Simultaneous vibration reduction and energy harvesting of a nonlinear oscillator using a nonlinear electromagnetic vibration absorber-inerter
Simultaneous vibration reduction and energy harvesting of a nonlinear oscillator using a nonlinear electromagnetic vibration absorber-inerter
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DOI：
10.1016/j.ymssp.2021.107607
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发表时间：
2021-07
影响因子：
8.4
通讯作者：
Paul Kakou;O. Barry
中科院分区：
文献类型：
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作者：
Paul Kakou;O. Barry
近年来，电磁谐振并联调谐质量阻尼器惯性器（ERS-TMDI）同时用于振动缓解和能量收集受到了相当大的关注。这种设计方法在线性结构中的应用已经很成熟，但是在非线性结构中还没有得到广泛的研究。这项工作，首次，旨在实现振动缓解和能量收集的非线性振动结构，使用一个单一的设备。为此，提出了一种新型的非线性电磁谐振并联调谐质量阻尼器-惯性器（NERS-TMDI），具有两种不同的配置。建议NERS-TMDI耦合到一个非线性振子通过线性和非线性弹簧。对于第一种配置，电磁和惯性装置在一侧接地并且在另一侧连接到非线性减振器。在第二配置中，电磁装置放置在非线性振动吸收器和主结构之间。采用谐波平衡法结合定弧长延拓法，对非线性运动控制方程进行了解析求解。分析方法进行了验证，使用数值模拟。对这两种配置进行了详细的参数分析，以确定使NERS-TMDI性能最佳的关键设计参数。结果表明，所提出的NERS-TMDI配置执行优于现有的方法，包括非线性调谐质量阻尼器（NTMD），和ERS-TMDI，在振动控制方面。结果还表明，第一配置的NERS-TMDI总是表现出更好的同时减振和能量收集比第二配置的NERS-TMDI。这意味着电磁传感器接地扩展了NERS-TMDI的有效性范围。此外，对最佳配置-1的灵敏度分析表明，NERS-TMDI对非线性刚度的变化是鲁棒的，但其性能会因惯性、电阻、电感和电容的变化而降低。此外，参数研究表明，较高的非线性刚度、惯性和电阻值以及较低的电感和电容值使得NERS-TMDI的配置-1的设计最佳，以用于能量收集。研究结果是非常有前途的，并打开了一个视野，未来的机会，以优化设计的NERS-TMDI的上级性能。
Recently, considerable attention has been given to electromagnetic resonant shunt tuned mass damper-inerters (ERS-TMDI) for simultaneous vibration mitigation and energy harvesting. The application of this design is already well-established for linear structures, however, it is not extensively explored for nonlinear structures. This work, for the first time, aims to achieve both vibration mitigation and energy harvesting for nonlinear oscillating structures using a single device. For this, a novel nonlinear electromagnetic resonant shunt tuned mass damper-inerter (NERS-TMDI) is proposed with two different configurations. The proposed NERS-TMDI is coupled to a nonlinear oscillator via linear and nonlinear springs. For the first configuration, the electromagnetic and the inerter devices are grounded on one side and connected to the nonlinear vibration absorber on the other side. In the second configuration, the electromagnetic device is placed between the nonlinear vibration absorber and the primary structure. The nonlinear governing equations of motion are solved analytically using the method of harmonic balance in conjunction with the fixed arc-length continuation method. The analytical approach is validated using numerical simulations. A detailed parametric analysis for both configurations is conducted to identify the key design parameters that render the best performance of the NERS-TMDI. The results show that the proposed NERS-TMDI configurations perform better than the existing approaches, including the nonlinear tuned mass damper (NTMD), and the ERS-TMDI, in terms of vibration control. The results also show that the first configuration of NERS-TMDI always performs better for simultaneous vibration mitigation and energy harvesting than the second configuration of NERS-TMDI. This implies that grounding the electromagnetic transducer extends the range of effectiveness of the NERS-TMDI. Further, a sensitivity analysis on the optimal Configuration-1 showed that the NERS-TMDI is robust to variations in nonlinear stiffness, but its performance degrades for variations in inertance, resistance, inductance, and capacitance. Additionally, a parametric study demonstrates that higher values of nonlinear stiffness, inertance, and resistance, and lower values of inductance and capacitance render an optimal design of the Configuration-1 of the NERS-TMDI for energy harvesting. The findings are very promising and open a horizon of future opportunities to optimize the design of the NERS-TMDI for superior performance.