detailed formulation of each method is presented to illustrate clearly their fundamental differences. The principal advantages of spectral FEs over low-order h-type elements are (a) far superior accuracy for a fixed number of model degrees of freedom (DOF) and (b) much higher computational efficiency at a fixed accuracy level. The principal advantages over hierarchical p-type elements are (a) a mass matrix that is inherently diagonal as opposed to full, (b) DOF that pertain directly to nodal displacements and rotations, and (c) more efficient tensor-product factorization. Copyright © 2007 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10698299
- Volume :
- 24
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Communications in Numerical Methods in Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 35485634
- Full Text :
- https://doi.org/10.1002/cnm.1086