Extended bond graph reticulation of magnetostrictive continua

Abstract

The extended bond graph (EBG) method is used to model the distributed coupled magnetoelastic effects of general magnetostrictive continua. The mechanical and magnetic fields are described in terms of defined displacement and momentum states, and Galerkin’s discretization technique is applied to reticulate the dynamics of the fields into power flows which are defined as the inner products of extended efforts and flows. The power-based EBG descriptions are consistently used to represent the discretized inertia, compliance, reluctance, coupled fields, and external sources of the magnetostrictive continua. The power bonds associated with the multienergetic fields are directed separately to the magnetic and mechanical energetic domains to enforce energy conservation laws. Details of the development of the general formulation for the model are provided. The EBG network model provides a unified way to analyze the coupling effects and dynamics of complex systems using general magnetostrictive continua.