带有压电装置和反控制的2DOF动态系统的稳定性和分支分析
Taher A Bahnasy1, T S Amer2,3, M K Abohamer1
1Department of Physics and Engineering Mathematics, Faculty of Engineering, Tanta University, Tanta, 31734, Egypt.
Scientific reports
|November 3, 2024
概括
这项研究分析了带有压电装置的非线性和弹,展示了负速度反控制器如何减少振动. 这项研究探讨了复杂的系统行为和能量收集潜力.
科学领域:
- 非线性动力学是一种非线性动力学.
- 机械工程 机械工程
- 收集能源 收集能源
背景情况:
- 探讨了一个两度自由的动态系统,其中包括一个非线性和弹和一个压电装置.
- 检查参数激发和操作时刻对系统行为的影响.
- 强调需要在共振状态下减少振动以提高效率.
研究的目的:
- 为了展示一个复杂的非线性动态系统的行为.
- 分析负速度反 (NVF) 控制器在减轻不需要的振动方面的有效性.
- 为了探索集成到系统中的压电装置的能量收集能力.
主要方法:
- 使用拉格朗日方程推导运动方程 (EOM).
- 应用多个尺度策略 (MSS) 对于近似解决方案 (AS) 到第三顺序.
- 使用第四阶Runge-Kutta方法 (RK-4) 对AS与数值解 (NS) 的准确性进行验证.
主要成果:
- 对共振病例和可溶性条件的分析产生调制方程 (ME).
- 时间历史,频率响应,分叉图,卡雷地图和利亚普诺夫指数谱的图形表示.
- 评估带有和没有NVF控制的系统行为,包括稳定性分析和稳定状态解决方案.
结论:
- 该NVF控制器有效地减少了非线性动态系统中的振动.
- 集成的压电装置显示了能源采集应用的潜力.
- 该研究提供了对系统复杂动态和控制的全面见解.
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