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Citation - Scopus: 1
Inequalities for Buckling of a Clamped Plate
(Taylor and Francis Ltd., 2002) Ufuktepe, Ünal; Mchale, K. P.
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
Citation - Scopus: 2
Inequalities for the Vibrating Clamped Plate Problem
(TUBITAK, 2001) Mchale, K. P.; Ufuktepe, Ünal
We study the eigenvalues of the vibrating clamped plate problem. We have made improvements on the bounds of the ratios of the eigenvalues of the biharmonic operator (clamped plate) using the methods of Payne, Polya, and Weinberger. The difference in our proof lies mainly with the trial functions and the orthogonality arguments. While Payne, Polya, and Weinberger and Hile and Yeh project away components along u1, u2,...,uk to meet the orthogonality conditions, we use a translation/rotation argument to meet these conditions.

Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection