The solution of the problem of deflection of an elastic thin plate by the joint action of dynamical lateral pressure, force in central surface and external field on the elastic base

DOI10.1007/BF01904923zbMath0577.73050OpenAlexW2041347942MaRDI QIDQ1065609

Hui-chuan Shen

Publication date: 1984

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01904923

zbMATH Keywords

deflectiongeneral solutionEuler equationelastic thin platejoint actiondynamical lateral pressureexternal field on the elastic baseforce in central surfaceprinciple of quantum electrodynamicsreduced to a Schrödinger type equationsolution of Lamé equation

Mathematics Subject Classification ID

Plates (74K20) Electromagnetic effects in solid mechanics (74F15) Electromagnetic interaction; quantum electrodynamics (81V10) Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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General equations, double hormonic equations and eigen-equations in problems of ideal plasticity ⋮ The theory of functions of a complex variable under Dirac-Pauli representation and its application in fluid dynamics. I ⋮ Solutions of magnetohydrodynamics equations - The theory of functions of a complex variable under Dirac-Pauli representation and its application in fluid dynamics. IV ⋮ Exact solution of the Boltzmann equation ⋮ The Schrödinger equation in theory of plates and shells with orthorhombic anisotropy ⋮ Further study of the relation of von Kármán equation for elastic large deflection problem and Schrödinger equation for quantum eigenvalue problem ⋮ The application of Dirac matrices and Pauli matrices for the theory of plasticity ⋮ Dissipation mechanics and exact solutions for nonlinear equations of dissipative type. Principle and application of dissipation mechanics. I ⋮ The relation between the von Kármán equation for the elastic large deflection problem and the Schrödinger equation for the quantum eigenvalues problem

Cites Work

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