Author(s)

G. E. Ozoigbo^1*, A. M. Ette²

¹Department of Mathematics/Computer Science/Statistics & Informatics, Alex Ekwueme Federal University Ndufu-Alike, Ikwo, Ebonyi State, Nigeria.
²Department of Mathematics, Federal University of Technology, Owerri, Imo State, Nigeria.

The static buckling load of an imperfect circular cylindrical shell is here determined asymptotically with the assumption that the normal displacement can be expanded in a double Fourier series. The buckling modes considered are the ones that are partly in the shape of imperfection, and partly in the shape of some higher buckling mode. Simply-supported boundary conditions are considered and the maximum displacement and the static buckling load are evaluated nontrivially. The results show, among other things, that generally the static buckling load, λ_s decreases with increased imperfection and that the displacement in the shape of imperfection gives rise to the least static buckling load.

Static, Maximum Displacement, Circular, Cylindrical Shell

Ozoigbo, G. and Ette, A. (2019) On the Maximum Displacement and Static Buckling of a Circular Cylindrical Shell. Journal of Applied Mathematics and Physics, 7, 2868-2882. doi: 10.4236/jamp.2019.711196.