DYNAMICS OF A THREE-DIMENSIONAL OVERHEAD CRANE SYSTEM

An overhead crane, modelled as a point mass carriage traversing a simply supported Euler–Bernoulli beam that is allowed to travel in a direction perpendicular to its span, is considered. The point mass payload is attached to the carriage via a massless beam and is allowed both in-plane and out-of-plane motion. The Rayleigh–Ritz solution technique is used to obtain the equations of motion of the system. The influence of traverse and travel motions, pendulum length and payload mass on the pendulum motion are investigated.