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稳定性和非线性水平振动的控制机制,用于带有陀螺仪前置效应的滚动系统
Chaofan Sun1,2, Wu Zhao3, Wei Liu4,5
1School of Intelligent Manufacturing and Electrical Engineering, Nanyang Normal University, Nanyang, 473061, China. sunchaofanxw@163.com.
Scientific reports
|November 27, 2025
概括
这项研究探讨了由陀螺仪前行引起的冷系统中的非线性振动. 建议采取主动控制策略,以稳定这些系统并改善条带质量.
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.
- 控制系统 控制系统
背景情况:
- 冷系统容易受到非线性水平振动的影响,影响带质量和运行稳定性.
- 陀螺仪前行效应是导致这些振动的关键因素,但尚未得到充分研究.
- 了解和减轻这些非线性动态对于精密制造至关重要.
研究的目的:
- 为了研究由陀螺仪前行引起的冷系统中的非线性水平振动.
- 开发和验证分析和数值方法来分析这些复杂的动态.
- 提出主动控制策略,以稳定冷系统并实现振幅死亡.
主要方法:
- 基于d'Alembert原则,开发一种非线性动态模型,结合轴向激发和工作卷弹性.
- 使用多尺度方法和实验验证的初级参数共振分析.
- 应用同位素分析方法来追踪能量轨道和识别分叉现象.
- 使用细胞映射技术验证非线性特征和能量多重变换.
- 积极控制策略的设计,以在特定参数约束范围内诱导振幅死亡.
主要成果:
- 该研究成功建模和分析了非线性水平振动,确定了关键的共振现象.
- 通过能量轨道分析观察并解释了分叉和跳跃现象.
- 一个魔鬼楼梯图案表明了多个频率锁定区域,通过细胞映射验证.
- 积极控制策略的设计是为了在系统中实现振幅死亡.
- 实验验证证证实了参数共振的分析预测.
结论:
- 这项研究为冷系统中的共振机制提供了全面的理解.
- 这些发现为实施非线性控制策略以提高系统稳定性提供了理论基础.
- 开发的方法和控制策略对于提高冷过程中的带质量和精度具有实际意义.
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