Flexible bar compression test
Authors: Egorov A.V.
Published in issue: #5(113)/2021
DOI: 10.18698/2308-6033-2021-5-2079
Category: Aviation and Rocket-Space Engineering | Chapter: Design, construction and production of aircraft
The article considers experimental and theoretical research of longitudinal stability of a flexible steel bar design under axial compression. The bar is a flat thin-walled element, pivotally fixed at the ends. The experimental study was carried out on a Zwick/Roell Z100 installation using special equipment that simulates geometric boundary conditions. During the loading process, a diagram of the deformation of a real bar with initial shape imperfections was automatically constructed. The experimental critical force was determined from the deformation diagram. This force was compared with the critical forces obtained from calculations using two schemes: the Euler formula and the dynamic analysis methodology. In the second scheme, in contrast to the first one, the initial imperfection, established by the measurements of the tested structure, was taken into account. The design calculation errors for both schemes were determined.
References
[1] Euler L. A method for finding curved lines enjoying properties of maximum or minimum, or solution of isoperimetric problems in the broadest accepted sense. Lausanne & Geneva. Marcum-Michaelem Bousquet Publ., Vol. 1744, pp. 1–322. [In Russ.: Euler L. Metod nakhozhdeniya krivykh liniy, obladayushchikh svoystvami maksimuma libo minimuma ili reshenie izoperimetricheskoy zadachi, vzyatoy v samom shirokom smysle. Moscow, Leningrad, GITTL Publ., 1934, 600 p.].
[2] Feodosyev V.I. Soprotivleniye materialov [Strength of materials]. Moscow, BMSTU Publ., 2016. ISBN 978-5-7038-3874-7
[3] Alfutov N.A. Osnovy rascheta na ustoychivost uprugikh system [The fundamentals of calculating the stability of elastic systems]. Moscow, Mashinostroenie Publ., 1991, 336 p.
[4] Morozov N.F., Belyayev A.K., Tovstik P.E., Tovstik T.P. Doklady RAN — RAS Reports, 2015, vol. 463, no. 5, pp. 543–546. DOI: 10.7868/S0869565215230103
[5] Morozov N.F., Tovstik P.E. Vestnik Sankt-Peterburgskogo Universiteta — Vestnik of Saint Petersburg University, Ser. 1, 2013, no. 3, pp. 131–141.
[6] Popov V.V., Sorokin F.D., Ivannikov V.V. Trudy MAI – Transactions of Moscow Aviation Institute, 2017, no. 92. Available at:http://trudymai.ru/published.php?ID=76832 (accessed November 25, 2018).
[7] Meiera C., Wall W., Popp A. Geometrically Exact Finite Element Formulations for Curved Slender Beams: Kirchhoff—Love Theory vs. Simo—Reissner Theory. Cornell University Library, 2016. Available at: https://arxiv.org/abs/1609.00119 (accessed October 19, 2018).
[8] Vanko V.I. Ocherki ob ustoychivosti elementov konstruktsiy [Essays on the stability of structural elements]. Moscow, BMSTU Publ., 2015, 223 p. ISBN 978-5-7038-4127-3
[9] Egorov A.V. Inzhenernyy zhurnal: nauka i innovatsii — Engineering Journal: Science and Innovation, 2018, iss. 4 (76). http://dx.doi.org/10.18698/2308-6033-2018-4-1750
[10] Egorov A.V., Egorov V.N. Buckling of the flexible rod under shock loads. In: Zingoni A., ed. Advances in Engineering Materials, Structures and Systems: Innovations, Mechanics and Applications. London, Taylor & Francis Group Publ., 2019, pp. 879–883. ISBN 978-1-138-38696-9