 | | 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: | | 13554 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8194
|
| In English (Mech. Solids): | | 5360 |
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| << Previous article | Volume 60, Issue 7 / 2025 | Next article >> |
| G.E. Ozoigbo, J.U. Chukwuchekwal, and W.I. Osujil, "Dynamic Buckling Analysis of a Cylindrical Shell Pressurized by a Slowly Varying Explicitly – Time Dependent Load," Mech. Solids. 60 (7), 5979-5999 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
7 |
Pages |
5979-5999 |
| DOI |
10.1134/S0025654425602733 |
| Title |
Dynamic Buckling Analysis of a Cylindrical Shell Pressurized by a Slowly Varying Explicitly – Time Dependent Load |
| Author(s) |
G.E. Ozoigbo (Department of Mathematics and Statistics, Alex Ekwueme Federal University Ndufu – Alike, Ebonyi State, Nigeria, geraldozoigbo@yahoo.co.uk)
J.U. Chukwuchekwal (Department of Mathematics, Federal University of Technology, Owerri, Imo State, Nigeria, joyuchekwa@gmail.com)
W.I. Osujil (Department of Mathematics, Federal University of Technology, Owerri, Imo State, Nigeria, osujiwillians03@yahoo.com) |
| Abstract |
This investigation carries out a perturbation analysis of a viscously damped finite but imperfect cylindrical shell. This cylindrical shell is then trapped by a dynamically slowly varying loading history where the time variable is non – autonomously explicit in the formulation. Asymptotic expansions are utilized all through and the cylindrical shell is assumed to be simply–supported on both ends. The damping coefficient is of some order of imperfection magnitude while the loading history is
assumed to be infinitely differentiable and has right hand derivatives of all orders at the initial time.
Generally, the formulation becomes a one–small–parameter problem in the imperfection magnitude which is assumed small relative to unity. In the final analysis, a simple but implicit formula for
determining the dynamic buckling load is obtained. It is observed that the dynamic buckling load
depends, among other things, on the first derivative of the loading history evaluated at the initial time. |
| Keywords |
cylindrical shells, dynamic buckling, explicitly-time dependent loads, perturbation and asymptotic analyses |
| Received |
28 May 2025 | Revised |
17 October 2025 | Accepted |
04 November 2025 |
| Link to Fulltext |
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