Analysis and design of power and bandwidth of nonlinear vibration energy harvesters with hardening restoring forces
Analysis and design of power and bandwidth of nonlinear vibration energy harvesters with hardening restoring forces
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DOI：
10.1016/j.jsv.2023.117575
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发表时间：
2023-03
影响因子：
4.7
通讯作者：
A. Masuda
中科院分区：
文献类型：
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作者：
A. Masuda
本文为设计具有硬化腔的电磁非线性振动能量采集器的功率和带宽性能提供了理论基础。为此，研究了通过一阶近似导出的稳态解，建立了一种图形化方法，该方法可以清楚地了解如何根据激励幅度，非线性恢复力函数和其他设计参数确定频率-位移曲线上的共振峰值点。然后，引入了半功率带宽的广义形式——ν-功率带宽，并推导了其近似解析表达式。根据ν功率带宽参数研究的结果，提出了一种设计方案，该方案首先确定共振峰值点的位置，以保证在可能的激励变化下存在高能支路，然后确定线性固有频率，使ν功率带宽尽可能大。设计实例，假设一个特定类别的硬化非线性的恢复力，展示了如何提出的设计方案产生振动能量采集器与最大的功率带宽性能，同时结合给定的设计要求。
This paper presents a theoretical foundation for designing the power and bandwidth performance of an electromagnetic nonlinear vibration energy harvester with a hardening resonator. To this end, the steady-state solution derived via first-order approximation is investigated to establish a graphical approach, which gives a clear perspective on how the resonance peak point on the frequency–displacement curve is determined in terms of the excitation amplitude, nonlinear restoring force function, and other design parameters. Then, a ν-power bandwidth, a generalized version of the half-power bandwidth, is newly introduced and its approximate analytical formulation is derived. Based on the findings of the parameter study on the ν-power bandwidth, a design scheme is proposed, which begins with specifying the location of the resonance peak point that guarantees the existence of the high-energy branch under possible variations of the excitation, followed by determining the linear natural frequency that makes the ν-power bandwidth as large as reasonably possible. Design examples, assuming a specific class of hardening nonlinearity of the restoring force, are shown to demonstrate how the proposed design scheme yields vibration energy harvesters with maximized power bandwidth performance while incorporating given design requirements.