On Membranes and Plates
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Publication:5798605
DOI10.1073/pnas.36.3.210zbMath0039.20604OpenAlexW2093996482WikidataQ33710556 ScholiaQ33710556MaRDI QIDQ5798605
Publication date: 1950
Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1073/pnas.36.3.210
Related Items (26)
On Rayleigh's conjecture for the clamped plate and its generalization to three dimensions ⋮ Isoperimetric inequalities for eigenvalues of the Laplacian and the Schrödinger operator ⋮ The clamped plate in Gauss space ⋮ Existence of an optimal domain for the buckling load of a clamped plate with prescribed volume ⋮ Minimizing eigenvalues for inhomogeneous rods and plates ⋮ Lord Rayleigh's conjecture for vibrating clamped plates in positively curved spaces ⋮ Fundamental tones of clamped plates in nonpositively curved spaces ⋮ Minimization of the buckling load of a clamped plate with perimeter constraint ⋮ Towards the optimality of the ball for the Rayleigh conjecture concerning the clamped plate ⋮ A clamped plate with a uniform weight may change sign ⋮ Optimality conditions for the buckling of a clamped plate ⋮ Generalized tight \(p\)-frames and spectral bounds for Laplace-like operators ⋮ A boundary integral equation approach to computing eigenvalues of the Stokes operator ⋮ On the fundamental eigenfunctions of a clamped punctured disk ⋮ An isoperimetric inequality for fundamental tones of free plates ⋮ Block Five Diagonal Matrices and the Fast Numerical Solution of the Biharmonic Equation ⋮ Über die Rayleighsche Vermutung: Unter allen Platten von gegebener Fläche und konstanter Dichte und Elastizität hat die kreisförmige den tiefsten Grundton ⋮ The clamped-plate equation for the Limac con ⋮ A Talenti-type comparison theorem for \(\mathrm{RCD}(K,N)\) spaces and applications ⋮ Inequalities for membrane and Stekloff eigenvalues ⋮ An isoperimetric inequality for fundamental tones of free plates with nonzero Poisson’s ratio ⋮ Vibrational modes of circular free plates under tension ⋮ On Green's function for the biharmonic equation in a right angle wedge ⋮ Estimates for sums of eigenvalues of the free plate with nonzero Poisson’s ratio ⋮ A few shape optimization results for a biharmonic Steklov problem ⋮ Optimal shape of a domain which minimizes the first buckling eigenvalue
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