دانلود رایگان مقاله لاتین کمانش الاستیک از صفحات مستطیل تک محوره از سایت الزویر
عنوان فارسی مقاله:
یک فرمول قابل استفاده برای کمانش الاستیک از صفحات مستطیل شکل تحت بارهای تک محوره و برشی
عنوان انگلیسی مقاله:
An applicable formula for elastic buckling of rectangular plates under biaxial and shear loads
2016
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مقدمه انگلیسی مقاله:
1. Introduction
Thin-plated structures are widely used in various engineering industries such as building, bridge, aerospace, marine, shipbuilding and so on. Thin plates usually have thickness ratio between 10 and 100 and in practical purposes they mostly buckle under in-plane axial and shear loading before yielding. Because they have the post-buckling behavior, prediction of the buckling load by an applicable equation with minimum error is very important for such structures. In many years, the valuable efforts have been performed to find concise equations for the buckling load of flat plates under the various loading types and boundary conditions [1–3]. There are several methods to predict buckling loads of such plates. The older methods have been applied from near the end of the 19th century [1] that mostly included the method of integration of the differential equation and also, the energy method. Recently, the numerical methods have been considered as useful tools for the complicated problems. Generally, the exact solutions can be developed, when the plate is under uniformly distributed compressive in one direction or two perpendicular directions. For the latter state, Lebove * Corresponding author. Fax: +988132221977. E-mail addresses: a.jahanpour@malayeru.ac.ir (A. Jahanpour), farhadroozbahani65@gmail.com (F. Roozbahani). [4] showed that one of half-waves in the buckled plate is always unit; but the other one can be achieved by an explicit solution. In this way, numerous researchers have investigated other states of loadings and boundary conditions through the years. Using energy method, van der Neut [5] obtained the buckling load of a simply supported plate under a half-sine load distribution on the opposite sides and later Benoy [6] investigated this problem for a parabolic distribution. He considered four boundary conditions of plate: (i) ends and sides simply supported, (ii) ends clamped, sides SS, (iii) ends SS, sides C, and (iv) ends and sides C. Also, the loading was expressed in terms of the stresses at the panel edges and center. Benoy compared the obtained results with those of van der Neut. Later, Bert et al. [7] claimed that two previous works were based on an incorrect in-plane stress distribution. They used Galerkin solution to remove the existing deficiencies in the previous works, especially for a sinusoidal stress distribution and then, achieved more accurate results for the buckling load. They concluded that their analysis shows the buckling loads at higher plate aspect ratio increase relative to those obtained in the literature. Bank and Yin [8] considered buckling of an orthotropic plate, simply supported on its loaded edges and free and rotationally restrained on its unloaded edges. Uniform uniaxial compression was applied on the loaded edges and the method of integration of the differential equation (exact solution) for the deflected plate was used. In this study, the effect of orthotropic properties of the plate material, the plate aspect ratio, the rotational restraint of the oneloaded edge and the buckle half-wavelength was discussed. They showed that in the case of a plate with a free edge, the Poisson ratio appears explicitly in the boundary conditions. Finally, the buckling curves were presented for the results of parametric studies as well as typical composite materials. Kang and Leissa [9] presented an exact solution for the buckling and free vibration of rectangular plates having two opposite edges simply supported, each subjected to an in-plane moment, with the other two edges being free. The exact solution was applied in term of an infinite power series, so that sufficient number of terms of the series must be taken to obtain accurate numerical results. The results showed that the critical buckling moment always occurs for a mode having one half-wave in the direction of loading and also, the buckling and frequency parameters depend upon the Poisson ratio. Furthermore, the used approach may be applied equally well to plates having other continuous boundary condition along their unloaded edges
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کلمات کلیدی:
Buckling analysis of rectangular plates under the combined action of ... https://www.researchgate.net/.../257650430_Buckling_analysis_of_rectangular_plates_u... In the classical buckling analysis of rectangular plates subjected to the concurrent action of shear and uniaxial forces, the Euler shear buckling stress is ... [PDF]Buckling of Thin Plates under Uniaxial and Biaxial ... - David Publishing www.davidpublishing.com/davidpublishing/Upfile/10/28/.../2012102885089153.pdf by M Bouazza - Cited by 8 - Related articles Aug 25, 2012 - rectangular plates under arbitrary external loads was proposed by Liu and ... several cases of buckling under direct, shear and bending loads. Buckling of Bars, Plates, and Shells - Page 408 - Google Books Result https://books.google.com/books?isbn=0978722302 Robert Millard Jones - 2006 - Buckling (Mechanics) We now address plastic buckling of rectangular plates loaded with arbitrary ... Moreover, the energy in biaxial loading might be higher than in uniaxial loading and thus ... octahedral shear stress theory, maximum energy of distortion theory, etc. ... Figure 3-107 Rectangular Plate Under Biaxial In-Plane Load Figure 3-109 ... Elastic buckling of rectangular plates under linearly varying in-plane ... www.academia.edu/.../Elastic_buckling_of_rectangular_plates_under_linearly_varyin... Their results showed that the elastic buckling load of rectangular plates having ... the elastic buckling of perforated plates subjected to uniaxial, biaxial and shear ... [PDF]Buckling of flat plates - NASA Technical Reports Server (NTRS) https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19930084505.pdf by G Gerard - 1957 - Cited by 219 - Related articles BUCKLING OF FI.A.T RECTANGULAR PlATES UNDER COMBINED LOADS. General Background. Biaxial Compression • • •. Shear and Normal Stress • •. Searches related to buckling of rectangular plates under biaxial and shear loads plate buckling equation buckling of thin plates in compression levy's method for plates plate buckling example levy's solution for rectangular plates buckling of plates ppt plate buckling calculator shear buckling of plates
