On the convergence of the dynamic series solution of a constrained elastic column subjected to wind gust

Abstract

The one dimensional problem of analysing the dynamic behaviour of an elevated water tower with elastic deflection–control device and subjected to a dynamic load was examined in [2]. The constrained elastic system was modeled as a column carrying a concentrated mass at its top and elastically constrained at a point along its length. A new solution technique, which yielded a series solution to the problem, was then developed. This paper is basically concerned with establishing the convergence of the series solution obtained in [2] and hence, the acceptance of this solution as the actual solution of the constrained elevated water tower vibration problem. Damping is neglected.

Journal of the Nigerian Association of Mathematical Physics Vol. 8 2004: pp. 157-160