Seismic control of a SDOF structure through electromagnetic resonant shunt tuned mass-damper-inerter and the exact H2 optimal solutions

Abstract

Abstract. This paper proposes a novel inerter-based component dynamic vibration absorber, namely, electromagnetic resonant shunt tuned mass-damper-inerter (ERS-TMDI). To analyze the performances of the ERS-TMDI, the combined ERS-TMDI and a single degree of freedom system are developed. The norm performances of the ERS-TMDI, whose aim is to minimize the root mean square (RMS) value of structure damage under random ground acceleration excitation, are introduced in comparison with the energy-harvesting series electromagnetic tuned mass dampers (ERS-TMDs), tuned mass-damper-inerter (TMDI) and the classical tuned mass damper (TMD). The closed-form solutions, including the optimal mechanical tuning ratio, the optimal electrical damping ratio, the optimal electrical tuning ratio and the optimal electromagnetic mechanical coupling coefficient, are obtained. It is shown that the ERS-TMDI is superior to both the classical TMD and the ERS-TMD systems for protection from structure damage. Specifically, from the frequency-domain analyses, a case study is performed to illustrate the effectiveness, robustness of the ERS-TMDI and the sensitivity to the parameter changes. From the time-domain analyses, four types of earthquakes are studied to demonstrate the performances of vibration suppression.

A nonlinear analysis of a Duffing oscillator with a nonlinear electromagnetic vibration absorber–inerter for concurrent vibration mitigation and energy harvesting

“…The benefit of having an electromagnetic device for SDs is that it enables energy harvesting for given circuit parameters. Tuned SD, for both vibration control and energy harvesting, further led to the development of electromagnetic resonant shunt-tuned mass dampers (ERS-TMD) [39] and, more recently, electromagnetic resonant shunt-tuned mass damper with inerters (ERS-TMDI) [40,41] to further take advantage of the inerter devices. The latest development in an ERS-TMDI is the improved design of the conventional ERS-TMDI by Joubaneh and Barry [42] for linear oscillators, which optimized simultaneous vibration control and energy harvesting.…”

Dual-Functional Energy Harvesting and Low-Frequency Vibration Attenuation: Electromagnetic Resonant Shunt Series Quasi-Zero-Stiffness Isolators

“…Furthermore, the vibrational energy initially dissipated by the damping element can be effectively transformed into electrical energy through the utilization of electromagnetic equipment. In pursuit of this objective, researchers have proposed the concept of electromagnetic-resonant-shunt-tuned mass dampers (ERS-TMD) [42] as well as electromagnetic-resonant-shunt-tuned mass dampers with inerters (ERS-TMDI) [43][44][45]. For further information on low-frequency vibration energy harvesting, a comprehensive review by Sun [46] provides additional insights and reports in this field.…”

Umerical Evaluation of the Effect of Combined Pendulum Tuned Mass Damper on a Basic Vibrating System

“…Zuo, et al [24], Luo, et al [11] Investigated Electromagnetic Resonant Shunt Tuned Mass-Damper-Inerter (ERS-TMDI) scheme that comprises of a supplementary mass, a spiral stiff spring, an inertance bloc, as well as an electromagnetic paralleled RLC. The analysis of frequency-domain reveals that the ERS-TMDI can improve the effectiveness of tectonic controller by tuning all the following: the bloc resonances, the electrical resonator, and the inertance, compared to the conventional TMD, where the tuning is done to the mechanical resonance only.…”