This paper investigates a nonlinear piezoelectric energy harvesting system that enhances conversion of mechanical energy to electrical energy by integrating piezoelectric materials with a nonlinear system. The research simplifies a flexible beam with macro fiber composite (MFC) piezoelectric patches using a lumped-parameter approach and derives the dynamic equations of the system using the Lagrange equations. The incremental harmonic balance method (IHBM) is then employed to solve these equations, simulating the nonlinear dynamics involved in the harvested voltage. Key findings include the initial discovery of multiple voltage islands which are voltage jumps that improve energy conversion efficiency, confirmed by experimental data validating the IHBM simulations. The study reveals that these phenomena are due to the enhanced nonlinearities of the system, particularly the geometric nonlinearity caused by the spring and the nonlinear magnetic force between magnets. Adjusting allows the observation of multiple voltage islands, and increasing results in a broad-frequency constant voltage, offering new insights. The research concludes that the nonlinear piezoelectric energy harvester can effectively convert vibration energy into electrical one, as demonstrated by successfully powering multiple light-emitting diodes (LEDs). Bifurcation diagrams illustrate the adaptability of the system, showing transitions among periodic, quasi-periodic, and chaotic states for different parameters.

中文翻译：

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通过增强非线性改进能量收集：新现象和实验演示


本文研究了一种非线性压电能量收集系统，该系统通过将压电材料与非线性系统集成来增强机械能到电能的转换。该研究使用集总参数方法简化了带有宏纤维复合材料 (MFC) 压电贴片的柔性梁，并使用拉格朗日方程导出了系统的动态方程。然后采用增量谐波平衡法 (IHBM) 来求解这些方程，模拟所采集电压中涉及的非线性动态。主要发现包括初步发现多个电压岛，这些电压岛是提高能量转换效率的电压跳变，验证 IHBM 模拟的实验数据证实了这一点。研究表明，这些现象是由于系统非线性增强造成的，特别是弹簧引起的几何非线性和磁体之间的非线性磁力。通过调整可以观察多个电压岛，并增加宽频恒定电压的结果，从而提供新的见解。研究得出结论，非线性压电能量收集器可以有效地将振动能转化为电能，成功为多个发光二极管 (LED) 供电就证明了这一点。分岔图说明了系统的适应性，显示了不同参数的周期、准周期和混沌状态之间的转变。