{"id":2036,"date":"2021-01-18T18:38:40","date_gmt":"2021-01-18T16:38:40","guid":{"rendered":"http:\/\/journals.khnu.km.ua\/vestnik\/?p=2036"},"modified":"2021-04-14T14:06:29","modified_gmt":"2021-04-14T11:06:29","slug":"%d0%bc%d1%96%d0%b6%d1%84%d0%b0%d0%b7%d0%bd%d0%b8%d0%b9-%d1%80%d0%be%d0%b7%d1%80%d1%96%d0%b7-%d0%b2-%d0%be%d1%80%d1%82%d0%be%d1%82%d1%80%d0%be%d0%bf%d0%bd%d1%96%d0%b9-%d0%bf%d0%bb%d0%b0%d1%81%d1%82","status":"publish","type":"post","link":"https:\/\/journals.khnu.km.ua\/vestnik\/?p=2036","title":{"rendered":"\u041c\u0456\u0436\u0444\u0430\u0437\u043d\u0438\u0439 \u0440\u043e\u0437\u0440\u0456\u0437 \u0432 \u043e\u0440\u0442\u043e\u0442\u0440\u043e\u043f\u043d\u0456\u0439 \u043f\u043b\u0430\u0441\u0442\u0438\u043d\u0446\u0456 \u0437 \u0435\u043b\u0456\u043f\u0442\u0438\u0447\u043d\u0438\u043c \u043a\u043e\u043d\u0442\u0443\u0440\u043e\u043c, \u043f\u0456\u0434\u0441\u0438\u043b\u0435\u043d\u0438\u043c \u0437\u0430\u043c\u043a\u043d\u0435\u043d\u0438\u043c \u043f\u0440\u0443\u0436\u043d\u0438\u043c \u0440\u0435\u0431\u0440\u043e\u043c"},"content":{"rendered":"

\u041c\u0406\u0416\u0424\u0410\u0417\u041d\u0418\u0419 \u0420\u041e\u0417\u0420\u0406\u0417 \u0412 \u041e\u0420\u0422\u041e\u0422\u0420\u041e\u041f\u041d\u0406\u0419 \u041f\u041b\u0410\u0421\u0422\u0418\u041d\u0426\u0406 \u0417 \u0415\u041b\u0406\u041f\u0422\u0418\u0427\u041d\u0418\u041c \u041a\u041e\u041d\u0422\u0423\u0420\u041e\u041c, \u041f\u0406\u0414\u0421\u0418\u041b\u0415\u041d\u0418\u041c \u0417\u0410\u041c\u041a\u041d\u0415\u041d\u0418\u041c \u041f\u0420\u0423\u0416\u041d\u0418\u041c \u0420\u0415\u0411\u0420\u041e\u041c<\/p>\n

INTERFACIAL INCISION IN ORTHOTROPIC PLATE WITH AN ELLIPTICAL CONTOUR, REINFORCED BY A CLOSED RESILIENT RIB<\/p>\n

<\/a> \u0421\u0442\u043e\u0440\u0456\u043d\u043a\u0438: 12-16. \u041d\u043e\u043c\u0435\u0440: \u21161, 2019 (269)<\/strong>
\n\u0410\u0432\u0442\u043e\u0440\u0438:<\/strong>
\n\u0410.\u041e. \u0421\u042f\u0421\u042c\u041a\u0418\u0419, \u041d.\u0412. \u0428\u0415\u0412\u0426\u041e\u0412\u0410
\n\u0420\u0456\u0432\u043d\u0435\u043d\u0441\u044c\u043a\u0438\u0439 \u0434\u0435\u0440\u0436\u0430\u0432\u043d\u0438\u0439 \u0433\u0443\u043c\u0430\u043d\u0456\u0442\u0430\u0440\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442
\n\u041e.\u042e. \u0414\u0415\u0419\u041d\u0415\u041a\u0410
\n\u041d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 \u0432\u043e\u0434\u043d\u043e\u0433\u043e \u0433\u043e\u0441\u043f\u043e\u0434\u0430\u0440\u0441\u0442\u0432\u0430 \u0442\u0430 \u043f\u0440\u0438\u0440\u043e\u0434\u043e\u043a\u043e\u0440\u0438\u0441\u0442\u0443\u0432\u0430\u043d\u043d\u044f, \u043c. \u0420\u0456\u0432\u043d\u0435
\n\u0410.O. SIASKYI, N.V. SHEVTSOVA
\nRivne State University of Humanities
\nO.Y. DEJNEKA
\nNational University of Water Management and Natural Resources, Rivne
\nDOI:<\/strong> https:\/\/www.doi.org\/10.31891\/2307-5732-2019-269-1-31-36<\/a>
\n\u0420\u0435\u0446\u0435\u043d\u0437\u0456\u044f\/Peer review :<\/strong> 12.11.2018 \u0440.
\n\u041d\u0430\u0434\u0440\u0443\u043a\u043e\u0432\u0430\u043d\u0430\/Printed :<\/strong> 15.02.2019 \u0440.<\/p>\n

