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

Authors

  • Moses Friday Noah Department of Mathematics, Federal University of Technology, Owerri. Imo State, Nigeria. Author
  • Joy Ulumma Chukwuchekwa Department of Mathematics, Federal University of Technology, Owerri. Imo State, Nigeria Author
  • Atulegwu Chukwudi Osuji Department of Mathematics, Covenant University, Ota Ogun State, Nigeria. Author

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, λD lies between 0 and 1, 0<λD<< 1.

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Published

2024-03-29

How to Cite

THE DYNAMIC BUCKLING LOAD FORMULA OF A CUBIC MODEL STRUCTURE STRUCK BY SLOWLY VARYING FREQUENCY. (2024). The Transactions of the Nigerian Association of Mathematical Physics, 19, 185-206. https://doi.org/10.60787/

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