scholarly journals Trends in Developing Critical Elastic Buckling Formula for Fixed Rectangular Plate Subjected To a Concentrated Load

2018 ◽  
Vol 1 (2) ◽  
Author(s):  
Liqiang Jiang
Keyword(s):  
Rectangular Plate ◽  
Elastic Buckling ◽  
Concentrated Load

Forced Flexural Vibrations in a Thin Nonlocal Rectangular Plate with Kirchhoff’s Thin Plate Theory

2020 ◽  
Vol 20 (09) ◽  
pp. 2050107
Author(s):  
Iqbal Kaur ◽  
Parveen Lata ◽  
Kulvinder Singh
Keyword(s):  
Rectangular Plate ◽  
Thin Plate ◽  
Plate Theory ◽  
Nonlocal Parameter ◽  
Generalized Thermoelasticity ◽  
Transversely Isotropic ◽  
Small Scale ◽  
Concentrated Load ◽  
Thin Rectangular Plate ◽  
Flexural Vibrations

This study deals with a novel model of forced flexural vibrations in a transversely isotropic thermoelastic thin rectangular plate (TRP) due to time harmonic concentrated load. The mathematical model is prepared for the thin plate in a closed form with the application of Kirchhoff’s love plate theory for nonlocal generalized thermoelasticity with Green–Naghdi (GN)-III theory of thermoelasticity. The nonlocal thin plate has a nonlocal parameter to depict small-scale effect. The double finite Fourier transform technique has been used to find the expressions for lateral deflection, thermal moment and temperature distribution for simply supported (SS) thin rectangular plate in the transformed domain. The effect of classical thermoelasticity (CTE) theory of thermoelasticity and nonlocal parameters has been shown on the computed quantities. Few particular cases have also been deduced.

A Free Boundary Value Problem in Plate Theory

1983 ◽  
Vol 50 (2) ◽  
pp. 297-302 ◽  
Author(s):  
P. Villaggio
Keyword(s):  
Free Boundary ◽  
Boundary Value Problem ◽  
Rectangular Plate ◽  
Elastic Foundation ◽  
Equilibrium Configuration ◽  
Plate Theory ◽  
Contact Region ◽  
Free Boundary Value Problem ◽  
Concentrated Load ◽  
Winkler Model

In this paper the equilibrium configuration of a thin rectangular plate, supported on an elastic foundation that reacts in compression only, is studied. It is assumed that the foundation is described by the Winkler model in the contact region. The plate is supposed to be weightless and subjected to a concentrated load in its midpoint. The shape of the free boundary, where the plate loses contact with the foundation, is determined.

Solving the Deflection Equations of Thick Plate under Concentrated Load

2012 ◽  
Vol 594-597 ◽  
pp. 2659-2663
Author(s):  
Dan Zhang
Keyword(s):  
Rectangular Plate ◽  
Thick Plate ◽  
Numerical Results ◽  
Reciprocal Theorem ◽  
Rectangular Plates ◽  
Concentrated Load ◽  
Simply Supported ◽  
Thick Rectangular Plate ◽  
Reciprocal Theorem Method

According to reciprocal-theorem method (RTM), the deflection equations of thick rectangular plate with two edges simply supported and two edges free under concentrated load are obtained in this paper. Simultaneously through the programming computation, the numerical results with actual value are obtained, which further showed the accuracy and superiority of RTM to solve the bending of thick rectangular plates.

The λ-method for rectangular plates

1965 ◽  
Vol 288 (1414) ◽  
pp. 371-395 ◽  
Keyword(s):  
Rectangular Plate ◽  
Complete Solution ◽  
Rectangular Plates ◽  
Concentrated Load ◽  
Master Program ◽  
Comprehensive Method ◽  
Wide Range ◽  
Fourier Sine Series ◽  
The University ◽  
Line Loads

A comprehensive method is presented for the numerical solution of the rectangular plate problem under a wide range of loadings and boundary conditions. A particular integral is obtained as a double Fourier sine series, which is the complete solution when the plate is simply supported with all edges in the same horizontal plane. This is summed to a highly convergent single series of negative exponentials in the plate variables U i . The necessary calculus for differentiation and integration is established, from which the particular slopes, moments and shears follow whether for concentrated or line loads or loads distributed uniformly over polygonal regions. By treating a concentrated moment as a force-pair, this case is deduced from that for a concentrated load. The necessary complementary functions and the ensuing simultaneous equations are formulated in a manner suited to programming for an electronic computer. A master program for rectangular plates has been developed in Mercury Autocode at the University of Sheffield. An illustrative example is included of a concentrated moment acting on a fully fixed rectangular plate.

Lateral Buckling Studied of Rectangular Plate with Two Opposite Edges Clamped under the Action of a Concentrated Loads

2013 ◽  
Vol 671-674 ◽  
pp. 1600-1603
Author(s):  
Song Jin Wu ◽  
Li Qiang Jiang ◽  
Wei Ning Yuan
Keyword(s):  
Finite Element ◽  
Critical Load ◽  
Engineering Design ◽  
Rectangular Plate ◽  
Analytical Method ◽  
Calculation Formula ◽  
Lateral Buckling ◽  
Concentrated Load ◽  
Finite Element Software ◽  
Ansys Analysis

This study is focus on investigating the lateral buckling of the rectangular plate with two opposite edges clamped under the action of concentrated load. A analytical method of thirty rectangular plate which fixed at two opposite edges with one hundred and fifty buckling modality of concentrated load has been calculated by using the ANSYS finite element software. The curves of lateral buckling minimum critical load could be achieved by the calculation. Compared with the results from the existing calculation formula, the limitation applicability of the formula would be determined. To have a better agreement with ANSYS analysis results, this formula would be corrected by the analysis of the comparison between existing formula and ANSYS results. This research could provide effective methods for engineering design.

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