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\n\u041a\u043b\u044e\u0447\u043e\u0432\u0456 \u0441\u043b\u043e\u0432\u0430:<\/strong> \u043c\u0456\u0436\u0444\u0430\u0437\u043d\u0438\u0439 \u0440\u043e\u0437\u0440\u0456\u0437, \u043e\u0440\u0442\u043e\u0442\u0440\u043e\u043f\u043d\u0430 \u043f\u043b\u0430\u0441\u0442\u0438\u043d\u043a\u0430, \u043f\u0440\u0443\u0436\u043d\u0435 \u0440\u0435\u0431\u0440\u043e, \u043f\u043e\u043f\u0435\u0440\u0435\u0447\u043d\u0430 \u0456 \u043f\u043e\u0437\u0434\u043e\u0432\u0436\u043d\u044f \u0441\u0438\u043b\u0438, \u0437\u0433\u0438\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u043c\u043e\u043c\u0435\u043d\u0442, \u0441\u0438\u043d\u0433\u0443\u043b\u044f\u0440\u043d\u0456 \u0456\u043d\u0442\u0435\u0433\u0440\u0430\u043b\u044c\u043d\u0456 \u0440\u0456\u0432\u043d\u044f\u043d\u043d\u044f, \u043a\u043e\u043d\u0442\u0430\u043a\u0442\u043d\u0456 \u0437\u0443\u0441\u0438\u043b\u043b\u044f.<\/p>\n

\u0420\u043e\u0437\u0448\u0438\u0440\u0435\u043d\u0430 \u0430\u043d\u043e\u0442\u0430\u0446\u0456\u044f \u0430\u043d\u0433\u043b\u0456\u0439\u0441\u044c\u043a\u043e\u044e \u043c\u043e\u0432\u043e\u044e<\/strong><\/p>\n

In the conditions of generalized plane stressed state, a mixed contact problem for an infinite orthotropic plate with an elliptical opening whose contour is reinforced by a closed resilient rib is considered in the presence on the boundary of the separation of a plate and rib the symmetric interfacial incision of the zero width. By modelling the reinforcing rib a curved rod of a constant rectangular cross-section, the middle surface of which does not coincide with the surface of the opening, the basic equations of one-dimensional theory are written, which, taking into account the hypothesis of plane cross sections and deformations of the transverse displacement, determine the stress-strain state of the rib. The boundary conditions of the problem are formulated in the form of conditions for the joint deformation of the plate and the rib. Together with the differential equations of strengthening and the canonical equations of the method of forces, they determine the system of singular integral-differential equations for determining the contact efforts between the plate and the rib, as well as the internal forces and moments in the rib. The structure of the searched functions at the ends of the connection area of the plate and the rib are established. The approximate solution of the problem is constructed by the method of mechanical quadratures and collocation, with which it investigated the influence of the orthotropy of the plate material and the shape of the opening on the distribution of stresses in the plate and the reinforcing rib. The essential dependence of the components of the stressed state in the plate and the rib on the shape of the opening and the physical parameters of the plate material are established.
\nKeywords:<\/strong> interfacial incision, orthotropic plate, resilient rib, transverse and longitudinal forces, bending moment, singular integral equations, contact efforts.<\/p>\n

References<\/strong><\/p>\n

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  14. Kalandija A.I. Matematicheskie metody dvumernoj uprugosti \/ A.I. Kalandija. \u2013 Moskva : Nauka, 1973. \u2013 304 s.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

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