MAGNETOELASTIC BUCKLING AND POST-BUCKLING OF SIMPLY-SUPPORTED CONDUCTING ROD
载电流简支杆的磁弹性屈曲和过屈曲

The magnetoelastic buckling and post-buckling of a simply-supported conducting rod in a magnetic field are studied.The magnetic field is produced by currents flowing in a pair of infinitely long paraelle wires and the natural state of the rod is in the plane of the wires and equidistant from the two wires. Under the spatial deformation, the mathematical model of theproblem is derived,and the linearized equations are studied. It is shown that the buckled states of the rod are always in planar deformations. Secondly,the asymptotic expansions of the bifurcation solutions are given and its gobal properties are discussed. One can see that it is evident that the distance between the both wires and the direction of the currents affect the properties of the bifurcation solutions.