Perturbation appraisal of the dynamic buckling of an elastic model structure pressurized by a slowly varying load

Abstract

In this paper, we examine the dynamic stability of a nonlinear dynamical system, with quadratic nonlinearity, pressurized by a strictly slowly varying time dependent load applied just after the initial time. Regular perturbation method in asymptotic expansions of the variables is used .The dynamic buckling load is determined nontrivially and is related to the static buckling load. Such a procedure by-passes the labour of repeating the entire asymptotic procedure for different imperfection parameters.

Journal of the Nigerian Association of Mathematical Physics, Volume 15 (November, 2009), pp 47 - 54