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

2019 ◽  
Vol 141 (6) ◽  
Author(s):  
Eshagh Farzaneh Joubaneh ◽  
Oumar Rafiou Barry

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.

Author(s):  
Paul Kakou ◽  
Oumar Barry

Abstract Considerable attention has been recently given to electromagnetic resonant shunt tuned mass damper-inerter (EH-TMDI) for simultaneous vibration mitigation and energy harvesting. However, only linear structures have been investigated. Hence, in this paper, we aim at simultaneously achieving vibration mitigation and energy harvesting for nonlinear oscillators. To do so, we attach a nonlinear electromagnetic resonant shunt tuned mass damper-inerter (NEH-TMDI) to a single degree of freedom nonlinear oscillator (Duffing Oscillator). The nonlinear oscillator is coupled to the tuned mass damper via a linear and a nonlinear spring. Both the electromagnetic and the inerter devices are grounded on one side and connected to the nonlinear vibration absorber on the other side. This is done so to relax the trade off between energy harvesting and vibration suppression. The electromagnetic transducer is shunted to a resistor-inductor circuit. The governing equations of motion are derived using Newton’s method. Numerical simulations are carried out to examine the performance of the proposed NEH-TMDI. Comprehensive parametric analyses are conducted to identify the key design parameters that render the best performance of the NEH-TMDI. The results show that selected parameters offer regions were maximum energy dissipated and maximum energy harvested coincide. The findings are very promising and open a horizon of future opportunities to optimize the design of the NEH-TMDI for superior performance.


2016 ◽  
Vol 138 (6) ◽  
Author(s):  
Yilun Liu ◽  
Chi-Chang Lin ◽  
Jason Parker ◽  
Lei Zuo

Energy-harvesting series electromagnetic-tuned mass dampers (EMTMDs) have been recently proposed for dual-functional energy harvesting and robust vibration control by integrating the tuned mass damper (TMD) and electromagnetic shunted resonant damping. In this paper, we derive ready-to-use analytical tuning laws for the energy-harvesting series EMTMD system when the primary structure is subjected to force or ground excitations. Both vibration mitigation and energy-harvesting performances are optimized using H2 criteria to minimize root-mean-square (RMS) values of the deformation of the primary structure or maximize the average harvestable power. These analytical tuning laws can easily guide the design of series EMTMDs under various external excitations. Later, extensive numerical analysis is presented to show the effectiveness of the series EMTMDs. The numerical analysis shows that the series EMTMD more effectively mitigates the vibration of the primary structure nearly across the whole frequency spectrum, compared to that of classic TMDs. Simultaneously, the series EMTMD can better harvest energy due to its broader bandwidth effect. Beyond simulations, this paper also experimentally verifies the effectiveness of the series EMTMDs in both vibration mitigation and energy harvesting.


Author(s):  
Lei Zuo ◽  
Wen Cui

This paper proposes a novel approach for dual-functional energy harvesting and vibration control by integrating the tuned mass damper (TMD) and electromagnetic shunted resonant damping. The viscous dissipative element between the TMD and primary system is replaced by an electromagnetic transducer shunted with a resonant RLC circuit. An efficient gradient based method is presented for the parameter optimization in the control framework for vibration suppression and energy harvesting. A case study is performed based on the Taipei 101 TMD. It is founded that by tuning the TMD resonance and circuit resonance close to that of the primary structure, the electromagnetic resonant shunt TMD achieves the enhanced effectiveness and robustness of double-mass series TMDs, without suffering from the significantly amplified motion stroke. It is also observed that the parameters and performance optimized for vibration suppression are close to those optimized for energy harvesting, and the performances are not sensitive to the resistance of the charging circuit or electrical load.


