2024/03/30 by Noah, Moses Friday, Chukwuchekwa, Joy Ulumma, Osuji, Atulegwu Chukwudi
#Asymptotic #Buckling #Dynamic #Perturbation #Static
paper · doi:10.60787/tnamp-19-185-206
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.