Parametric Resonance of Skew Stiffened Plates

Abstract

An investigation of the region of principal resonance of low-order spatial modes of an in-plane loaded, skew stiffened plate is considered. Hamilton’s principle is used to arrive at the equation of motion in which plate stiffening is accounted for through discrete representation. The method of averaging in the first approximation reduces the equation of motion to two independent equations which are subsequently solved by a perturbation technique in order to determine boundary curves for the principal region of resonance. Selected numerical examples indicate the effect of variation of skew angle and stiffening on the principal region of resonance. A brief discussion of problems inherent in this consideration of simply supported skew plates is included.