Abstract: The paper discusses examples of exact solutions of the boundary problem on the bending of a thin elastic semi-infinite plate, in which the long sides are free, and at the end are self-balanced bending moment and generalized shear force are specified. The solutions are obtained in the form of the series in Papkovich–Fadle eigenfunctions. The unknown expansions coefficients are determined by formulas and are expressed via the Fourier integrals of the boundary functions specified at the plate side.Note: Research direction:Mathematical modelling in actual problems of science and technic
Explicit and exact three-dimensional solutions are derived for the equilib- rium problem of plate-li...
Approximate solutions for the non-linear bending of thin rectangular plates are presented considerin...
In the article, the authors present their new formulation of the problem of the boundary value of na...
Abstract: On the example of the boundary value problem of bending of a thin elastic semi-i...
The paper considers the method suggested by Papkovich for rectangular plates and its application for...
Based on the first-order shear deformation theory, an exact solution for sandwich plates with dissim...
Mathematical models of deformation of elastic plates are used by applied mathematicians and engineer...
Free planar and bending interfacial and boundary vibrations of semi infinite composed plates and pla...
This paper addresses the fascinating long history of the classical problem of bending of a thin rect...
International audienceWe propose a model of flexural elastic plates accounting for boundary layer ef...
This article aims at analytically solving the free vibration problem of rectangular thin plates with...
This book explains in detail the generalized Fourier series technique for the approximate solution o...
This paper deals with problems of transverse displacements of thin elastic plates occupying the foll...
The problem of bending of a rectangular plate with clamped edges has attracted attention of authors ...
Bending vibration and buckling of non-uniform plate with time-dependent boundary conditions M Saeidi...
Explicit and exact three-dimensional solutions are derived for the equilib- rium problem of plate-li...
Approximate solutions for the non-linear bending of thin rectangular plates are presented considerin...
In the article, the authors present their new formulation of the problem of the boundary value of na...
Abstract: On the example of the boundary value problem of bending of a thin elastic semi-i...
The paper considers the method suggested by Papkovich for rectangular plates and its application for...
Based on the first-order shear deformation theory, an exact solution for sandwich plates with dissim...
Mathematical models of deformation of elastic plates are used by applied mathematicians and engineer...
Free planar and bending interfacial and boundary vibrations of semi infinite composed plates and pla...
This paper addresses the fascinating long history of the classical problem of bending of a thin rect...
International audienceWe propose a model of flexural elastic plates accounting for boundary layer ef...
This article aims at analytically solving the free vibration problem of rectangular thin plates with...
This book explains in detail the generalized Fourier series technique for the approximate solution o...
This paper deals with problems of transverse displacements of thin elastic plates occupying the foll...
The problem of bending of a rectangular plate with clamped edges has attracted attention of authors ...
Bending vibration and buckling of non-uniform plate with time-dependent boundary conditions M Saeidi...
Explicit and exact three-dimensional solutions are derived for the equilib- rium problem of plate-li...
Approximate solutions for the non-linear bending of thin rectangular plates are presented considerin...
In the article, the authors present their new formulation of the problem of the boundary value of na...