Volume 15 article 452 pages: 345 - 349

Published: Sep 19, 2017

DOI: 10.5937/jaes15-14654

OPTIMAL DESIGN OF FLEXIBLE SHALLOW SHELLS ON ELASTIC FOUNDATION

Alexandr Georgiyevich Kolesnikov
Alexandr Georgiyevich Kolesnikov
Search for articles by this author
Open PDF

Abstract

This paper contains analysis of optimal forms of a geometric nonlinear (flexible) shallow shells based on an elastic foundation. Rise of arch in the center of the shell, width, length and type of support are given. The design variable is taken to be the thickness of the shallow shell, the form of the middle surface forming and the characteristic of elastic foundations. Critical force coefficient and stress of shells are calculated by Bubnov-Galerkin.

Keywords

Shallow shells Nonlinearity Elastic foundation Critical force Strength Variable form

References

Nie G, Chan C, Yao J, He X (2009): Asymptotic solution for nonlinear buckling of orthotropic shells on elastic foundation, AIAA Journal, 47- 7, pp. 1772-1783.

Stupishin L, Kolesnikov A (2014): Geometric nonlinear shallow shells for variable thickness investigation, Advanced Materials Research, 919-921, pp. 144-147.

Trushin S, Zhavoronok S (2002): Nonlinear analysis of multilayered composite shells using finite difference energy method, Space Structures 5 proceedings of the Fifth International Conference on Space Structures, held at the University of Surrey, pp. 1527-1533.

Stupishin L, Kolesnikov A (2014): Reconstruction of shallow shells for increase bearing capacities and operating characteristics, Applied Mechanics and Materials, 580-583, pp. 3062-3065.

Straughan W (1990), Analysis of plates on elastic foundations, Texas Tech University, p. 85.

Stupishin L, Kolesnikov A, Nikitin K (2017): Variable form forming investigation for flexible shallow shells on circular base, Asian journal of civil engineering (BHRC) vol.18,№.2 pp.163-171

Stupishin L.U., Nikitin K. (2014) Mixed finite element of geometrically nonlinear shallow shells of revolution. Applied Mechanics and Materials. Т. 501-504. pp. 514-517.

Andreev V, Avershyev A (2013): Stationary problems of moisture-elasticity for inhomogeneous thick-walled shells, Advanced Materials Research, 671-674, pp. 571-575.

Stupishin L, Kolesnikov A, Ozerova T (2013): Investigation of Stressed-Strained State of Shallow Geometric Nonlinear Shells On The Round Plan of Variable Shape at Different Types Of Loading, Industrial and Civil Construction. № 5. pp. 33-34.

Nath Y, Jain R (1983): Non-linear dynamic analysis of shallow spherical shells on elastic foundations, International Journal of Mechanical Sciences, 25