Shape deformation for vibrating hinged plates

DOI10.1002/mma.2858zbMath1282.35371OpenAlexW2170471055MaRDI QIDQ2870735

Pier Domenico Lamberti, Davide Buoso

Publication date: 21 January 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2858

zbMATH Keywords

intermediatebiharmonic operatordomain perturbationhinged plateSteklov boundary conditions

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Estimates of eigenvalues in context of PDEs (35P15) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (12)

On the variation of longitudinal and torsional frequencies in a partially hinged rectangular plate ⋮ On a Classical Spectral Optimization Problem in Linear Elasticity ⋮ Minimizing eigenvalues for inhomogeneous rods and plates ⋮ Spectral stability results for higher-order operators under perturbations of the domain ⋮ Spectral Optimization of Inhomogeneous Plates ⋮ Higher order elliptic operators on variable domains. Stability results and boundary oscillations for intermediate problems ⋮ On a hinged plate equation of nonconstant thickness ⋮ On a Babuška paradox for polyharmonic operators: spectral stability and boundary homogenization for intermediate problems ⋮ On the Eigenvalues of a Biharmonic Steklov Problem ⋮ Shape Differentiability of the Eigenvalues of Elliptic Systems ⋮ Analyticity and Criticality Results for the Eigenvalues of the Biharmonic Operator ⋮ A few shape optimization results for a biharmonic Steklov problem

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