ENG
РУС
Search
Menu
About the Edition
Open Access Statement
Editorial Board
Editorial Policy
Editorial Ethics
Rules for peer-review
Rules for presentation of papers
Forms of Submitted Documents
Recommendations for the Design of References to Our Journal
Editorial Staff
Information for Subscribers
Summaries of the Issue
List of Authors
Issues
Publishers license agreement
Procedure of work with personal data
Publications
2024
2023
2022
2021
2020
2019
2018
2017
2016
2015
2014
2013
2012
2011
2010
2009
2008
2007
2006
2005
2004
2003
2002
2001
Editor-in-Chief

Nikiforov
Vladimir O.
D.Sc., Prof.
Partners













































doi: 10.17586/2226-1494-2023-23-3-618-627

Buckling analysis of an orthotropic cylindrical shell structure in the ANSYS Mechanical APDL software package

D. S. Petrov, A. A. Semenov


Read the full article  ';
Article in Russian

For citation:
Petrov D.S., Semenov A.A. Buckling analysis of an orthotropic cylindrical shell structure in the ANSYS Mechanical APDL software package. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2023, vol. 23, no. 3, pp. 618–627 (in Russian). doi: 10.17586/2226-1494-2023-23-3-618-627


Abstract
Long-span shell structures are widely used in various industries. To ensure safe modes of operation, it becomes necessary to develop calculation methods and study shell structures for buckling under the applied load. Traditionally, these data are obtained using analytical and semi-analytical methods. This paper presents a description of the process of determining the critical buckling loads and obtaining the “load-deflection” dependences, taking into account large deformations. For this purpose, a method for analyzing the buckling of orthotropic shell structures based on the functionality of finite element software systems is proposed. The computational model of a cylindrical shell structure is presented based on the finite element method in the ANSYS Mechanical APDL 2020 software package. Computational experiments and a comparison of the buckling of structures made of various materials were carried out: steel S345, plexiglass (PMMA), CFRP M60J/Epoxy, GFRP T-10/UPE22-27. It is shown that the ANSYS Mechanical APDL 2020 software package makes it possible to obtain the necessary data for obtaining the “load-deflection” dependencies. For the analysis of large deformations, it can be used only with a sufficiently detailed description of the calculation parameters and the assumptions made for different materials. The values of the critical uniformly distributed load are obtained. Graphs of the dependence of the deflection on the load are presented. The process of deformation is studied, taking into account the geometric nonlinearity and the self-weight of shell structures. The calculation results can be used to automate the calculations of shell structures as an alternative to analytical methods.

Keywords: cylindrical shell, orthotropic material, buckling, finite element method, ANSYS, geometric nonlinearity, step-by-step load application, critical buckling load

