STABILITY OF A MULTI-SPAN CURRENT CARRYING BEAM RESTING ON PERIODIC SUPPORTS AND EXPOSED TO AN EXTERNAL MAGNETIC FIELD

Abstract

The stability of a current carrying beam in an external magnetic field is studied in this paper. The beam is rested on periodic supports and is modelled as a Euler-Bernoulli elastic beam. Based on the linearized stability equation and propagator transfer matrix approach for a multi-span finite length beam the stability equation and solutions of the several boundary value problems are obtained. While the Floquet-Bloch theory is widely used in dynamic problem of phononic and photonic structures conditions, its application to the solution of infinite length beam static stability problem is novel. The stability values of the periodic infinite beam model are in very good agreement with the one of the finite length multi-span beams.