Journal ArticleDOI
Analysis of large deflections for pressure loaded plates with rigid inclusions
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In this article, the non-linear Berger equation for large deflection problems of isotropic plates and the point-matching method were utilized to obtain solutions for out-of-plane deformations in rectangular plates with a circular rigid body at the centre.Abstract:
In the present paper, the non-linear Berger equation for large deflection problems of isotropic plates and the point-matching method are utilized to obtain solutions for out-of-plane deformations in rectangular isotropic plates with a circular rigid body at the centre. Numerical solutions are presented in order to illustrate the influence of the rigid body size on the deflection distribution in rectangular plates subjected to uniform static load. The numerical procedure is easier than other procedures based on the von Karman theory, and reasonable results are obtained.read more
Citations
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Numerical solution to the deflection of thin plates using the two-dimensional Berger equation with a meshless method based on multiple-scale Pascal polynomials
TL;DR: In this paper, the authors employ a multiple-scale Pascal polynomial method for the Berger equation, which is a fourth order partial differential equation with applications to thin elastic plates.
Journal ArticleDOI
Application of the charge simulation method to analysis of large deflections of elastic plates
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.
Journal ArticleDOI
The method of fundamental solutions for solving non-linear Berger equation of thin elastic plate
Bin Lei,Chia-Ming Fan,Ming Li +2 more
TL;DR: In this paper, the authors utilized the method of fundamental solutions, which is meshless and integral-free, to analyze the non-linear Berger equation for thin elastic plate, and the deflection can be expressed as the linear combination of the homogeneous solution and the particular solutions.
Journal ArticleDOI
Bending of rectangular plates carried by vacuum cups
Koichi Kimura,Masaaki Okamoto +1 more
TL;DR: In this article, the analysis of a rectangular plate hung by circular vacuum cups is carried out for the plate, which is subjected to line loads and radial bending moments at the inner circular boundary and free at the outer rectangular boundary.
Journal ArticleDOI
A Simplified Approach to Analysis of Large Deflections for Rectangular Plates with a Cross-Stiffener
TL;DR: In this paper, the nonlinear Berger equation for large deflection problems of isotropic plates and the finite-difference method are used to obtain solutions for deformation in rectangular elastic plates with a cross-stiffener.
References
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Journal ArticleDOI
A new approach to the analysis of large deflections of plates
TL;DR: In this article, simplified equations for the deflection of uniformly loaded circular and rectangular plates with various boundary conditions are derived and compared with available numerical solutions of the exact equations, and the deflections found by this approach are then used to obtain the stresses, and resulting stresses are compared with existing solutions.
Journal ArticleDOI
Boundary strip method for large deflection analysis of elastic rectangular plates.
TL;DR: In this article, a new iterative soltion of the nonlinear Berger equation for plate bending problems is proposed by utilizing both the idea of the Kantrovich method and the boundary integral equation method.
Journal ArticleDOI
Partially Loaded Rectangular Plates with Large Deflection
Osamu Tamate,Hiroyuki Abe +1 more
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