Dr. Patrick Dorin Profile

Dr. Patrick Dorin

at Univ of Michigan

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Proceedings Article | 22 April 2020 Presentation + Paper

Reconfigurable elastic quantum valley Hall edge states in a piezoelectric topological metamaterial

Patrick Dorin, K. W. Wang

Proceedings Volume 11381, 1138117 (2020) https://doi.org/10.1117/12.2556854

KEYWORDS: Metamaterials, Electrodes, Waveguides, Inductance, Analog electronics, Capacitors, Composites, Wave propagation, Quantum electronics, Solids, Electromechanical design

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Unlike conventional elastic waveguides, topologically protected wave transmission in topological metamaterials is immune to backscattering and localization from lattice imperfections and sharp corners. Topologically protected waveguides can be formed by breaking space inversion symmetry within the unit cell of a hexagonal lattice, creating an elastic realization of the quantum valley Hall effect. Recent studies have demonstrated the achievement of tunable topological edge states through the application of an external bias, such as a mechanical, thermal, or magnetic load. These initial studies demonstrate the capability to modify topological edge states through oftentimes complex realizations of truss-like lattice structures or external stimuli. However, a comprehensive reconfigurable topological metamaterial that enables real-time adaptation of both frequency and spatial characteristics of topological properties in an easily integrable manner has yet to be developed. Thus, to advance the state of the art, this research introduces an electromechanical metamaterial with the capability to adjust the frequency range for topological edge states and instantaneously create or eliminate topological interfaces through the integration of piezoelectric circuitry with a continuous mechanical substrate. The metamaterial is comprised of inductor circuitry connected to a thin piezoelectric plate in a periodic manner which produces a hexagonal lattice pattern of electromechanical resonators. The plane wave expansion method is used to reveal a tunable Dirac cone in the band structure of the lattice unit cell and indicate how perturbations to the circuit inductance can open topologically distinct bandgaps. Numerical simulations identify edge modes located at frequencies within the topological bandgap and demonstrate adaptive topologically protected elastic wave transmission.

Proceedings Article | 21 March 2019 Presentation + Paper

Vibration energy harvesting system with coupled bistable modules

Patrick Dorin, Jinki Kim, K. W. Wang

Proceedings Volume 10967, 109670G (2019) https://doi.org/10.1117/12.2513933

KEYWORDS: Energy harvesting, Complex systems, Magnetism, Bistability, Mathematical modeling, Numerical simulations, Transducers, Solids, Mechanical engineering, Environmental monitoring, Nonlinear dynamics

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Bistable vibration energy harvesters have been used to achieve strong energy harvesting performance over a wide frequency bandwidth. Performance of bistable energy harvesters is dependent on whether the external excitation is large enough to surpass the minimum threshold to high energy, or ‘snap through’ oscillations. Studies have indicated that lowering the potential energy barrier via an auxiliary unit is an effective way to ensure that high energy orbits are achieved. Recent advancements have shown that directly extracting energy from an auxiliary unit used to dynamically lower the potential barrier of a bistable energy harvester can enhance performance. However, there remains an unexplored opportunity for further improvement by incorporating nonlinearity into the auxiliary harvesting element. Thus, to advance the state of the art, this research introduces an energy harvesting system composed of a bistable cantilever harvester magnetically coupled to an auxiliary nonlinear harvesting element. An analysis of the system potential energy indicates that the additional nonlinear characteristics of the coupled harvesting element can enable tailoring of the potential energy profile such that quad-stability, or multi-directional bistability, can be achieved. Investigation of the quasi-static potential energy trajectory of the proposed device indicates that the number of stable states, height of the potential energy barrier, and snap through amplitude may all be tailored through consideration of the effective linear stiffness of the nonlinear harvesting unit. Numerical simulations of the system dynamics indicate that the additional nonlinearity incorporated into the coupled system improves broadband harvesting performance.

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