On the Improvement of Vibration Mitigation and Energy Harvesting Using Electromagnetic Vibration Absorber-Inerter: Exact H2 Optimization

Abstract

Electromagnetic resonant shunt tuned mass damper-inerter (ERS-TMDI) has recently been developed for dual-functional vibration suppression and energy harvesting. However, energy harvesting and vibration mitigation are conflicting objectives, thus rendering the multi-objectives optimization problem a very challenging task. In this paper, we aim at solving the design trade-off between these two objectives by proposing alternative configurations and finding the model with the best performance for both vibration suppression and energy harvesting. Three novel configurations are presented and are compared with the conventional ERS-TMDI. In the first two configurations, the primary structure and the absorber are only coupled through the spring. Both inerter and electromagnetic devices are connected to the ground in the first configuration, whereas only the inerter is connected to the ground in the second configuration. The third configuration is inspired by the recently developed three-element vibration-inerter (TEVAI), but in this case an electromagnetic device is sandwiched in between the primary structure and the absorber. Closed-form expressions are presented for optimum vibration mitigation and energy harvesting performances using H2 criteria for both ground and force excitations. The obtained explicit expressions are validated using matlab optimization toolbox. Simulation examples reveal that the first configuration performs the best, whereas the second performs the worst in terms of both vibration mitigation and energy harvesting. It is also demonstrated that replacing the series RLC with a parallel circuit can improve or degrade the vibration mitigation performance, but it constantly enhances the energy harvesting performance in all four models.

An Inerter-Based Dynamic Vibration Absorber With Concurrently Enhanced Energy Harvesting and Motion Control Performances Under Broadband Stochastic Excitation Via Inertance Amplification

“…In the interim, it is deemed important to highlight that the simultaneous improvement of both vibration suppression capability and energy harvesting potential for resonant excitation g=1 as the inertance is let to increase is a unique attribute of the EH-TMDI configuration in Fig. 1(b), not shared by alternative inerter-based DVAs with energy generation capabilities studied in the literature (e.g., Marian and Giaralis 2017, Luo et al 2017, Joubaneh and Barry 2019, Petrini et al 2020). To highlight this fact, Fig.…”

“…Motion suppression is achieved by transferring kinetic energy from the primary structure to the secondary mass, which is eventually dissipated by the damping element. This is facilitated by tuning the TMD stiffness, for a given TMD In recent years, inerter components have been considered to improve the motion suppression performance of TMDs (e.g., Lazar et al 2014, Marian andGiaralis 2014) as well as to enhance the energy harvesting potential of EMs (e.g., Cassidy et al 2011, Green et al 2015) and of regenerative DVAs (e.g., Salvi and Giaralis 2016, Marian and Giaralis 2017, Joubaneh and Barry 2019. Theoretically, the ideal inerter is defined as a massless linear mechanical element which resists relative acceleration through a constant of proportionality, dubbed "inertance" and measured in mass units (kg) (Smith 2002).…”

“…Such rotational EMs find wide application in regenerative DVAs Zuo 2012, Shen et al 2018). Moreover, standalone inerter devices have been also considered to improve the vibration suppression and/or energy generation performances of regenerative DVAs as the introduced inertance increases (Salvi and Giaralis 2016, Marian and Giaralis 2017, Joubaneh and Barry 2019, Petrini et al 2020.…”

Parametric optimization of electromagnetic tuned inerter damper for structural vibration suppression

“…In their papers, the traditional viscous damping in the TMDI was replaced by an electromagnetic transducer shunted with a resonant circuit, and the analytical solution of the optimal design was derived, and its effectiveness was verified by the numerical analyses. Based on the original configuration of the electromagnetic resonant shunt TMDI, three novel configurations of it were proposed by Joubaneh and Barry 22 and compared with the classical one to find the configuration with the best performances in vibration mitigation and energy harvesting. In addition, based on the idea of the TVMD, Asai et al 23–25 proposed the tuned inertial mass electromagnetic transducer, consisting of a spring, an electromagnetic transducer, and an inerter developed by a ball screw mechanism, to enhance the energy‐harvesting performance of the electromagnetic transducer, and also investigated its potential in structural control for civil buildings.…”

Important considerations in optimising the structural aspect of a SDOF electromagnetic vibration energy harvester

“…Chiu et al [21] performed an analytical optimisation of a two-degree-of-freedom electromagnetic harvester by considering eight design parameters, which included both the electromagnetic and the structural parameters. On the other hand, Joubaneh and Barry [22] took a slightly different approach where they attempted to optimise the structural and electromagnetic aspect of an electromagnetic resonant shunt tuned mass damper-inerter, which acts as both an energy harvester and a vibration suppressor. In this case, it was important to consider the trade-off between the two conflicting functions and find a configuration that would maximise both performances.…”