Evaluation of dynamic characteristics of liquid sloshing in sloped bottom tanks

Abstract

Sloshing characteristics in partially filled slo-ped bottom container is investigated numerically. Galer-kin finite element method is used to derive the modal equation of motion for sloshing in 2D tank. The dynamic charcateristics of liquid sloshing in V-shaped bottom and the trapezoid tank are the critical investigations in the present work under the action of periodic ground motion. The liquid domain in V-shaped bottom and the trapezoid tank is discretized with a combination of three node triangular and four-node quadrilateral elements for this analysis. The reliability of the present numerical method is verified by comparing the results with the available analytical and experimental results for $$30^\circ $$ trapezoid tank and $$20^\circ $$ V-shaped bottom tank. Further, a parametric study on the V-shaped bottom and trapezoid tank is carried out to determine it’s dynamic behavior. The dynamic response of trapezoid tank under horizontal harmonic motion is manifested in terms of slosh wave displacement, base shear force at tank bottom and overturning base moment which remained limited for sloped bottom container.