International Journal of Mathematics Trends and Technology
Volume 66 | Issue 8 | Year 2020 | Article Id. IJMTT-V66I8P511 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I8P511
This paper is concerned with analytical determination of the deformation of an imperfect finite toroidal shell segment pressurized by a static load. The continuously differentiable imperfection is assumed in the form of a two – term Fourier series expansion and the boundary conditions are assumed simply – supported. The formulation contains a small parameter depicting the amplitude of imperfection while the normal displacement and Airy stress function are the ones that are first asymptotically determined. A simple mathematical formula for evaluating the static buckling load is finally determined, and the formula which expressly contains the two Fourier coefficients, amply show – cases the contribution, significance and relevance of these two Fourier coefficients compared to an earlier result which had only one Fourier coefficient.
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Ette, A. M., Chukwuchekwa, J. U., Onuoha, N. O., Udo – Akpan, I. U., "On the deformation and Static buckling of a toroidal shell segment using a two – term Fourier series imperfections," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 8, pp. 100-115, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I8P511
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