Procedure for constructing a refined mathematical model for stability analysis of deformed stiffened thin-walled structures


Аuthors

Mironova L. I.*, Balabanov V. V.**, Kiselev L. E.***

Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia

*e-mail: mironova_lub@mail.ru
**e-mail: riame@sokol.ru
***e-mail: kiselev02lev@gmail.com

Keywords:

stability of deformable systems; rib-stiffened shell; displacements; elastic strain energy potential; edge effect

References

  1. Aircraft design. Ed. M.A. Pogosyan. Moskow: Innovacionnoe mashinostroenie, 2018. 864 p.
  2. ZHitomirskij G.I. Konstrukciya samoletov: uchebnik dlya studentov vuzov (Aircraft Design: A Textbook for University Students Moskow: Innovacionnoe mashinostroenie, 2018. 416p.
  3. Mavlyutov R.R. Koncentraciya napryazhenij v elementah aviacionnyh konstrukcij (Stress concentrators in aircraft structural elements). Moskow: Nauka Publ., 1981. 141 p.
  4. Vol'mir A.S. Ustojchivost' deformiruemyh sistem (Stability of deformable systems).Moscow: Nauka Publ., 1967. 984 p.
  5. Anisimov S.A., Pavlov V.F., Sazanov V.P. Numerical analysis of buckling of orthogrid-stiffened cylindrical shells under axial compression within the framework of a linear bifurcation approach in comparison with experiment // Trudy MAI. 2025. No. 141 (In Russ.). URL: https://trudymai.ru/published.php?ID=184492.
  6. Mironova L.I., Koval' S.M. Modeling of the stress-strain state of load-bearing structures in Abaqus and MeshFree software systems at the stage of design of aviation equipment products // Izvestiya vysshikh uchebnykh zavedenii. Aviatsionnaya tekhnika. 2025. No 2. P 4-14. (In Russ.).
  7. Hoa Van D., Mironova Lyubov I. Efficiency evaluation of one analytical solution of the elasticity theory problem in the study of thermal stress state of a thin-walled structure made of layered material // Trudy MAI. 2025. No. 140. (In Russ.). URL: https://trudymai.ru/published.php?ID=184054.
  8. Zveryaev E.M., Olekhova L.V. Reduction of three-dimensional equations of the VAT of a composite plate to two-dimensional ones based on the principle of compressed maps. Preprinty IPM im. M.V.Keldysha. 2014. No. 95. 29 р. (In Russ.). DOI: 10.13140/RG.2.2.21968.00000.
  9. Amiro I.YA., Zaruckij V.A., Polyakov P.S. Rebristye cilindricheskie obolochki (Ribbed cylindrical shells). Kiev: Naukova dumka, 1973, 248 p.
  10. Novozhilov V.V. Teoriya tonkih obolochek (Thin shell theory). SPb: Izd-vo S.-Peterb. un-ta, 2010, 380 p.
  11. Gol'denvejzer A.L. Teoriya uprugih tonkih obolochek (Theory of elastic thin shells). Moskow: Nauka Publ., 1976. 512 p.
  12. Vlasov V.Z. Obshchaya teoriya obolochek (General theory of shells). Moskow: Gostekhizdat, 1949. 475 p.
  13. Dmitriev V.G., Korovaytseva E.A., Popova A.R. Features of mathematical models construction for processes of hyperelastic shells of revolution deforming investigation // Trudy MAI. 2024. No. 137. (In Russ.). URL: https://trudymai.ru/published.php?ID=181875.
  14. Zveryaev E.M. Constructive theory of thin elastic shell // Preprinty IPM im. M.V. Keldysha. 2016. No. 33. 25 р. (In Russ.). URL: http://library.keldysh.ru/preprint.asp?id=2016-33.
  15. Zveryaev E.M. Saint-Venant–Picard–Banach method for integrating thin-walled systems equations of the theory of elasticity // Prikladnaya matematika i mekhanika. 2019. Vol. 83. No. 5–6, pp. 823‒833. (In Russ.). DOI: 10.1134/S0032823519050126.
  16. Firsanov V.V., Vo A.H. The study of the longitudinally stiffened cylindrical shells under action of local load by the refined theory // Trudy MAI. 2018. No. 102. (In Russ.). URL: http://www.trudymai.ru/published.php?ID=98866.
  17. Firsanov V., Pham V.T. Stress-strain state of the spherical shell based on the refined theory // Trudy MAI. 2019. No. 105. (In Russ.). URL: http://trudymai.ru/published.php?ID=104174.
  18. Firsanov V.V., Vo A.H., Doan T.N. Studying stiffened shells stress state by the refined theory with account for ribs elasticity and clamped edge // Trudy MAI. 2019. No. 104. (In Russ.). URL: http://www.trudymai.ru/published.php?ID=102130.
  19. Ahmedov N.K., Akperova S.B. Asimptoticheskij analiz trekhmernoj zadachi teorii uprugosti dlya radial'no-neodnorodnogo trnsversal'no-izotropnogo pologo cilindra (Asymptotic analysis of a 3d elasticity problem for a radially inhomogeneous transversally isotropic hollow cylinder) // Mechanics of Solids. 2011. Т. 46. No. 4. Р. 635-644. (In Russ.). 

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