An efficient finite element model for static and vibration analysis of eccentrically stiffened plates/shells

Abstract Two isoparametric finite element models (QS8S1 and QL9S1) for static and vibration analysis of plates/shells with eccentric stiffeners have been proposed. The eight-noded QS8S1 and the nine-noded QL9S1 models have been arrived at by appropriately combining serendipity or Lagrangian plate/shell elements with the three-noded isoparametric beam element employing suitable transformations for eccentricity. Transverse shear deformations are included in the formulation making the models applicable for both moderately thick and thin plates. Numerical studies have been conducted for static and vibration analysis of concentrically and eccentrically stiffened plates to determine the efficacy of the proposed models. Vibration analysis has been carried out using four mass lumping schemes. The proposed QL9S1 model with consistent diagonal mass lumping scheme has been found to be more efficient than the QS8S1 model and the other models available in the literature for static and vibration analysis (in the higher frequency/modes range) of plates/shells with eccentric stiffeners.

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