Magnetolectric Cantilever for Collocated Actuation and Sensing Applications: Experimental Study, Model and Scaling Laws

The magneto-electro-mechanical behavior of cantilevers is modeled with two novel applications in mind: micro-surgical ablation tools and larger actuators such as cutting tools for machining applications. By uniquely combining a energy based non-linear magnetostrictive model with Euler-Bernoulli structural model and a linear piezoelectric constitutive model, a modeling tool is developed to predict the deflections and electric responses of such cantilevers under different loading conditions and magnetic field. A reduced version of this model is validated with experimental data of a magnetostrictive cantilever in bending mode. Further a simple scaling law is developed to calculate the actuating forces that can be produced when the dimensions of the cantilever is changed.