Determination of dynamic buckling load of a clamped finite column resting on quadratic-cubic elastic foundation
| dc.contributor.author | Bassey, Julius Effiong | |
| dc.date.accessioned | 2026-03-23T10:21:00Z | |
| dc.date.available | 2026-03-23T10:21:00Z | |
| dc.date.issued | 2024-12 | |
| dc.description | This thesis is for the award of Doctor of Philosophy (PhD.) in Industrial and Applied Mathematics | |
| dc.description.abstract | This research work centred on the determination of the dynamic buckling load of a clamped finite column structure that is lying on a quadratic-cubic foundation by the analytic and numerical procedures. The formulation of the governing equation contains two small but mathematically independent parameters (δ and ϵ) which are used for asymptotic expansion of the variables. For the solutions, two techniques were applied to investigate namely, twotiming regular perturbation procedure and Block Unification Method (BUM). BUM was adopted to solve the governing equation through the method of lines and finite difference methods. The results obtained indicate that the dynamic buckling load decreases with increased imperfection, and decreases with increased in damping. More so, it was shown that the results obtained are strictly asymptotic and valid in the limit as the small parameters become increasingly small relative to unity. | |
| dc.identifier.citation | Bassey J. E. (2024). Determination of dynamic buckling load of a clamped finite column resting on quadratic-cubic elastic foundation [Unpublished Doctoral Thesis). Federal University of Technology, Owerri, Nigeria | |
| dc.identifier.uri | https://repository.futo.edu.ng/handle/20.500.14562/2442 | |
| dc.language.iso | en | |
| dc.publisher | Federal University of Technology, Owerri | |
| dc.rights | Attribution-NonCommercial-ShareAlike 4.0 International | en |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | |
| dc.subject | Dynamic | |
| dc.subject | buckling | |
| dc.subject | load | |
| dc.subject | block unification method | |
| dc.subject | stability | |
| dc.subject | Department of Mathematics | |
| dc.title | Determination of dynamic buckling load of a clamped finite column resting on quadratic-cubic elastic foundation | |
| dc.type | Doctoral Thesis |