On Some Classes of Three-dimensional Dynamic Problems of Plates and Shells and an Asymptotic Method of Solving Them

DOI10.1007/978-3-030-47491-1_1zbMath1476.74047OpenAlexW3034075941MaRDI QIDQ3382699

L. A. Aghalovyan

Publication date: 21 September 2021

Published in: Analysis of Shells, Plates, and Beams (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-47491-1_1

zbMATH Keywords

singular perturbationasymptotic solutionboundary layerforced vibrationresonanceorthotropic plate

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Shells (74K25)

Cites Work

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• Linear pantographic sheets: asymptotic micro-macro models identification
• On the use of the first order shear deformation plate theory for the analysis of three-layer plates with thin soft core layer
• On Some Classes of 3D Boundary-Value Problems of Statics and Dynamics of Plates and Shells
• Two-Dimensional Model of a Plate, Made of Material with the General Anisotropy
• An asymptotic decoupling method for waves in layered media
• Derivation of an approximate theory of bending of a plate by the method of asymptotic integration of the equations of the theory of elasticity

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