In this study, a novel device for both vibration reduction and energy harvesting has been developed by merging an Euler-buckled beam nonlinear energy sink and a piezoelectric energy harvester (PEBNES). To assess the output voltage and power from the PEBNES, a simplified standard energy harvesting (SEH) circuit based upon the equivalent impedance method (EIM) is proposed. The approximate steady-state solutions of such electromechanical coupled system, which are verified through numerical calculation method, are derived by using the complexification-averaging (CX-A) method. Based on the calculation results, it can be found that the PEBNES exhibits desired vibration reduction and energy harvesting (EH) functions over a wide frequency band. Additionally, in order to reduce the primary system’s response amplitude and boost harvesting voltage, a multi-objective optimization according to the non-dominated sorting genetic algorithm-Ⅱ (NSGA-Ⅱ) is used to optimize the design parameters of PEBNES. For these optimized parameters, the vibration mitigation performance of PEBNES on the main vibration system is not only improved by 54.82%, but the energy harvesting capacity, including open voltage and collected power, are increased by 68.67% and 62.73%. Compared with the traditional linear vibration absorber (TLVA) and the Euler-buckled beam nonlinear energy sink (EBNES), the PEBNES exhibits better vibration reduction performance and wider operating frequency band. In experiments, the effectiveness of the theoretical model and the calculation results have been proved, providing an innovative solution for broadband vibration control and energy harvesting in real-world applications.

中文翻译：

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欧拉屈曲梁结合压电能量收集器的非线性吸能优化


在这项研究中，通过合并欧拉屈曲梁非线性能量吸收器和压电能量收集器（PEBNES），开发了一种用于减振和能量收集的新型装置。为了评估 PEBNES 的输出电压和功率，提出了一种基于等效阻抗法 (EIM) 的简化标准能量收集 (SEH) 电路。利用复杂化平均（CX-A）方法推导了该机电耦合系统的近似稳态解，并通过数值计算方法进行了验证。根据计算结果可以发现，PEBNES在较宽的频带内表现出所需的减振和能量收集（EH）功能。此外，为了降低一次系统的响应幅度，提高采集电压，采用基于非支配排序遗传算法-Ⅱ（NSGA-Ⅱ）的多目标优化来优化PEBNES的设计参数。通过这些优化参数，PEBNES对主振动系统的减振性能不仅提高了54.82%，而且能量收集能力（包括开路电压和收集功率）分别提高了68.67%和62.73%。与传统的线性减振器（TLVA）和欧拉屈曲梁非线性吸能器（EBNES）相比，PEBNES表现出更好的减振性能和更宽的工作频段。实验证明了理论模型和计算结果的有效性，为实际应用中的宽带振动控制和能量收集提供了创新的解决方案。