Academic literature on the topic 'Buckling; Thinwalled Isotropic Rectangular Plate'

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Journal articles on the topic "Buckling; Thinwalled Isotropic Rectangular Plate"

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Sayyad, Atteshamuddin S., and Yuwaraj M. Ghugal. "On the Buckling of Isotropic, Transversely Isotropic and Laminated Composite Rectangular Plates." International Journal of Structural Stability and Dynamics 14, no. 07 (2014): 1450020. http://dx.doi.org/10.1142/s0219455414500205.

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This paper presents the uniaxial and biaxial buckling analysis of rectangular plates based on new trigonometric shear and normal deformation theory. The theory accounts for the cosine distribution of the transverse shear strain through the plate thickness and on the free boundary conditions on the plate surfaces without using the shear correction factor. Governing equations and boundary conditions of the theory are derived by the principle of virtual work. The Navier type solutions for the buckling analysis of simply supported isotropic, transversely isotropic, orthotropic and symmetric cross-
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Eziefula, U. G., D. O. Onwuka, and O. M. Ibearugbulem. "Work principle in inelastic buckling analysis of axially compressed rectangular plates." World Journal of Engineering 14, no. 2 (2017): 95–100. http://dx.doi.org/10.1108/wje-12-2016-0171.

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Purpose The purpose of this paper is to analyze the inelastic buckling of a rectangular thin flat isotropic plate subjected to uniform uniaxial in-plane compression using a work principle, a deformation plasticity theory and Taylor–Maclaurin series formulation. Design/methodology/approach The non-loaded longitudinal edges of the rectangular plate are clamped, whereas the loaded edges are simply supported (CSCS). Total work error function is applied to Stowell’s plasticity theory in the derivation of the inelastic buckling equation. Mathematical formulation of the Taylor–Maclaurin series deflec
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El-Sayad, Mohamed A., and Ahmed M. Farag. "Semi-Analytical Solution Based on Strip Method for Buckling and Vibration of Isotropic Plate." Journal of Applied Mathematics 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/796274.

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The present paper achieves a semianalytical solution for the buckling and vibration of isotropic rectangular plates. Two opposite edges of plate are simply supported and others are either free, simply supported, or clamped restrained against rotation. The general Levy type solution and strip technique are employed with transition matrix method to develop a semianalytical approach for analyzing the buckling and vibration of rectangular plates. The present analytical approach depends on reducing the strips number of the decomposed domain of plate without escaping the results accuracy. For this t
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Najafizadeh, M. M., M. Mahdavian, and P. Khazaeinejad. "Superposition Buckling Analysis of Rectangular Plates Composed of Functionally Graded Materials Subjected to Non-Uniform Distributed In-Plane Loading." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 224, no. 11 (2010): 2299–307. http://dx.doi.org/10.1243/09544062jmes2134.

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In this research, mechanical buckling of rectangular plates of functionally graded materials (FGMs) is considered. Equilibrium and stability equations of an FGM rectangular plate under uniform in-plane compression are derived. For isotropic materials, convergent buckling loads have been presented for non-uniformly compressed rectangular plates based on a rigorous superposition Fourier solution for the in-plane Airy stress field and Galerkin's approach for stability analysis. Results for isotropic cases are compared with reference articles and finite-element method solution. Finally, the result
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Eziefula, Uchechi G. "Analysis of inelastic buckling of rectangular plates with a free edge using polynomial deflection functions." International Review of Applied Sciences and Engineering 11, no. 1 (2020): 15–21. http://dx.doi.org/10.1556/1848.2020.00003.

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AbstractThe inelastic buckling behaviour of different rectangular thin isotropic plates having a free edge is studied. Various combinations of boundary conditions are subject to in-plane uniaxial compression and each rectangular plate is bounded by an unloaded free edge. The characteristic deflection function of each plate is formulated using a polynomial function in form of Taylor–Maclaurin series. A deformation plasticity approach is adopted and the buckling load equation is modified using a work principle technique. Buckling coefficients of the plates are calculated for various aspect ratio
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Ibearugbulem, O. M., U. G. Eziefula, and D. O. Onwuka. "Inelastic Stability Analysis Of Uniaxially Compressed Flat Rectangular Isotropic CCSS Plate." International Journal of Applied Mechanics and Engineering 20, no. 3 (2015): 637–45. http://dx.doi.org/10.1515/ijame-2015-0042.

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Abstract This study investigates the inelastic stability of a thin flat rectangular isotropic plate subjected to uniform uniaxial compressive loads using Taylor-Maclaurin series formulated deflection function. The plate has clamped and simply supported edges in both characteristic directions (CCSS boundary conditions). The governing equation is derived using a deformation plasticity theory and a work principle. Values of the plate buckling coefficient are calculated for aspect ratios from 0.1 to 2.0 at intervals of 0.1. The results compared favourably with the elastic stability values and the
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Abdul-Majeed, Wael R., Muhsin J. Jweeg, and Adnan N. Jameel. "THERMAL BUCKLING OF RECTANGULAR PLATES WITH DIFFERENT TEMPERATURE DISTRIBUTION USING STRAIN ENERGY METHOD." Journal of Engineering 17, no. 05 (2011): 1047–65. http://dx.doi.org/10.31026/j.eng.2011.05.02.

