Determination of dynamic buckling load of a clamped finite column resting on quadratic-cubic elastic foundation
Date
2024-12
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Federal University of Technology, Owerri
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.
Description
This thesis is for the award of Doctor of Philosophy (PhD.) in Industrial and Applied Mathematics
Keywords
Dynamic, buckling, load, block unification method, stability, Department of Mathematics
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 Determination of dynamic buckling load of a clamped finite column resting on quadratic-cubic elastic foundation [Unpublished Doctoral Thesis).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