Parametric analysis of the dynamic properties of sectorial shells

Abstract

The behavioral responses of sectorial shells as related to the number of modes and certain geometric properties of the shell have been studied. By varying certain dimensionless geometric properties of the shell and considering a series of undamped vibration modes, the influences of these properties on displacements, edge reactions, bending moments and other responses have been plotted and relevant conclusions reached.

Two very important observations from this work are that, unlike in conventional regular building structures where the first mode is dominant in influencing various dynamic response behaviours and high-order modes affect less, the principal mode in sectorial shells fails to influence these responses while higher modes contribute progressively and significantly to those effects.