# THE DYNAMIC BUCKLING LOAD FORMULA OF A CUBIC MODEL STRUCTURE STRUCK BY SLOWLY VARYING FREQUENCY

## DOI:

https://doi.org/10.60787/## Keywords:

Buckling, Asymptotic, Perturbation, Static, Dynamic## Abstract

This investigation is centred on an analytical determination of the dynamic buckling loads formula of some viscously damped elastic structures pressurized by a periodic load with slowly varying circular frequencies. The formulation has two small but mathematically independent parameters which allow the use of asymptotic expansions of the variables. In addition, a two-timing regular perturbation procedure is used to analyze the relevant equations which contain some degrees of nonlinearities in their formulation. The dynamic buckling load, λ_{D} lies between 0 and 1, 0<λ_{D}<< 1.

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*The Transactions of the Nigerian Association of Mathematical Physics*,

*19*, 185-206. https://doi.org/10.60787/