References
  1. Nashiraliev Zh.T., Kargaeva A.T. Difficulties in designing and building spatial thin-walled shells. Academy, 2019, no. 1(40), pp. 17–19. (in Russian)
  2. Antipov A.A., Artemyeva A.A., Bazhenov V.G., Zhestkov M.N., Kibec A.I. Numerical modelling of perforated shells stability. PNRPU Mechanics Bulletin, 2015, no. 1, pp. 21–30. (in Russian). https://doi.org/10.15593/perm.mech/2015.1.02
  3. Shkliarchuk F.N. On stability problems for elastic shells under hydrostatic pressure. Proc. of the XXI International symposium «Dynamic and technological problems of a mechanics of constructions and continuous mediums» Dedicated to A.G. Gorshkov, 2015, pp. 208–211. (in Russian)
  4. Paimushin V.N. On the forms of stability loss of a cylindrical shell under external lateral pressure. Proc. of the XXI International symposium «Dynamic and technological problems of a mechanics of constructions and continuous mediums» Dedicated to A.G. Gorshkov, 2015, pp. 157–159. (in Russian)
  5. Dubrovin V.M., Butina T.A. Modeling of the dynamic stability of a cylindrical shell under the axial compressive load. Mathematical Modeling and Computational Methods, 2015, no. 2(6), pp. 46–57. (in Russian)
  6. Petrov M.V., Fedorova T.G., Gonic E.G. Experimental study of the buckling of thin-walled shells under pure bending. Bulletin of the Yakovlev Chuvash State Pedagogical University. Series: Mechanics of Limit State, 2015, no. 2(24), pp. 119–125. (in Russian)
  7. Bakhtieva L.U., Tazyukov F.Kh. Stability of a cylindrical shell under axial compression. Russian Aeronautics, 2015, vol. 58, no. 1. pp. 106–111. https://doi.org/10.3103/S1068799815010171
  8. Mitrofanov O.V. Estimation of the cylindrical composite shells stability in torsion, taking into account the use of hypotheses of the modified semi-membrane theory. Aktual'nye problemy sovremennoj nauki, 2018, no. 5(102), pp. 267–271. (in Russian)
  9. Ashok R.B., Srinivasa C.V., Suresh Y.J., Prema Kumar W.P. Buckling behaviour of cylindrical panels. Nonlinear Engineering, 2015, vol. 4, no. 2, pp. 67–75. https://doi.org/10.1515/nleng-2014-0019
  10. Li D., Qing G., Liu Y. A layerwise/solid-element method for the composite stiffened laminated cylindrical shell structures. Composite Structures, 2013, vol. 98, pp. 215–227. https://doi.org/10.1016/j.compstruct.2012.11.013
  11. Calladine C.R. Shell buckling, without ‘imperfections’. Advances in Structural Engineering, 2018, vol. 21, no. 16, pp. 2393–2403. https://doi.org/10.1177/1369433217751585
  12. Błachut J. Buckling of externally pressurized steel toriconical shells. International Journal of Pressure Vessels and Piping, 2016, vol. 144, pp. 25–34. https://doi.org/10.1016/j.ijpvp.2016.05.002
  13. Feng K., Xu J. Buckling analysis of composite cylindrical shell panels by using Legendre polynomials hierarchical finite-strip method. Journal of Engineering Mechanics, 2017, vol. 143, no. 4, pp. 04016121. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001181
  14. Qu Y., Chen Y., Long X., Hua H., Meng G. A modified variational approach for vibration analysis of ring-stiffened conical-cylindrical shell combinations. European Journal of Mechanics – A/Solids, 2013, vol. 37, pp. 200–215. https://doi.org/10.1016/j.euromechsol.2012.06.006
  15. Trushin S., Goryachkin D. Numerical evaluation of stress-strain state of bending plates based on various models. Procedia Engineering, 2016, vol. 153, pp. 781–784. https://doi.org/10.1016/j.proeng.2016.08.242
  16. Petrov D., Semenov A. Buckling of cylindrical shell panels in ANSYS. AIP Conference Proceedings, 2020, vol. 2315, no. 1, pp. 020032. https://doi.org/10.1063/5.0036813
  17. Kuimova E.V., Trufanov N.A. The numerical prediction of effective thermoviscoelastic properties of unidirectional fiber composite with the viscoelastic components. Vestnik of Samara University. Natural Science Series, 2009, no. 4(70), pp. 129–148. (in Russian)
  18. Soloviev A.N., Ziborov E.N., Shevtsov S.N. Determination of elastic properties of reinforced composite materials based on finite element modeling. Science in the South Russia, 2016, vol. 12, no. 2, pp. 3–10. (in Russian)
  19. Sovetova Yu.V., Sidorenko Yu.N., Skripnyak V.A. The multilevel approach to studying the influence of the volumetric ratio in components of unidirectional carbon fiber composite on its mechanical properties. Tomsk State University Journal of Mathematics and Mechanics, 2014, no. 2(28), pp. 77–89. (in Russian)
  20. Trusov P.V., Shveikin A.I. Multilevel models of mono- and polycrystalline materials: theory, algorithms and applied examples. Novosibirsk, SBRAS, 2019, 605 p. (in Russian). https://doi.org/10.15372/MULTILEVEL2019TPV
  21. Shveykin A.I., Sharifullina E.R., Trusov P.V., Pushkov D.A. About estimation of sensitivity of statistical multilevel polycrystalline metal models to parameter variations. Computational Continuum Mechanics, 2018, vol. 11, no. 2, pp. 214–231. (in Russian). https://doi.org/10.7242/1999-6691/2018.11.2.17
  22. Volynin A.L. Comparative calculation of strength and stability of reinforced shells with PC Obolochka and PC ANSYS. Bulletin of Civil Engineers, 2010, no. 2(23), pp. 38–43. (in Russian)
  23. Molchanov A.I., Molchanova E.A. Olution of engineering problems by means of ANSYS. Vestnik Hakasskogo gosudarstvennogo universiteta im. N.F. Katanova, 2012, no. 1, p. 114–120. (in Russian)
  24. Manuylov G.A, Kositsyn S.B, Begichev M.M. The investigation of stability of elastic plates and shells with the help of FE modeling. Structural Mechanics of Engineering Constructions and Buildings, 2011, no. 1, pp. 58–65. (in Russian)
  25. Baranova D.A., Volynin A.L., Karpov V.V. The comparative analysis of calculation of durability and stability of the supported shells on the basis of the PC Obolochka and PC ANSYS. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2010, vol. 10, no. 4, pp. 23–27. (in Russian). https://doi.org/10.18500/1816-9791-2010-10-4-23-27
  26. Kolesnikov M. Numerical strain-stress state analysis of cylindrical shell undergoing periodical in circumferential direction axial loading. Visnyk Prydniprovs'koi' derzhavnoi' akademii' budivnyctva ta arhitektury, 2011, no. 11-12(164-165), pp. 66–72. (in Russian)
  27. Smerdov A.A., Buyanov I.A., Chudnov I.V. Analysis of optimal combinations of requirements to developed CFRP for large space-rocket designs. BMSTU Journal of Mechanical Engineering, 2012, no. 8, pp. 70–77. (in Russian)
  28. Tyshkevich V.N. Choice of the strength criterion for reinforced plastic pipes. Izvestia VSTU, 2011, no. 5(78), pp. 76–79. (in Rusian)


Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License
Copyright 2001-2024 ©
Scientific and Technical Journal
of Information Technologies, Mechanics and Optics.
All rights reserved.

Яндекс.Метрика