Snap-Through Buckling Problem of Spherical Shell Structure

Sumirin Sumirin, Nuroji Nuroji, Sahari Besari


DOI: https://doi.org/10.12777/ijse.8.1.54-59

Abstract


This paper presents results of a numerical study on the nonlinear behavior of shells undergoing snap-through instability. This research investigates the problem of snap-through buckling of spherical shells applying nonlinear finite element analysis utilizing ANSYS Program. The shell structure was modeled by axisymmetric thin shell of finite elements. Shells undergoing snap-through buckling meet with significant geometric change of their physical configuration, i.e. enduring large deflections during their deformation process. Therefore snap-through buckling of shells basically is a nonlinear problem. Nonlinear numerical operations need to be applied in their analysis. The problem was solved by a scheme of incremental iterative procedures applying Newton-Raphson method in combination with the known line search as well as the arc- length methods. The effects of thickness and depth variation of the shell is taken care of by considering their geometrical parameter l. The results of this study reveal that spherical shell structures subjected to pressure loading experience snap-through instability for values of l≥2.15. A form of ‘turn-back’ of the load-displacement curve took place at load levels prior to the achievement of the critical point. This phenomenon was observed for values of l=5.0 to l=7.0.


Keywords


snap-through buckling, nonlinear analysis, inflection point, geometric parameter

Full Text:

FULL TEXT PDF

References


ANSYS. 2009. Theory Reference for the Mechanical APDL and Mechanical Applications, Release 12.1, ANSYS, Inc. South Pointe 275 Technology Drive, Canonsburg.

Bathe, K.J. 1982. Finite Element Procedures in Engineering Analysis. Prentice-Hall, New Jersey.

Bazant, Z.P. and Cedolin, L. 1991. Stability of Structures, Oxford University Press, New York Oxford.

Budiono, R.B. 1995. Hysteretic Behaviour of Partially-Prestressed Concrete Beam-Column Connections. Thesis of Doctor of Philosophy, Department of Structural Engineering School of Civil Engineering, University of New South Wales.

Bushnell, D. 1989. Computerized Buckling Analysis of Shells. Kluwer Academic Publishers. The Netherlands.

Chen, W.F., dan Lui, E.M. 1987. Structural Stability. Elservier Science Publishing Co., Inc. New York.

Crisfield, M.A. 1980. A Fast Incremental Iterative Solution Procedure that Handles Snap-Through, Computer and Structures, Vol.13 pp.55-62, England.

Felippa, C.A. 2004. Advanced Finite Element Methods. Department of Aerospace Engineering Sciences, University of Colorado at Boulder, http://caswww.colorado.edu/courses.d/AFEM.d/Home.html

Fung, Y.C., and Sechler, E.E. 1974). Thin Shell Structures, Prentice-Hall Inc., Englewood Clift, New Jersey, U.S.A.

Kaplan, A. 1954. Finite Deflection and Bending of Curved and Shallow Spherical Shells under Lateral Loads, Thesis Doctor of Philosophy, California Institute of Technology Pasadena, California.

Karman, V.T., dan Kerr, A.D. 1962. Instability of Spherical Shells Subjected to External Pressure, National Aeronautics and Space Administration, Washington.

Taeprasartsit, S. and Tao, K. 2005. Effect of Shell Geometry and Material Constant on Dynamic Buckling Load of Elastic Perfect Clamped Spherical Caps, Asian Journal of Civil Engineering (Building and Housing), Japan, Vol.6, No.4, pp.303-315.

Uchiyama, M. and Yamada, S. 2000. Nonlinear Buckling Simulations of Imperfect Shell Domes using a Hybrid Finite Element Formulation and the Agreement with Experiments, Fourth International Colloquium on Computation of Shell & Spatial Structures, Chania-Crete, Greece.

Yamaguchi, E. and Chen, W-F. 1999. Basic Theory of Plates and Elastic Stability, Structural Engineering Handbook, Boca Raton, CRC Press LLC.




Published by Department of Chemical Engineering University of Diponegoro Semarang
Google Scholar
IJSE  by http://ejournal.undip.ac.id/index.php/ijse is licensed under Creative Commons Attribution 3.0 License.