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 ispresented. Moving load is modelled as a single force with constant magnitude and direction, whichmoves along its trajectory. Plane curved Bernoulli – Euler beam element is formulated usingisogeometric approach where both the displacement field and geometry of the beam are describedusing NURBS basis functions. Behavior of the beam element is defined and studied in the case oflinear 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 movingload with constant velocity, magnitude and direction.