Inequalities for eigenvalues of supported and free plates

DOI10.1090/qam/96440zbMath0084.20705OpenAlexW2565353325MaRDI QIDQ3252466

Lawrence E. Payne

Publication date: 1958

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/96440

zbMATH Keywords

mechanics of solids

Related Items (6)

Unrestricted lower bounds for eigenvalues for classes of elliptic equations and systems of equations with applications to problems in elasticity ⋮ Harmonic functions satisfying a radiation boundary condition ⋮ An isoperimetric inequality for fundamental tones of free plates ⋮ Upper and lower bounds for the frequencies of rectangular free plates ⋮ Inequalities for membrane and Stekloff eigenvalues ⋮ Vibrational modes of circular free plates under tension

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