延迟反控制和多元稳定的参数延续在一个不光滑的液压岩石钻机模型中
Siyuan Chang1, Wei Ma2, Min Ye1
1Key Laboratory of Road Construction Technology and Equipment of MOE, Chang 'an University, Xi'an, Shaanxi 710064, China.
Chaos (Woodbury, N.Y.)
|June 17, 2025
概括
这项研究使用干摩擦理论来模拟液压岩石钻孔多稳定性. 延迟反控制成功地统一了复杂的吸引力,提高了钻探效率和实验中的稳定性.
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.
- 岩石机械学 岩石机械学
背景情况:
- 液压岩石钻机在运行过程中表现出复杂的多稳定行为.
- 了解和控制这种多稳定性对于提高钻井效率和稳定性至关重要.
- 现有的模型可能无法完全捕捉所涉及的非线性动态.
研究的目的:
- 建立液压岩石钻机多稳定性的物理模型.
- 调查延迟反控制用于管理多态稳定性的使用.
- 分析影响系统行为的参数域和分叉现象.
主要方法:
- 开发了一个基于干摩擦岩石力学的四度自由物理模型.
- 将运动轨迹分为非粘性,冲击粘性和缓冲粘性状态.
- 应用延迟反控制,将延迟微分方程与普通微分方程相近.
- 使用伪弧度延续和Floquet理论进行参数分析.
- 进行岩石钻探实验以验证模型和发现.
主要成果:
- 确定了使用撞击频率作为分叉参数的多稳定吸引器 (p0q1,p1q2).
- 通过延迟反控制 (K=9, τd=0.35) 成功将双吸引器转换为单个吸引器 (p0q1).
- 确定参数域 (K, τd) 分于周期翻倍的分叉点 (PD1,PD2).
- 证明较小的延迟时间 (τd) 会增加系统碰撞和周期运动.
- 实验结果证实了模型的有效性和硬,易碎的岩石中多稳定性增加的可能性.
结论:
- 已建立的模型准确地代表了液压岩石钻机的多稳定性.
- 延迟反控制是管理多稳定性的有效策略,提高了钻井性能.
- 参数调整,特别是延迟时间,提供了一种控制系统动态,提高效率和稳定性的方法.
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