An efficient isogeometric beam formulation for analysis of 2D non-prismatic beams

This study presents an efficient beam formulation for static and vibration analysis of 2D non-prismatic beams with the kinematic assumptions Timoshenko theory. Beams having complex configurations can be straightforwardly constructed by using B-spline basis functions, which are used descriptions axis sectional height. feature enables free-form strong curvatures to performed conveniently accurately, is not virtually found in any existing formulations that related beams. The concept isogeometric adopted discretizing unknowns, i.e., translational displacements rotation, functions. A procedure recovery stress components also presented. accuracy performance developed approach assessed through several numerical examples cover types beam, e.g., sinusoidal tapered Tschirnhausen's representing Furthermore, convergence tests demonstrate properties proposed formulation.