Isogeometric based dynamic analysis of Bernoulli Euler curved beam subjected to moving load

Abstract

In this paper dynamic analysis of a curved Bernoulli – Euler beam subjected to a moving load is presented. Moving load is modelled as a single force with constant magnitude and direction, which moves along its trajectory. Plane curved Bernoulli – Euler beam element is formulated using isogeometric approach where both the displacement field and geometry of the beam are described using NURBS basis functions. Behavior of the beam element is defined and studied in the case of linear formulation where displacements and displacement gradients are assumed to be small. Validation of the proposed approach is presented for the plane curved beam subjected to moving load with constant velocity, magnitude and direction.