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)4744ArticlesСтатьиResearch ArticleFactors influencing the critical load and propagating of buckling in shallow reticulated domes (state-of-the-art)Факторы, влияющие на критическую нагрузку и распространение местной потери устойчивости в сетчатых оболочках (современные достижения)HeidariAХейдариАлирезаDepartment of Building Structures and Constructions Engineering facultyКафедра строительных конструкций и сооружений Инженерный факультетalborz.dimas@gmail.comGalishnikovaV VГалишниковаВера ВладимировнаDepartment of Building Structures and Constructions Engineering facultyКафедра строительных конструкций и сооружений Инженерный факультетgalishni@gmail.comPeoples’ Friendship University of RussiaРоссийский университет дружбы народов150120131NO1 (2013)№1 (2013)11813307092016Copyright ©; 2013, Хейдари А., Галишникова В.В.2013Хейдари А., Галишникова В.В.http://creativecommons.org/licenses/by/4.0https://journals.rudn.ru/engineering-researches/article/view/4744Shallow lattice domes can be used to cover large support-free, e. g. assembly halls, sports stadium and exhibition halls. Over the last four decades the problem of buckling of shallow lattice domes has grown in importance because of several interrelated developments. The need to cover larger spans without intermediate supports with lightweight structures has made buckling behavior a determining factor in their design. For a buckling problem it is very important to define the concept concerning the loss of stability and the method to determine the collapse load. Several instability modes can occur in the behavior of the reticulated shells which must be taken into account in determining the limit bearing capacity. The secondary paths, especially in unstable buckling can play the most important role in collapse of these structures [1; 2]. The present report is an attempt to offer a synthetic view of the analysis and design problems for which the consideration of buckling is the main purpose. Another purpose of this report is to present the up-to-date bibliography on the buckling of reticulated shells. Several instability modes has been presented and the propagation of local buckling which is the most dangerous forms of instability has been discussed and many valuable theoretical and experimental studies have been carried out [3].Настоящая работа является попыткой синтетического подхода к проблемам расчета и проектирования сетчатых оболочек, для которых главной задачей является обеспечение устойчивости. В работе представлена современная библиография по проблеме устойчивости сетчатых куполообразных оболочек. Рассмотрены несколько видов общей потери устойчивости конструкций, а также опасное явление распространение местной потери устойчивости их элементов. Представлены экспериментальные данные и сделаны теоретические выводы.critical loadbuckling modesnode bucklingmember bucklingtorsional bucklinggeneral bucklingbuckling propagationкритическая нагрузкаформы потери устойчивостипотеря устойчивости элементапотеря устойчивости в узлеобщая потеря устойчивостираспространение местной потери устойчивости1.Galishnikova G., Dunaiski P., Pahl P.J. Geometrically Nonlinear Analysis of Plane Trusses and Frames. Sun Press, Stellenbosch, 2009.2.Kani I.M., Heidari A. (2007) Automatic Two-Stage Calculation of Bifurcation Path of Perfect Shallow Reticulated Domes, ASCE // Journal of Structural Engineering, 133(2), 185—194.3.Gioncu V. Buckling of Reticulated Shells, State-of-the-Art // Int. J. of Space Structure, Vol. 10, No. 1, 1995.4.Kato S., Yamada S., Takashima H., Shibata R. Buckling stress of a member in a rigidly jointed single-layer reticular dome. In Spatial Structure at the Turn of the Millennium, Proc. 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Sept. 1993, The. Telford Publ., London, 176—185.23.Mutoh I., Ueki T., Kato S. On estimation of the buckling load of lattice domes by generalized slenderness. In Innovative large span structures (eds. N.K. Srivastava et al.), IASS congress, 1992. Toronto, 564—575.24.Oda K., Hangai Y. Snap-through buckling and tensional buckling of joint of single layer lattice shell. In Innovative Large Span Structures (eds. N.K. Srivastava et al.) IASS Congress, Toronto, 1992, 487—496.25.Oda K., Hangai Y., Ohya S. Loading test of torisonal buckling of joint of six member unit dome. In Nonlinear Analysis and Design for Shell and Spatial Structures (eds. Y. Hangai et al.) IASS Symp., Oct. 1993, Tokyo. 189—196.26.Savelyev V.A., Lombardo I.V. Study of non-symmetrical forms of buckling in single-net domes. In tension Structures and space frames, IASS Symp., Tokyo-Kyoto, 1971.27.Supple W.J., Collins I. Limit state analysis of double-layer grids. In Analysis and construction of double layer grids (ed. Z.S. Makowaski), Appl. Sci. Publ., London, 1981, 93—117.28.Ueki T., Mukaiyama Y., Kubodera I., Kato S. Buckling behavior of single layered domes composed of members with axial and bending springs at both ends. IASS Congr., Vol. 4, Madrid, 1989.29.Ueki T., Kato S., Kubodera I., Mukaiyama Y. Study on the elastic and elasto-plastic buckling behavior of single layered domes composed of members having axial and bending springs at the ends. In Spatial Structures at the Turn of the Millennium, IASS Symp., Copenhagen. Vol. 3, 1991, 93—100.30.Ueki T., Matsushita F., Shibata R., Kato S. Design procedure for large single-layer latticed domes. In space Structures 4 (eds. G.A.R. Parke, C.M. Howard) Guildford Conf., Sept. 1993. Th. Telford publ., London, 237—246.31.Janko L. Initial postbukling behavior of shallow saddle shaped hypar shells support by shear diaphragms under uniform load // Acta Techn. Acad. Sci. Hung., 97, No. 1—4, 1984, 133—175.32.Kato S., Takashima H., Shibato R. 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