On the dynamic buckling of lightly damped cylindrical shells modulated by a periodic load

Abstract

The dynamic buckling load of finite imperfect, lightly but viscously damped cylindrical shells subjected to a periodic load, is determined using the technique of multiple scaling (two-timing) regular perturbation analysis. The geometric imperfection, assumed deterministic, are also assumed small and are expanded in a double Fourier series. The dynamic buckling load is obtained asymptotically and the result is found to be implicit in the load parameter.

Journal of the Nigerian Association of Mathematical Physics Vol. 10 2006: pp. 327-344