Degeneration of a compound plate system to a membrane-plate system: A singularly perturbed transmission problem

DOI10.1007/BF01789471zbMath0478.73035OpenAlexW2048294752MaRDI QIDQ1161334

W. M. Greenlee

Publication date: 1981

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01789471

zbMATH Keywords

deflectionnatural frequenciestwo materialslaternal loadingone material of small flexural rigidityplate under tension

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Membranes (74K15)

Related Items (1)

Boundary Value Problems for Degenerate Elliptic-Parabolic Equations of the Fourth Order

Cites Work

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• Su un problema di trasmissione
• Singular perturbation problems for linear elliptic differential operators of arbitrary order. I: Degeneration to elliptic operators
• Singular perturbation of simple eigenvalues
• Phénomènes de perturbation singulière dans les problèmes aux limites
• Sulla regolarizzazione delle soluzioni di taluni problemi di trasmissione
• Rate of convergence in singular perturbations
• Sui problemi di trasmissione per due equazioni ellittiche di ordine diverso
• Perturbation theory of semi-bounded operators
• Differential operators on Riemannian manifolds
• Singular perturbation theory for semibounded operators

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