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Upper Spectral Bound of Biharmonic Operator Eigenvalue Problem by Bicubic Hermite Element

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Abstract:

This paper uses the bicubic Hermite element to compute the first four eigenvalues of the vibration problem of clamped plate by Matlab program and gives upper bound of the exact eigenvalues. Combing Matlab experiments on Morley element for lower spectral bound we can provide a range of the exact eigenvalues of biharmonic operator more accurately.

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Periodical:

Advanced Materials Research (Volumes 466-467)

Pages:

430-434

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.466-467.430

Citation:

Cite this paper

Online since:

February 2012

Authors:

Shi Xian Ren, Yi Du Yang, Hai Bi

Keywords:

Bicubic Hermite Element, Biharmonic Operator, Eigenvalue, MATLAB

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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