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By using governing differential equation and the Rayleigh-Ritz method of minimizing the total potential energy of a thermoelastic structural system of isotropic thermoelastic thin plates, thermal buckling equations were established for rectangular plate with different fixing edge conditions and with different aspect ratio. The strain energy stored in a plate element due to bending, mid-plane thermal force and thermal bending was obtained. Three types of thermal distribution have been considered these are: uniform temperature, linear distribution and non-linear thermal distribution across thick
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Onyeka, F. C., T. E. Okeke, and C. D. Nwa-David. "Static and Buckling Analysis of a Three-Dimensional (3-D) Rectangular Thick Plates Using Exact Polynomial Displacement Function." European Journal of Engineering and Technology Research 7, no. 2 (2022): 29–35. http://dx.doi.org/10.24018/ejeng.2022.7.2.2725.

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This paper is devoted to study the buckling response of axially compressed rectangular thick plate based on the exact polynomial potential functional. The governing and equilibrium equation of an isotropic plate was derived based on the three-dimensional (3-D) static theory of elasticity, to get the relations between the rotations and deflection. These equations are solved in the form of polynomial analytically to obtain the exact displacements and stresses that are induced due to uniaxial compressive load action on the plate. By incorporating deflection and rotation function into the fundamen
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Ibeabuchi, V. T., O. M. Ibearugbulem, C. Ezeah, and O. O. Ugwu. "Elastic Buckling Analysis of Uniaxially Compressed CCCC Stiffened Isotropic Plates." International Journal of Applied Mechanics and Engineering 25, no. 4 (2020): 84–95. http://dx.doi.org/10.2478/ijame-2020-0051.

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AbstractThis paper reports a research study that investigated buckling of stiffened rectangular isotropic plates elastically restrained along all the edges (CCCC) under uniaxial in-plane load, using the work principle approach. The stiffeners were assumed to be rigidly connected to the plate. Analyses for critical buckling of stiffened plates were carried out by varying parameters, such as the number of stiffeners, stiffness properties and aspect ratios. The study involved a theoretical derivation of a peculiar shape function by applying the boundary conditions of the plate on Taylor Maclaurin
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York, C. B. "Elastic buckling design curves for isotropic rectangular plates with continuity or elastic edge restraint against rotation." Aeronautical Journal 104, no. 1034 (2000): 175–82. http://dx.doi.org/10.1017/s0001924000028074.

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Abstract Elastic buckling design curves are presented for flat isotropic rectangular plates, which are either isolated or form part of a larger continuous plate structure. The design curves illustrate the effect of introducing combinations of elastic rptational restraints to the edges of simply supported isolated plates, which are subject to uniform in-plane compression or shear. Results for infinitely long and/or wide plates, with rectangular bays, are superimposed for comparison.
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Book chapters on the topic "Buckling; Thinwalled Isotropic Rectangular Plate"

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Dehadray, Prathamesh Mahesh, Sainath Alampally, and Bhaskara Rao Lokavarapu. "Buckling Analysis of Thin Isotropic Square Plate with Rectangular Cut-Out." In Lecture Notes in Mechanical Engineering. Springer Singapore, 2022. http://dx.doi.org/10.1007/978-981-16-7282-8_6.

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Conference papers on the topic "Buckling; Thinwalled Isotropic Rectangular Plate"

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Akbarov, Surkay, Nazmiye Yahnioglu, and Ayfer Tekin. "Buckling Delamination of a Rectangular Sandwich Thick Plate With Band Cracks." In ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2010. http://dx.doi.org/10.1115/esda2010-24807.

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The buckling delamination around the band cracks contained with the simply supported all edge-surface rectangular sandwich thick plate is investigated. It is assumed that the sandwich plate is composed of two face layers and a core layer. Face and core layers are made of different materials and it is assumed that there are two same cracks at the interfaces between the layers. Material of each layer is isotropic and homogeneous. For the solution procedure it is supposed that the surfaces of the cracks have insignificant initial imperfections. The development of this initial imperfection with an
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Srubshchik, Leonid, Issac Herskowitz, Irina Peckel, and Edward Potetyunko. "Static and Dynamic Buckling of a Compressed Narrow Rectangular Plate on an Elastic Foundation." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-68384.

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In this paper we consider a thin narrow rectangular isotropic plate subjected to a small surface load and supported laterally by a continuous nonlinear elastic foundation. The both short ends of plate are clamped while the longitudinal sides are completely free, so that their points can move along the boundary, along the normal to the boundary, and in a vertical direction. At initial time the uniformly distributed in-plane compressive stresses are suddenly applied to the short ends in the longitudinal direction. Our goal is to find the asymptotic formulas for values of static and dynamic buckl
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