Stress-strain state of reinforced thin-walled structural elements
https://doi.org/10.31675/1607-1859-2021-23-4-69-78
Abstract
The most common structures designed for the installation of technological equipment in workshops are beam platforms mounted from rolled steel and sheet elements. The values of strains and stresses of ribbed plates obtained in accordance with the linear theory, significantly differ from the values obtained in terms of physical and geometrical nonlinearities.
A joint consideration of the double nonlinearity significantly clarifies the mathematical model of the reinforced flexible plates and shells, which provides a complete idea of the stress-strain state of the structure.
The paper presents a calculation algorithm for the flexible plates reinforced by a stiffening plates and hollow shells based on the Lagrange function method. The stress-strain state of a plate symmetrically reinforced by a stiffening plate is investigated under the uniform loading conditions.
About the Authors
Tatiana T. Treputneva
Tomsk State University of Architecture and Building
Russian Federation
Russian Federation
Senior Lecturer
2, Solyanya Sq., 634003, Tomsk
Margarita O. Moiseenko
Tomsk State University of Architecture and Building
Russian Federation
Russian Federation
PhD, A/Professor
2, Solyanya Sq., 634003, Tomsk
Oleg N. Popov
Tomsk State University of Architecture and Building
Russian Federation
Russian Federation
PhD
2, Solyanya Sq., 634003, Tomsk
Vladimir N. Barashckov
Tomsk State University of Architecture and Building
Russian Federation
Russian Federation
DSc, Professor
2, Solyanya Sq., 634003, Tomsk
Dmitry N. Pestsov
Tomsk State University of Architecture and Building
Russian Federation
Russian Federation
PhD, A/Professor
2, Solyanya Sq., 634003, Tomsk
References
1. Popov O.N., Malinovskii A.P., Moiseenko M.O., Treputneva T.A. Sostoyanie voprosa po raschetu neodnorodnykh elementov kon-struktsii za predelom uprugosti [Analysis of heterogeneous structural elements beyond elastic limit]. Vestnik of Tomsk State University of Architecture and Building. 2013. No. 4. Pp. 128–142. (rus)
2. Vlasov V.Z. Obshchaya teoriya obolochek i ee prilozhenie v tekhnike [General theory of shells and its engineering applications]. Moscow: Gostekhizdat, 1949. 784 p. (rus)
3. Lur'e A.I. Statika tonkostennykh uprugikh obolochek [Static state of thin-walled elastic shells]. Moscow, Leningrad: Gostekhizdat, 1947. 252 p. (rus)
4. Vol'mir A.S., Kuranov B.A., Turbaivskii A.T. Statika i dinamika slozhnykh struktur: Prikladnye mno-gourovnevye metody issledovanii [Static state and dynamics of complex structures: applied multilevel research methods]. Moscow: Mashinostroenie, 1989. 248 p. (rus)
5. Popov O.N., Malinovskii A.P., Moiseenko M.O. Nelineinye zadachi rebristykh obolochek [Nonlinear problems for ribbed shells]. Tomsk: TSUAB. 2004. 172 p. (rus)
6. Klimanov V.I., Timashev S.A. Nelineinye zadachi podkreplennykh obolochek [Nonlinear problems of reinforced shells]. Sverdlovsk, 1985. 291 p. (rus)
7. Petrov V.V. Teoriya i raschet plastinok i obolochek [Theory and analysis of plates and shells]. Saratov, 2014. (rus)
8. Strel'bitskaya A.S., Kolgadin V.A., Matoshko S.I. Izgib pryamougol'nykh plastin za predelom uprugosti [Bending of rectangular plates beyond elastic limit] Kiev: Naukova dumka, 1971. 244 p. (rus)
9. Birger I.A. Metod peremennykh parametrov uprugosti v zadachakh teorii plastin i obolochek [Method of variable parameters of elasticity in problems of theory of plate and shell]. Trudy XII Vsesoyuznoi konferentsii po teorii obolochek i plastin (Proc. 12th All-Union Conf. on Theory of Plate and Shell). 1980. V. 1. Pp. 179–185. (rus)
10. Popov O.N., Moiseenko M.O., Treputneva T.A. Raschet tonkostennykh konstruktsii s nachal'nym progibom [Thin-walled structure analysis with initial deflection]. RF Certificate of State Registration of Software N 2017614725. 2017. (rus)
Review
For citations:
Treputneva T.T., Moiseenko M.O., Popov O.N., Barashckov V.N., Pestsov D.N. Stress-strain state of reinforced thin-walled structural elements. Vestnik Tomskogo gosudarstvennogo arkhitekturno-stroitel'nogo universiteta. JOURNAL of Construction and Architecture. 2021;23(4):69-78. (In Russ.) https://doi.org/10.31675/1607-1859-2021-23-4-69-78
Views:
339
Email this article 