Liu Ming, Lv Jiaole, Wu Liping, Li Yining
School of Environment and Safety Engineering, Liaoning Petrochemical University, Fushun, 113001, China.
General Graduate School, Woosuk University, Wanju-gun, Jeollabuk-do, 55338, Republic of Korea.
Sci Rep. 2024 Nov 3;14(1):26495. doi: 10.1038/s41598-024-77632-y.
A new control approach based on fuzzy sliding mode control (FSMC) is proposed to regulate the chaotic vibration of an axial string. Hamilton's principle is used to formulate the nonlinear equation of motion of the axial translation string, and the von Kármán equations are used to analyse the geometric nonlinearity. The governing equations are nondimensionalized as partial differential equations and transformed into a nonlinear 3-dimensional system via the third-order Galerkin approach. An active control technique based on the FSMC approach is suggested for the derived dynamic system. By using a recurrent neural network model, we can accurately predict and effectively apply a control strategy to suppress chaotic movements. The necessity of the suggested active control method in the regulation of the nonlinear axial translation string system is proven using different chaotic vibrations. The results show that the study of the chaotic vibrations of axially translating strings requires nonlinear multidimensional dynamic systems of axially moving strings; the validity of the proposed control strategy in controlling the chaotic vibration of axially moving strings in a multidimensional form is demonstrated.
提出了一种基于模糊滑模控制（FSMC）的新型控制方法，以调节轴向弦线的混沌振动。利用哈密顿原理建立轴向平移弦线的非线性运动方程，并采用冯·卡门方程分析几何非线性。将控制方程无量纲化为偏微分方程，并通过三阶伽辽金方法转化为非线性三维系统。针对所推导的动态系统，提出了一种基于FSMC方法的主动控制技术。通过使用递归神经网络模型，我们可以准确预测并有效应用控制策略来抑制混沌运动。利用不同的混沌振动，证明了所提出的主动控制方法在调节非线性轴向平移弦线系统中的必要性。结果表明，轴向平移弦线混沌振动的研究需要轴向运动弦线的非线性多维动态系统；证明了所提出的控制策略在以多维形式控制轴向运动弦线混沌振动方面的有效性。
