RUDN Journal of Engineering ResearchRUDN Journal of Engineering ResearchВестник Российского университета дружбы народов. Серия: Инженерные исследования2312-81432312-8151Peoples’ Friendship University of Russia named after Patrice Lumumba (RUDN University)1600010.22363/2312-8143-2017-18-1-58-69Innovative software engineering researchИнновационные программы инженерных исследованийResearch ArticleTHE NONLINEAR BENDING OF SIMPLY SUPPORTED ELASTIC PLATEНЕЛИНЕЙНЫЙ ИЗГИБ ОПЕРТОЙ УПРУГОЙ ПЛАСТИНЫMathieuGil-oulbéМатьеЖиль-улбе

Associate professor of the Department of Architecture and Construction

доцент департамента архитектуры и строительства

giloulbem@mail.ruTyekoloDauТеколоДао

Assistant professor of the Department of Architecture and Construction

старший преподаватель департамента архитектуры и строительства

tiek.d@hotmail.comBelaySoresaБилайСореса

Graduate student of the Department of Architecture and Construction

магистрант департамента архитектуры и строительства

soresably@gmail.comPeoples’ Friendship University of RussiaИнженерная академия Российский университет дружбы народов15122017181VOL 18, NO1 (2017)ТОМ 18, №1 (2017)586913052017Copyright ©; 2017, Mathieu G., Tyekolo D., Belay S.Copyright ©; 2017, Матье Ж., Теколо Д., Билай С.2017Mathieu G., Tyekolo D., Belay S.Матье Ж., Теколо Д., Билай С.http://creativecommons.org/licenses/by/4.0https://journals.rudn.ru/engineering-researches/article/view/16000

In this article, assumptions in Classical Plate Theory (CPT) are explained; followed by concepts involved in Finite Element discretization for elastic Plate bending in CPT. Computer implementation aspects and Numerical Results of CPT elements are also included for analyzing nonlinear bending of simply supported elastic plates.

В статье изложены допущения в классической теории пластин (КПП); с последующей формулировкой, применяемой в конечно-элементной дискретизации для упругой пластины в КПП. Аспекты компьютерных расчетов также включены для анализа нелинейного изгиба опертой упругой пластины.

Classical Plate Theory (CPT)Elastic Plate bending in CPTKirchhoff modelConforming and Non-Conforming Elementsnondimensionalized deflections and stressesisotropic plate structuresклассическая теория пластин (КПП)упругий изгиб пластинымодель Кирхгофасоответствующие и несоответствующие элементыбезразмерные прогибы и напряженияизотропные пластиныEduard Ventsel Theodor Krauthammer (2001) Thin Plates and Shells-theory, analysis and applications (The Pennsylvania State University, Pennsylvania).IT Kharagpur NPTEL (National Program on Technology Enhanced Learning) Web Course. #.Module 1.URL: http://www.colorado.edu/engineering/CAS/courses.d/AFEM.d/Home.html (21.12.2016).Reddy, J.N. A Penalty Plate-Bending Element for the Analysis of Laminated AnisotropicComposite Plates. Int. J. Numer. Meth. Engng., Vol. 15, pp. 1187-1206, 1980.Way, S. Uniformly Loaded, Clamped, Rectangular Plates with Large Deformation. Proc. 5th Int.Congr. Appl. Mech. (Cambridge, Mass., 1938), John Wiley, pp. 123-238.Levy, S. Bending of Rectangular Plates with Large Deflections. Report No. 737, NACA, 1942.Wang, C.T. Bending of Rectangular Plates with Large Deflections. Report No. 1462, NACA,1948.Yamaki, N. Influence of Large Amplitudes on Flexural Vibrations of Elastic Plates. ZAMM, Vol. 41, pp. 501-510, 1967.Kawai, T. and YOSHIMURA, N. Analysis of Large Deflection of Plates by the Finite Element Method. Int. J. Numer. Meth. Engng., Vol. 1, pp. 123-133, 1969.Pica, A., Wood, R.O. and Hinton, E. Finite Element Analysis of Geometrically Nonlinear Plate Behavior Using a Mindlin Formulation. Computers & Structures, Vol. 11, pp. 203-215, 1980.Levy, S. Square Plate with Clamped Edges Under Pressure Producing Large Deflections. NACA, Tech. Note 847, 1942.Zaghloul, S.A. and Kennedy, J.B. Nonlinear Analysis of Unsymmetrically Laminated Plates.J. Engng. Mech. Div., ASCE, Vol. 101 (EM3), pp. 169-185, 1975.