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.