Bending of circular plates supported at number of points
01 Feb 1989-Journal of Engineering Mechanics-asce (American Society of Civil Engineers)-Vol. 115, Iss: 2, pp 437-441
TL;DR: In this paper, a new method of solving plate bending problems known as charge simulation method is introduced, which is somewhat similar to the boundary element method, but differs from it in that the source is placed outside the domain.
Abstract: There are many methods available in the literature to study the static behavior of plates with different boundary conditions. Except for a few simple cases, exact solutions for plate problems are rather difficult to obtain. In many cases, one may have to resort to various approximate and numerical methods. Each method has its own merits and demerits. In this note, a new method of solving plate bending problems known as charge simulation method is introduced. This method is somewhat similar to the boundary element method, but differs from it in that the source is placed outside the domain. The method is applied to a circular plate fixed at a number of points along its edge. Experiments have been carried out to check the results presented.
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TL;DR: In this article, the benchmark bending solutions of rectangular thin plates with a corner point supported are obtained by an up-to-date symplectic superposition method within the framework of the Hamiltonian system.
35 citations
Additional excerpts
...Raamachandran and Reddy [3] developed the charge simulation method to solve the bending problem of a circular plate fixed at a number of points along its edge, which was somewhat similar to the boundary element method....
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TL;DR: In this paper, a boundary element method called the charge simulation method is presented for analysis of anisotropic thin-plate bending problems, where the singular integrals involved in the other boundary element methods are eliminated and there is no numerical integration involved.
24 citations
TL;DR: In this paper, a bending analysis of orthotropic super-elliptical plates of uniform thickness was investigated and the optimal location of the point supports was searched by minimizing the maximum absolute deflection.
14 citations
TL;DR: The novel symplectic superposition method is used in this work to yield the analytical benchmark bending solutions of rectangular thin plates point-supported at two adjacent corners, and is expected to serve for validation of various approximate/numerical methods.
12 citations
TL;DR: In this paper, the Berger equation is used to obtain solutions for deformation of thin elastic plates, and is solved by applying the charge simulation method, and the general solution for the deflection is first obtained by a combination of two kinds of series of Green's functions.
Abstract: The non-linear Berger equation is used to obtain solutions for deformation of thin elastic plates, and is solved by applying the charge simulation method. The general solution for the deflection is first obtained by a combination of two kinds of series of Green's functions. Satisfying the boundary conditions at the collocation points, the unknown constants in the general solution are determined, and the deflection of the plate is calculated. Numerical results are presented in dimensionless graphical form for rectangular and isosceles triangular plates.
10 citations
References
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Book•
01 Jan 1959
TL;DR: In this article, the authors describe the bending of long RECTANGULAR PLATES to a cycloidal surface, and the resulting deformation of shels without bending the plates.
Abstract: CONTENTS: BENDING OF LONG RECTANGULAR PLATES TO A CYLINDRICAL SURFACE PURE BENDING OF PLATES SYMMETRICAL BENDING OF CIRCULAR PLATES SMALL DEFLECTIONS OF LATERALLY LOADED PLATES SIMPLY SUPPORTED RECTANGULAR PLATES RECTANGULAR PLATES WITH VARIOUS EDGE CONDITIONS CONTINUOUS RECTANGULAR PLATES PLATES ON ELASTIC FOUNDATION PLATES OF VARIOUS SHAPES SPECIAL AND APPROXIMATE METHODS IN THEORY OF PLATES BENDING OF ANISTROPIC PLATES BENDING OF PLATES UNDER THE COMBINED ACTION OF LATERAL LOADS AND FORCES IN THE MIDDLE PLANE OF THE PLATE LARGE DEFLECTIONS OF PLATES DEFORMATION OF SHELLS WITHOUT BENDING GENERAL THEORY OF CYLINDRICAL SHELLS SHELLS HAVING THE FORM OF A SURFACE OF REVOLUTION AND LOADED SYMMETRICALLY WITH RESPECT TO THEIR AXIS.
10,200 citations
TL;DR: In this paper, a numerical method for the computation of electrostatic fields is described, based on the use of fictitious line charges as particular solutions of Laplace's and Poisson's equations.
Abstract: A numerical method for the computation of electrostatic fields is described. The basis of the method is the use of fictitious line charges as particular solutions of Laplace's and Poisson's equations. Details are given of a digital computer program developed for field calculations by means of this method, and its application is illustrated by practical examples involving two-and three-dimensional geometries.
652 citations
309 citations