A displacement finite volume formulation for the static and dynamic analyses of shear deformable circular curved beams

Abstract

In this paper, a finite volume formulation is proposed for static and in-plane vibration analysis of curved beams in which the axis extensibility, shear deformation, and rotary inertia are considered. A curved cell with 3 degrees of freedom is used in discretization. The unknowns and their derivatives on cell faces are approximated either by assuming a linear variation of unknowns between the 2 consecutive computational points or by using the Moving Least Squares technique (MLS). The proposed method is validated through a series of benchmark comparisons where its capability in accurate predictions without shear and membrane locking deficiencies is revealed.