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

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.