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First name, Middle name, Last name, Scientific degree, Scientific rank, Current position. Full and brief name of the organization, The organization address.Kayumov Rashit Abdulhakovich doctor of physical-mathematical sciences, professor Email: This e-mail address is being protected from spambots. You need JavaScript enabled to view it Khaidarov Lenar Ilnurovich assistant Email: This e-mail address is being protected from spambots. You need JavaScript enabled to view it Gimazetdinov Aivaz Rasimovich post-graduate student Email: This e-mail address is being protected from spambots. You need JavaScript enabled to view it Kazan State University of Architecture and Engineering The organization address: 420043, Russia, Kazan, Zelenaya st., 1
Title of the articleCompliance of compressed rods with elastic supports, taking into account their post-buckling behavior
Abstract.Problem statement. The large deflections of the rods loaded with compressive force and having a nonlinear elastic resistance to the rotation of their axis in the hinge supports are investigated. The aim of the work is to develop a methodology for calculating the compliance of compressed rods taking into account their post-buckling behavior with nonlinear elastic resistance to rotation on the support. Results. The resulting nonlinear integro-differential equation is obtained, the method for its solution is given. Conclusions. Linear relationships were found between the compliance of the rod to the action of the longitudinal compressive force on the relative displacement of the end of the rod and the angle of inclination of the axis of the rod on the supports from the compression force. The snap-through buckling effect is revealed in some geometric and mechanical characteristics of the rod and support. Using the proposed methodology, it is possible to perform the calculation of statically indeterminate structures, taking into account the buckling of rod elements with nonlinear elastic end restraints, and to identify the reserve of their bearing capacity.
Keywords.rod with nonlinear elastic support, post-buckling behavior, second-order analysis, compliance of compressed rod, snap-through buckling
For citations:Kayumov R. A., Khaidarov L. I., Gimazetdinov A. R. Compliance of compressed rods with elastic supports, taking into account their post-buckling behavior. Izvestiya KGASU. 2021. No. 3 (57). P. 5-12. DOI: 10.52409/20731523_2021_1_5


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