NUMERICAL MODELING OF THE BUCKLING RESISTANCE OF RULED HELICOIDAL SHELLS

Cover Page

Cite item

Full Text

Abstract

The paper concerns the buckling analysis of thin shells of right helicoid form. The buckling analysis was performed by the means of finite element software. Shells with variable pitch number and same contour radiuses and height were compared, their straight edges fixed and the curvilinear contours free. Was used for the analysis triangular shell finite elements (No. 42). The total number of nodal unknowns was the same in each of the considered tasks and was 16 206. Numerical investigation of the stability was performed by the finite element method in the software package Lira-Sapr 2017. The number of nodes in each task was the same. The loading includes combination of gravity (dead load) and vertical equally distributed load. The buckling mode and stability factor for every case is calculated. Boundary conditions - elastic built in shells along the bottom and top generatrices. To plot the midsurface of each shell were used parametric equations in rectangular coordinates. Of particular interest is the study of natural oscillations of the shells considered. To define the frequencies and forms of free vibrations is taken into account only the own weight of the helicoidal shells.

About the authors

Mathieu Giloulbe

Peoples’ Friendship University of Russia (RUDN University)

Author for correspondence.
Email: giloulbem@hotmail.com

PhD civil engineering, Associate Professor, Department of architecture and civil engineering, Engineering Academy, RUDN University. Research interests: theory of thin elastic shells, nonlinear stability of shells of complex geometry, computer modeling

6, Miklukho-Maklaya str., Moscow, 117198, Russian Federation

Aleksei S Markovich

Peoples’ Friendship University of Russia (RUDN University)

Email: markovich.rudn@gmail.com

PhD civil engineering, Associate Professor, Department of architecture and civil engineering, Engineering Academy, RUDN University. Research interests: construction mechanics, numerical methods for calculating structures, computer modeling.

6, Miklukho-Maklaya str., Moscow, 117198, Russian Federation

Evgeniya M Tupikova

Peoples’ Friendship University of Russia (RUDN University)

Email: tupikova_em@rudn.university

PhD civil engineering, Assistant Professor, Department of architecture and civil engineering, Engineering Academy, RUDN University. Research interests: theory of thin elastic shells, nonlinear stability of shells of complex geometry, computer modeling

6, Miklukho-Maklaya str., Moscow, 117198, Russian Federation

Yulian V Zhurbin

Peoples’ Friendship University of Russia (RUDN University)

Email: julianzhurbin2015@gmail.com

Graduated from the Peoples’ Friendship University of Russia in 2016 with a degree in “Construction Engineering and Technology”. Currently studying in full-time magistracy in the specialty “Theory and design of buildings and structures”. Research interests: computer modeling and analysis of building structures

6, Miklukho-Maklaya str., Moscow, 117198, Russian Federation

References

  1. Krivoshapko S.N., Ivanov V.N. Encyclopedia of analytic surfaces. Moscow: LIBROKOM, 2010. 560 p. (In Russ.)
  2. Aleksandrov P.V., Nemirovsky Yu.V. Investigation of the stressed state of reinforced helicoidal shells. Izvestiya Vuzov. Building. 1994. No. 11. P. 48—55. (In Russ.)
  3. Aleksandrov P.V., Nemirovsky Yu.V. Stress state of reinforced helicoidal shells. Izvestiya Vuzov. Construction and architecture. 1991. No. 9. P. 18—24. (In Russ.)
  4. Czaplinski K., Marcinkowski Z., Swiecicki W. An analysis of stress in the combined structure of a spiral stairway // Eighth Cong. Mater. Fest. Budapest. 28 Sept.-1 Oct. 198. Lectures. Vol. 3. Budapest. 1982. 1003—1007.
  5. Nedelchev V.V. Vita of the Plateau of the Stlba, Statically Podpryana in the Edge of Edge. Building. 1989. T. 36. № 5. P. 3—4. (Bulgarian).
  6. Birger I.A. Spatial stress state in blades with initial twist // Tr. CIAM. 1982. No. 996. Pp. 7—23. (In Russ.)
  7. Shorr B.F. Oscillations of swirling rods. Izv. AS USSR. Mechanics and machine building. 1961. No. 3. P. 35—39. (In Russ.)
  8. Simmonds James G. General helicoidal shells undergoing large, one-dimensional strains or large inextentional deformations. Int. J. Solids and Struct. 1984. Vol. 20. No. 1. P. 13—30.
  9. Simmonds James G. Surfaces with metric and curvature tensors that depend on one coordinate only are general helicoids. Q. Appl. Math. 1979. Vol. 37. Р. 82—85.
  10. Salman Abdallah A. Al-Duhheisat.Analytical and numerical approaches to the problem of static calculation of a thin helical shell with unfolding middle surface / Reconstruction of buildings and structures. Strengthening the foundations and foundations: Int. scientific and practical work. Conf. Penza: PGAASA. PVZ. 1999. P. 67—70. (In Russ.)
  11. Krivoshapko S.N., Abdelsalam M.A. Methods analysis of helical shells in the form of torsohelicoids / Modern construction: Int. scientific — practical conference. Penza: PGAASA, PDZ, 1998. P. 105—107. (In Russ.)
  12. Krivoshapko S.N. Application of the asymptotic method of small parameter for the analytical calculation of thin elastic torso-helicoids // Spatial structures of buildings and structures. Moscow: OOO “Nine Print” Publ., 2004. Issue. 9. P. 36—44. (In Russ.)
  13. Mansfield E. On finite inextentional deformation of a helical strip. Int. J. Non-linear Mech. 1980. Vol. 15. No. 6. Р. 459—467.
  14. Meerson B. Theoretical study of the stress-strain state of the helical shell. Ufim. aviats. in-t, Ufa, 1988. 22 s., ill. Bibl. 6 names. (Manuscript of the Depot in VINITI on 12.07.88., No. 5593-B88). (In Russ.)
  15. Salman Abdallah A. al-Duhheisat.Analytical and numerical approaches to the problem of static calculation of a thin helical shell with an unfolding middle surface // Reconstruction of buildings and structures. Strengthening the foundations and foundations: Int. scientific and practical work. Conf. Penza: PGAASA, PDZ, 1999. P. 67—70. (In Russ.)
  16. Rynkovskaya M.I. Bending and the problem of calculating thin elastic shells in the form of a straight and unfolding helicoid on the distributed load and the draft of one of the curvilinear supports: diss. thesis. Moscow, 2013. 217 p. (In Russ.)
  17. Mansfield E. On the finite non-uniform deformation of a spiral band. Int. J. Nonlinear fur. 1980. Vol. 15. No. 6. P. 459—467. (In Russ.)

Copyright (c) 2018 Giloulbe M., Markovich A.S., Tupikova E.M., Zhurbin Y.V.

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

This website uses cookies

You consent to our cookies if you continue to use our website.

About Cookies