Analytical and computer research of stability of three layer shells, supported by stiffness ribs

  • Authors

    • Mykola Surianinov Odesa State Academy of Civil Engineering and Architecture
    • Tetiana Yemelianova Odesa State Academy of Civil Engineering and Architecture
    • Dina Lazarieva Odesa State Academy of Civil Engineering and Architecture
    2019-07-14
    https://doi.org/10.14419/ijet.v7i4.24672
  • Three-Layer Shell, Light-Weight Aggregate, Stability, Critical Load, Stiffness Ribs, Finite-Element Analysis, ANSYS.
  • Development of calculation model and algorithm of research of stability of three-layer cylindrical shell with light-weight aggregate, support-ed by regular transverse stiffness ribs is considered in the paper. In variational way, using the functional-action by Ostrograskiy-Hamilton, there were obtained differential equation of stability of shell’s part, enclosed between ribs, and conditions along ribs lines and edges of three-layer sloping shell, supported by longitudinal stiffness ribs at simple support of edges. For external bearing layers of shell, the hy-potheses of Kirchhoff-Love were accepted. For aggregate was accepted the principle of linear change of tangential displacements along thickness. Transverse deformations were not considered. Bernoulli hypotheses were accepted for ribs. There was considered only the bent of ribs in vertical plane. Using the passage to the limit there were obtained conditions on the ribs lines without consideration of shear defor-mations in ribs. Using the theory of finite-difference equations there was obtained the stability equation for determining of parameter of critical stiffness of ribs and coefficient of critical load. Comparison of calculation results of stability of three-layer shell without ribs by au-thor’s method with experimental data was performed for twenty variants of initial data.

     

     

     

  • References

    1. [1] Yuh-Chun Hu, Shyh-Chin, Huang the frequency response and damping effect of three-layer thin shell with viscoelastic core / Computers & Structures – Vol. 76, Issue 5, 2000, p. 577-591. https://doi.org/10.1016/S0045-7949(99)00182-0.

      [2] Kujala, P., & Klanac, A. (2005). Steel sandwich panels in marine applications. Brodogradnja: Teorija i praksa brodogradnje i pomorske tehnike, 56(4), 305-314.

      [3] Takeuchi, M., Narikawa, M., Matsuo, I., Hara, K., & Usami, S. (1998). Study on a concrete filled structure for nuclear power plants. Nuclear Engineering and Design, 179(2), 209-223. https://doi.org/10.1016/S0029-5493(97)00282-3.

      [4] Huang, Z., & Liew, J. R. (2016). Structural behaviour of steel–concrete–steel sandwich composite wall subjected to compression and end moment. Thin-Walled Structures, 98, 592-606. https://doi.org/10.1016/j.tws.2015.10.013.

      [5] Paul Ih-fei Liu. Energy, technology, and the environment. — New York: ASME, 2005. — 275 p.

      [6] Swarup R., Mishra S. N., Jauhari V. P. Environmental Science and Technology. — New Delhi: Mittal publications, 1992. — 329 p.

      [7] Samoylov O.B., Usynin G.B., Bahmetiev A.M. Bezopasnost yadernyh energeticheskih ustanovok. – M: Energoatomizdat, 1989. – 280 p. (in Russian)

      [8] Grigolyuk E.I., Chulkov P.P. Kriticheskie nagruzki trehsloynih cilindricheskih i konicheskig obolochek. – Novosibirsk: Zapadno-sibirskoe knizhnoe izdatelstvo, 1966. – 263 p. (in Russian)

      [9] Grigolyuk E.I., Chulkov P.P. Ustoychivost i kolebaniya trehsloynih obolochek. – M: Mashinostroenie, 1973. – 172 p. (in Russian)

      [10] Dafedar, J. B., Desai, Y. M., & Mufti, A. A. (2003). Stability of sandwich plates by mixed, higher-order analytical formulation. International journal of solids and structures, 40(17), 4501-4517. https://doi.org/10.1016/S0020-7683(03)00283-X.

      [11] Kipiani G.O., Mihaylov B.K., Moskalova V.G. Ustoychivost trehsloynih obolochek i plastin s narusheniyami sploshnosti v vide razrezov I otverstiy / Issledovaniya po teorii plastin i obolochek, 25. – Izdatelstvo Kazanskogo universiteta: Kazan, 1992. – p. 115-120. (in Russian)

      [12] I. Yu. Babich, V. I. Kilin. Stability of a three-layer orthotropic cylindrical shell under axial compression / Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 21, No. 6, pp. 44–48, June 1985. https://doi.org/10.1007/BF00887566.

      [13] Abdullah Sofiyev, Orhan Aksogan, Eckart Schnack, Mehmet Avcar. The Stability of a Three-layer Composite Conical Shell Containing a FGM Layer Subjected to External Pressure / Mechanics of Advanced Materials and Structures. Volume 15, 2008 — Issue 6-7. p. 461-466. https://doi.org/10.1080/15376490802138492.

      [14] Wolfram, S. (1996). Mathematica (p. 749). Cambridge: Cambridge university press.

      [15] Lee, H. H. (2017). Finite Element Simulations with ANSYS Workbench 17. SDC publications.

      [16] Kurshin L.M. Ob uchete izgibnoy zhestkosti vneshnih sloev trehsloynoy krivolineynoy paneli, rabotayuschey na prodolnoe szhatie // Voprosy rascheta elementov aviatsionnyh konstrukciy: sbornik statey. – M.: Oborongiz, 1959. – №1. – p. 80-85 (in Russian)

      [17] Kirichenko V.L., Yemelianova T.O. Differentsialnie uravneniya ustoychivosti pologoy trehsloynoy obolochki s legkim zapolnotelem, podkreplennoy rebrami zhestkosti // “Vestnik†Khersonskogo gosudarstvennogo tehnicheskogo universiteta, 1999. – №3(6). (in Russian)

      [18] Yemelianova T.A. Ustoychivost trehsloynoy pologoy obolochki s legkim zapolnitelem, podkreplennoy prodolnymi rebrami zhestkosti // Sbornik “Aktualnie problem dinamiki i prochnosti v teoreticheskoy i prikladnoy mehanike†(po materialam Mezhdunarodnoy nauchno-tehnicheskoy konferentsii), Minsk: UP “Tehnoprintâ€. – 2001. (in Russian)

      [19] Whitty, J. P. M., Alderson, A., Myler, P., & Kandola, B. (2003). Towards the design of sandwich panel composites with enhanced mechanical and thermal properties by variation of the in-plane Poisson's ratios. Composites Part A: Applied Science and Manufacturing, 34(6), 525-534. https://doi.org/10.1016/S1359-835X(03)00058-7.

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  • How to Cite

    Surianinov, M., Yemelianova, T., & Lazarieva, D. (2019). Analytical and computer research of stability of three layer shells, supported by stiffness ribs. International Journal of Engineering & Technology, 7(4), 6797-6800. https://doi.org/10.14419/ijet.v7i4.24672