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Abstract: Actuators, sensors and structural units utilizing magnetic, ferroelectric or shape
memory alloy components are increasingly considered for present and emerging
aerospace, aeronautic, industrial, automotive and biomedical applications. Examples
include the use of macro-fiber composites (MFC) for flow control, magnetic transducers
for high-speed milling, and shape memory alloys for laser ablation treatments of atrial fibrillation.
Whereas these materials provide unique design and control capabilities, they also exhibit
hysteresis and constitutive nonlinearities that must be incorporated in models in
a manner that facilitates real-time implementation. In this presentation, we will
discuss the homogenized energy model which provides a unified framework for
characterizing hysteresis and nonlinearities intrinsic to these materials. In the first
step of the development, energy analysis at the lattice level is used to quantify
the metastability and kinetics associated with hysteresis and creep within a single
grain. Stochastic homogenization techniques are then used to construct
macroscopic and system models that are appropriate for design and control
implementation. The discussion will include data-driven and statistical
techniques to estimate model parameters and quantify uncertainty in the
parameters and models as well as certain model-based control results.
Host: Bassam Bamieh