2013 ◽  
Vol 135 (5) ◽  
Author(s):  
Lei Zuo ◽  
Wen Cui

This paper proposes a novel retrofittable approach for dual-functional energy-harvesting and robust vibration control by integrating the tuned mass damper (TMD) and electromagnetic shunted resonant damping. The viscous dissipative element between the TMD and primary system is replaced by an electromagnetic transducer shunted with a resonant RLC circuit. An efficient gradient based numeric method is presented for the parameter optimization in the control framework for vibration suppression and energy harvesting. A case study is performed based on the Taipei 101 TMD. It is found that by tuning the TMD resonance and circuit resonance close to that of the primary structure, the electromagnetic resonant-shunt TMD achieves the enhanced effectiveness and robustness of double-mass series TMDs, without suffering from the significantly amplified motion stroke. It is also observed that the parameters and performances optimized for vibration suppression are close to those optimized for energy harvesting, and the performance is not sensitive to the resistance of the charging circuit or electrical load.


Author(s):  
Shilong Li ◽  
J. Tang

Particle damping has the promising potential for attenuating the unwanted vibrations in harsh environment. However, the damping performance of the conventional particle damper (PD) may be ineffective, especially when the acceleration of the particle damper is less than gravitational acceleration (1g). In order to improve the damping performance of the traditional PD, the tuned mass particle damper (TMPD) which utilizes the advantages of both the tuned mass damper and particle damper is investigated in this paper. The TMPD can act as the tuned mass damper to not only absorb the vibration of the primary structure but also amplify the motions of the particles in the enclosure, which will significantly enhance the particle damping effect. To analyze the damping effect of the TMPD, a new coupling method to integrate the TMPD into the continuous host structure is first developed. The 3D discrete element method is then adopted to accurately describe and analyze the motion of particles in the enclosure. Furthermore, the analysis is validated by correlating the numerical and experimental results. With the new method as basis, detailed numerical studies are further carried out to verify the damping effectiveness of the TMPD compared with conventional PD under various excitation levels. The results demonstrate that the TMPD can significantly improve the damping effect of the conventional PD on suppressing the vibration of the primary structure under both the low and high excitation levels.


2017 ◽  
Vol 2017 ◽  
pp. 1-13 ◽  
Author(s):  
Yifan Luo ◽  
Hongxin Sun ◽  
Xiuyong Wang ◽  
Lei Zuo ◽  
Ning Chen

This paper proposes a novel inerter-based dynamic vibration absorber, namely, electromagnetic resonant shunt tuned mass-damper-inerter (ERS-TMDI). To obtain the performances of the ERS-TMDI, the combined ERS-TMDI and a single degree of freedom system are introduced. H2 criteria performances of the ERS-TMDI are introduced in comparison with the classical tuned mass-damper (TMD), the electromagnetic resonant shunt series TMDs (ERS-TMDs), and series-type double-mass TMDs with the aim to minimize structure damage and simultaneously harvest energy under random wind excitation. The closed form solutions, including the mechanical tuning ratio, the electrical damping ratio, the electrical tuning ratio, and the electromagnetic mechanical coupling coefficient, are obtained. It is shown that the ERS-TMDI is superior to the classical TMD, ERS-TMDs, and series-type double-mass TMDs systems for protection from structure damage. Meanwhile, in the time domain, a case study of Taipei 101 tower is presented to demonstrate the dual functions of vibration suppression and energy harvesting based on the simulation fluctuating wind series, which is generated by the inverse fast Fourier transform method. The effectiveness and robustness of ERS-TMDI in the frequency and time domain are illustrated.


Author(s):  
Agathoklis Giaralis

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.


Author(s):  
Yifan Luo ◽  
Hongxin Sun ◽  
Xiuyong Wang ◽  
Anhua Chen ◽  
Lei Zuo

Abstract In order to improve the performance of the tuned mass damper (TMD) with a smaller physical mass for machining vibration suppression and energy harvesting, a dual-functional inerter-based damper, called electromagnetic tuned inerter damper (ETID), is proposed. To evaluate the performance of the ETID, the model of coupled ETID and a single degree of freedom (SDOF) system has been established. The H2 optimal design of the ETID-SDOF system has been conducted, whose goal is to minimize the value of the root mean square (RMS) of the displacement and absolute acceleration of the SDOF system. The analytical solutions of the design parameters of the ETID-SDOF system, namely, frequency ratio and damping ratio, have been derived. The control performance and robustness for the undamped SDOF system with ETID have been evaluated via parametric study compared with the undamped SDOF system with the TMD system. The potential other layouts of the ETID are also discussed. The influence of the structural damping on design parameters and performance has also been investigated.


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