Inequalities for Buckling of a Clamped Plate
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Ufuktepe, Ünal
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BRONZE
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Yes
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Abstract
We study the eigenvalue problems for the buckling of a clamped plate. The previous upper bound on low eigenvalues due to Payne, Pólya, and Weinberger, and Rile and Yeh are reviewed. Using methods similar to those used in bounding ratios of eigenvalues of the membrance problem, bounds for ratios of eigenvalues are found for the buckling of a clamped piate
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Keywords
Buckling, Eigenvalues and eigenfunctions, Clamped plates, Eigenvalue problem, Eigenvalues, Eigenvalues and eigenfunctions, Buckling, Eigenvalue problem, Eigenvalues, Clamped plates
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Ufuktepe, Ü., and Mchale, K. P. (2002). Inequalities for buckling of a clamped plate. Journal of Interdisciplinary Mathematics, 5(1), 41-47. doi:10.1080/09720502.2002.10700305
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Volume
5
Issue
1
Start Page
41
End Page
47
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Scopus : 1
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