一个带有连续弹,压电装置和反控制器的断片式系统的非线性振荡
M K Abohamer1, T S Amer2, A A Galal1
1Department of Engineering Physics and Mathematics, Faculty of Engineering, Tanta University, Tanta, 31734, Egypt.
Scientific reports
|April 26, 2025
概括
本研究分析了一种具有压电能收获的非线性机械系统. 负速度反控制器有效地减轻振动,提高系统效率,并展示了能源采集应用的潜力.
科学领域:
- 机械工程 机械工程
- 非线性动力学是一种非线性动力学.
- 收集能源 收集能源
背景情况:
- 具有非线性弹和压电装置的机械系统对于能量收集至关重要.
- 控制振动对于系统效率至关重要,尤其是在共振条件下.
- 微分-代数方程 (DAE) 模型复杂的动态系统.
研究的目的:
- 为了研究一个非线性机械系统的动态行为与压电能收获.
- 分析负速度反 (NVF) 控制器在减振方面的有效性.
- 为了探索系统的能量收集潜力.
主要方法:
- 使用拉格朗奇方程 (LE) 导出运动方程 (EOM).
- 应用多个尺度方法 (MSM) 对于近似解决方案 (AS).
- 使用Runge-Kutta第四阶 (RK-4) 算法进行验证的数值解决方案 (NS).
- 对共振条件的分析,分叉图和庞卡雷地图 (PMs) 的分析.
主要成果:
- 在NVF控制器显著减少振动,特别是在共振.
- 通过MSM获得的近似解决方案与数值解决方案有很好的一致性.
- 该系统展示了通过压电传感器收集能源的潜力.
结论:
- 开发的模型准确地描述了非线性系统的行为.
- NVF控制器有效地提高了系统的稳定性和效率.
- 零电能收获提供了一个可行的解决方案,为各种应用提供动力.
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