Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 197, Issue 49-50, Pages 4104-4124Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2008.04.006
Keywords
Structural vibrations; Wave propagation; Eigenvalue problems; Dispersion analysis; Finite elements; NURBS; B-splines; Acoustic branches; Optical branches; Frequency errors; Amplitude spectra; Frequency response spectra; Evanescent waves; Stopping bands
Funding
- Office of Naval Research [N00014-03-0263]
- J.T. Oden Faculty Fellowship Research Program
- ICES
- Regione Lombardia through the INGENIO [A0000800]
- Ministero dell'Universita e della Ricerca (MiUR) through the PRIN 2006 [2006083795]
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We study the discretization behavior of classical finite element and NURBS approximations on problems of structural vibrations and wave propagation. We find that, on the basis of equal numbers of degrees-of-freedom and bandwidth, NURBS have superior approximation properties. In fact, we observe that the high mode behavior of classical finite elements is divergent with the order of approximation, a surprisingly negative result. On the other hand, NURBS offer almost spectral approximation proper-ties, and all modes converge with increasing order of approximation. (c) 2008 Elsevier B.V. All rights reserved.
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