 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4760 |
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| G.E. Ozoigbo, A.M. Ette, J.U. Chukwuchekwa, W.I. Osuji, and I.U. Udo-Akpan, "Nonlinear Analytical Investigation of Dynamic Buckling of a Spherical Shell Trapped under a Periodic Load," Mech. Solids. 58 (1), 202-215 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
1 |
Pages |
202-215 |
| DOI |
10.3103/S0025654422100119 |
| Title |
Nonlinear Analytical Investigation of Dynamic Buckling of a Spherical Shell Trapped under a Periodic Load |
| Author(s) |
G.E. Ozoigbo (Department of Mathematics and Statistics, Alex Ekwueme Federal University, Ndufu - Alike. Ebonyi State, Nigeria, geraldozoigbo@yahoo.co.uk)
A.M. Ette (Department of Mathematics, Federal University of Technology, Owerri. Imo State, Nigeria, tonimonsette@yahoo.com)
J.U. Chukwuchekwa (Department of Mathematics, Federal University of Technology, Owerri. Imo State, Nigeria, joyuchekwa@yahoo.com)
W.I. Osuji (Department of Mathematics, Federal University of Technology, Owerri. Imo State, Nigeria, osujiwillians03@yahoo.com)
I.U. Udo-Akpan (Department of Mathematics and Statistics, University of Port Harcourt, Port Harcourt, Rivers State, Nigeria, itoroubom@yahoo.com) |
| Abstract |
In this investigation, we are concerned with analytical determination of the dynamic buckling load of an imperfect spherical shell that is periodically loaded. Here, a small parameter is chosen upon which all asymptotic expansions are initiated. The imperfection is split into axisymmetric and non-axisymmetric parts which are also in the shapes of the buckling modes. There is however no mathematical restrictions as to the interval of validity of the magnitudes of imperfection. Using asymptotics, the static and the dynamic buckling loads are determined and related to each other. However, this mathematical relationship of the two buckling loads is not independent of the imperfection parameters. Thus, it is possible to obtain one of these buckling loads once one of them is already known. By restricting the load function to certain values, results of the corresponding step loading case can be easily obtained and this is seen to be an improvement on earlier results obtained in the literature. |
| Keywords |
nonlinear, analytical investigation, dynamic buckling, spherical shell, periodic load |
| Received |
17 February 2022 | Revised |
01 June 2022 | Accepted |
10 October 2022 |
| Link to Fulltext |
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