Liu Ming, Xun Haoran, Wu Liping
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 4;14(1):26566. doi: 10.1038/s41598-024-77439-x.
In this work, a control strategy based on fuzzy sliding mode control (FSMC) is applied to effectively manage the large-amplitude chaotic vibrations exhibited by a simply supported beam. The analysis considers the nonlinear beam structure, which is subjected to an external load. Hamilton's principle is employed, and the equations of motion are derived for the studied structure. The 3rd Galerkin discretization is employed to derive the ordinary differential governing equation of the structure. A control strategy is presented to decrease the response of the obtained multidimensional system. The vibration of a one-dimensional system is compared with that of the derived multidimensional system. As shown throughout the study, a multidimensional nonlinear system of the structure must be considered for accurate dynamic estimation. By using the recurrent neural network (RNN) model, we can accurately predict chaotic motion and effectively apply control strategies to suppress chaotic motion. The efficacy and suitability of the employed control strategy have been demonstrated by controlling chaos in the beam's multidimensional system.
在这项工作中，一种基于模糊滑模控制（FSMC）的控制策略被应用于有效管理简支梁所呈现的大幅度混沌振动。分析考虑了受外部载荷作用的非线性梁结构。采用哈密顿原理，推导了所研究结构的运动方程。运用第三次伽辽金离散化来推导结构的常微分控制方程。提出了一种控制策略以降低所得到的多维系统的响应。将一维系统的振动与所推导的多维系统的振动进行了比较。如整个研究所示，为了进行精确的动态估计，必须考虑结构的多维非线性系统。通过使用递归神经网络（RNN）模型，我们可以准确预测混沌运动并有效应用控制策略来抑制混沌运动。通过对梁的多维系统中的混沌进行控制，证明了所采用控制策略的有效性和适用性。
