THE INFLUENCE OF HELMHOLTZ AND GOLAY COIL HOMOGENITY ON RECTANGULAR PLATE BENDING

Abstract

The subject of the paper is a rectangular plate. The structure of the plate is symmetrical. The plate is made of a cellular structure of a core and two external faces. There is ferrofluid in each cell of the porous core. The core is made of polyethylene foam and two faces are polyurethane sheets. It is assumed that cells in the core are regular and dense and the faces are thin, therefore, a plate filled in with ferrofluid can be treated as homogeneous. The plate is placed in the magnetic field. The magnetic field is generated by two systems of coils – the Helmholtz coil (HC) and the Golay coil (GC). The former generates an almost fixed magnetic field in the considered volume (where the plate is placed), and the latter generates a gradient magnetic field. The changing size of each subsystem of magnetic field coils, the distribution and strength of the magnetic field change as well. The magnetic field induces loads in the plate, both perpendicular and in plane. The plate bending function is approximated by the bicubic spline function presented by normalized B-spline functions. The influence of changes in the homogeneity volume and the magnetic field strength (by changing the coil size) on the plate bending is analyzed in the paper. The results of the analysis are presented in tables and figures.