Converse, M. C. | Engineering Papers

DOE OSTI2021

Vibrational Energy Harvesting Using a Cantilever Model

Vibrational energy harvesting (VEH) is a method of capturing incidental mechanical vibrational energy and converting it to electrical energy. This is enabled by two technologies: Electromagnetic induction via a cantilever or piezoelectric devices. When designing a VEH system, a fast forward model is desired for response determination and optimal parameter estimation. An ordinary different equation (ODE) system model is developed for the cantilever system based upon the derivations of [1] and [2], and compared with a full electromechanical COMSOL model.

42 ENGINEERING↗

DOE OSTI2021

Vibration-Based Sensor Design: A Grey-Box Approach

Knowledge of the internal structure of an object or device under investigation proceeds from the basic idea of constructing its dynamic behavioral relations governed by a set of differential/algebraic equations that characterize its response. These equations can be partial differential equations leading to finite element or finite difference relations requiring a complex numerical solution on a super computer or ordinary differential equations requiring sophisticated numerical integration techniques to obtain the desired solution. Discrete dynamic systems evolving from digitized data acquisition are typically captured by sampled-data (continuous-to-discrete) representations characterized by a set of difference equations specifying the underlying system dynamics. In any case, with a mathematical description in hand, Grey-Box modeling techniques have evolved, concerned with the estimation of model parameters embedded in a prescribed set of equations (the system) governing its behavior, while capturing the underlying physical phenomenology of the problem at hand.

97 MATHEMATICS AND COMPUTING↗