A Novel Approach to Vibration Control in Fluid-Conveying Pipes Using Piezoelectric Actuators

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-27 DOI:10.1016/j.cnsns.2025.108914

Mohammad Javad Pourmohammadi, Mojtaba Eftekhari, Mahdi Gholami

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引用次数: 0

Abstract

Considering the fatigue and failures of fluid-conveying pipes caused by undesirable dynamics and instabilities, as well as the inability of passive controllers to prevent these adverse behaviors, this work proposes the use of a new adaptive nonlinear controller employing piezoelectric actuators to reduce vibrations and undesirable behaviors. The study investigates the nonlinear behavior of a piezoelectric pipe at 2:1 internal resonance in supercritical regime under harmonic base excitation. A closed-loop system comprising a controller, sensor, and actuator is employed for vibration control. The classical equations of motion are derived using the Hamilton’s principle and solved via the Galerkin and multiple scales methods. A fuzzy type-2 terminal sliding mode controller is designed to enhance stability and suppress vibrations across a wide range of excitation frequencies, while also minimizing control effort chattering in the presence of noisy sensors. Simulation results demonstrate the high efficiency of the proposed active controller.

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利用压电作动器控制流体输送管道振动的新方法

考虑到输送管道的疲劳和故障是由不良的动力学和不稳定性引起的，以及被动控制器无法防止这些不良行为，本工作提出使用一种新的自适应非线性控制器，采用压电作动器来减少振动和不良行为。研究了压电管在谐波基激励下在超临界状态下2:1内共振的非线性行为。采用由控制器、传感器和执行器组成的闭环系统进行振动控制。经典的运动方程是用哈密顿原理推导出来的，用伽辽金法和多尺度法求解。模糊2型终端滑模控制器旨在提高稳定性并抑制宽激励频率范围内的振动，同时最大限度地减少存在噪声传感器时的控制努力抖振。仿真结果证明了所提主动控制器的高效率。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.