FAIRDO BG example 3.3.cellml

Bond graph example: An electromechanical system

The classic example of a coupled electromechanical system is an electrical circuit driving a voice coil (e.g., loudspeaker), as shown below. In this case we specify the input voltage (u^e_in) which produces an electrical current (v^e_R) flowing through a resistance R₁, an inductance L₁, and the voice coil (length l) to produce a time-varying magnetic field of flux density B (Js.C^− 1.m^− 2) which generates a ('Lorentz') force u^m₂ = Blv^e₁ and hence displacement q^m₂ (velocity v^m₂). The mechanical system also has a spring of compliance C₂, a viscous damper R₂, and an inertia L₂.

A coupled electromechanical system (a), and its bond graph representation (b). v^e₁ is an electrical current and u^e_in, u^e_R, u^e_L and u^e₁ are electrical potentials (voltages). v^m₂ is a mechanical velocity (displacement q^m₂) and u^m_C, u^m_R, u^m_L and u^m₂ are mechanical potentials (forces).

The Views Available menu to the right provides various options to explore this model here in the Physiome Model Repository. Of particular interest is the Launch with OpenCOR menu item, which will load the simulation experiment shown below directly into the OpenCOR desktop application.

Showing the result of launching the simulation experiment from this exposure in OpenCOR and executing the simulation.