K.P. MCHALE, U. UFUKTEPE

6188

Inequalities for the Vibrating Clamped Plate Problem

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.

Anahtar Kelimeler:

Turk. J. Math., 25, (2001), 283-298. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.25, iss.2.

Inequalities for the Vibrating Clamped Plate Problem

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.

Keywords:

Turk. J. Math., 25, (2001), 283-298. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.25, iss.2.,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

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