Prof. Wei-Che Tai Profile

Prof. Wei-Che Tai

at Michigan State Univ

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Proceedings Article | 22 April 2020 Paper

Broadening band gaps in an electromechanical metamaterial rod by resonant electromagnetic shunt and inter-resonator coupling

Wei-Che Tai, Chaitanya Nimmagadda, Janice Tardiff

Proceedings Volume 11377, 113770H (2020) https://doi.org/10.1117/12.2556450

KEYWORDS: Resonators, Transmittance, Metamaterials, Signal attenuation, Electromagnetism, Resistance, Transducers, Electromagnetic coupling, Wave propagation, Vibration isolation

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Band gaps that lead to attenuation of vibration propagation characterize locally resonant metamaterials. However, the band gaps rely on heavy resonators. In this work, we propose an electromechanical metamaterial rod that consists of an elastic rod with periodically attached electromagnetic resonators each composed of a cantilever beam and a magnetic. The magnets of multiple resonators are shunted by a resonant circuit and the stiffness of these resonators can be different. The attenuation constant surface (ACS) plots show that for unit cells of different mechanical resonators and unit cells of identical electromagnetic resonators, multiple band gap coupling phenomena can occur due to multiple local-resonance band gaps and the Bragg-type band gap coalescing, thereby forming a unified band gap much wider than a local-resonance band gap. Furthermore, the transmittance of the finite rod shows that several narrow pass bands can occur due to the slow convergence to the infinite rod. It also shows that the presence of electrical resistance suppresses the narrow pass bands. Consequently, the proposed metamaterial rod can achieve attenuation of vibration propagation in a broader frequency range than conventional metamaterial rods consisting of identical resonators.

Proceedings Article | 27 March 2019 Paper

Performance enhancement of a base-isolation structure using optimal tuned inerter dampers

Feng Qian, Yifan Luo, Hongxin Sun, Wei Che Tai, Lei Zuo

Proceedings Volume 10967, 1096715 (2019) https://doi.org/10.1117/12.2514380

KEYWORDS: Earthquakes, Control systems, Systems modeling, Electromagnetism, Mechanical engineering, Vibration control, Optimization (mathematics)

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The traditional base-isolated system is vulnerable to long-period ground motions, which usually result in a large displacement concentration at the isolated floor due to the resonant effect. To address this issue, two types of base isolation systems with tuned inerter dampers (TID) composed of a spring, an inerter and a dashpot in serial or parallel, are proposed and evaluated in this paper. The design parameters of the two TID isolation systems are optimized using the H2 norm criteria to achieve the best RMS vibration performance under stochastic excitation. The TID frequency ratio and damping ratio are defined as the design parameters, whose optimal values are analytically derived for the undamped primary system and numerically verified. The results show that the optimum exists for isolation system with serial TID (inerter and dashpot in serious), while in the parallel TID isolation system large TID stiffness and large TID damping are preferred in practice. The parallel TID system cannot be tuned optimally for practical structures, nevertheless, it still achieves a better isolation performance than the optimal serial system by an appropriate selection of the design parameters. The influence of the structural parameters on the optimal design parameters are studied. Case studies are conducted in comparison with the traditional isolation system for a laboratory prototype of a five-story building. The proposed optimal serial TID isolation system has 59% more reduction in the RMS relative displacement between the superstructure and base and 58% in the RMS response of the base vibration under the far-fault earthquake. And 52% and 56% more reductions in the RMS relative displacement and the base vibration are respectively achieved under the near-fault earthquake. The potential power in the TID isolations in earthquakes are also examined.

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