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

Abstract

This paper examines the performance of a regenerative dynamic vibration absorber, dubbed energy harvesting-enabled tuned mass-damper-inerter (EH-TMDI), for vibration suppression and energy harvesting in white noise excited damped linear primary structures. Single-degree-of-freedom (SDOF) structures under force and base excitations are studied as well as multi-degree-of-freedom (MDOF) structures under correlated random forces. The EH-TMDI includes an electromagnetic motor (EM), behaving as a shunt damper, sandwiched between a secondary mass and an inerter element connected in series. The latter element resists relative acceleration through a constant termed inertance which is readily scalable in actual inerter devices. In this regard, attention is herein focused on gauging the available energy for harvesting by the EM and the displacement variance of the primary structure as the inertance increases through comprehensive parametric investigations. This is supported by adopting inertance-dependent tuning formulae for the EH-TMDI stiffness and damping properties and closed-form expressions for the response of white-noise excited EH-TMDI-equipped SDOF and MDOF systems derived through random vibration theory. It is found that lightweight EH-TMDIs, having 1% the mass of the primary structure, achieve simultaneously improved vibration suppression and energy harvesting performance as inertance amplifies. For SDOF structures with grounded inerter, the improvement rate is higher for reduced inherent structural damping and increased EM shunt damping. For MDOF structures with non-grounded inerter, improvement rate is higher as the primary structure flexibility between the two EH-TMDI attachment points increases.

Optimal tuning and assessment of non-grounded regenerative tuned mass damper inerter (RE-TMDI) configurations for concurrent motion control and energy harvesting

“…1c. Specifically, the potential of RE-TMDI configuration (C1) has been parametrically studied by Salvi and Giaralis [21] and Giaralis [22] without considering any rigorous optimal tuning criterion. Similarly, the concurrent efficacy for motion control and energy harvesting of the RE-TMDI configuration (C2) has been assessed by Marian and Giaralis [23] (with grounded inerter connection) and by Petrini et al [16] (nongrounded inerter connection) without optimizing for energy harvesting maximization.…”

Impact response analysis of vibration system with inerter

“…The potential of regenerative inerter-based DVA was numerically assessed by Giaralis. 23 Alujević et al 24 proposed an inerter-based active vibration isolation system for structural application. Although much research relating to the application of the inerter for suppressing the harmonically and randomly excited vibration system has been conducted, little study has been performed regarding the application of the inerter for shock or impact vibration problems.…”

Feasibility Study of Actively-Controlled Tuned Inertial Mass Electromagnetic Transducers for Seismic Protection

“…For example, the electromagnetic inertial mass damper (EIMD) [18,19] have been proposed for the IMD , the energy harvesting-enabled tuned massdamper-inerter (EH-TMDI) [20,21] for the TMDI, and the electromagnetic tuned inerter damper (E-TID) [22] for the TID. The first author also has proposed the tuned inertial mass electromagnetic transducer (TIMET) [23,24] as well.…”