非线性俘能系统机电耦合动力学模型分析及故障诊断应用研究  

Analysis and fault diagnosis application of the electromechanical dynamic model of the nonlinear energy harvester

作　　者：徐海涛 周生喜 XU Hai‑tao;ZHOU Sheng‑xi(School of Aeronautics,Northwestern Polytechnical University,Xi’an 710072,China)

机构地区：[1]西北工业大学航空学院,陕西西安710072

出　　处：《振动工程学报》2024年第10期1714-1722,共9页Journal of Vibration Engineering

基　　金：国家重点研发计划项目(2022YFB2603200);国家自然科学基金面上项目(12072267)。

摘　　要：研究势阱参数对非线性俘能系统输出特性的影响有利于设计高性能的俘能系统;同时,俘能系统对应的机电耦合动力学模型中的随机共振现象可用于增强微弱故障特征,进而有效识别微弱故障。本文提出一种解耦的鞍点退化双稳态势能函数,并基于此势能函数介绍了机电耦合动力学模型。研究了在不同激励幅值下位移响应的分岔图,分析了势阱宽度与势阱高度对系统响应(包括周期响应与混沌响应)的影响。选取固定的激励幅值,利用庞加莱映射(PoincaréMap)、频谱分析(Frequency Spectrum Analysis)以及李雅普诺夫指数(Lyapunov Exponent)等方法分别验证系统发生了周期响应与混沌响应,验证结果与分岔图相吻合。基于受随机噪声扰动的非线性俘能系统机电耦合动力学模型,提出了基于此模型随机共振的故障诊断方法,实现了对轴承故障特征增强的目的。The study of the influence of potential well parameters on the output of a nonlinear energy harvester system is conducive to the design of the high-performance energy harvester system.Meanwhile,the stochastic resonance phenomenon in the corresponding electromechanical coupling dynamics model of the energy harvester system can be used to enhance the characteristics of weak faults,so as to effectively identify weak faults.This paper proposes a decoupled saddle-point-degradation bistable potential function,and the electromechanical dynamic model is introduced.The bifurcation diagram under different excitation amplitudes is obtained to discuss the effect of the barrier width and the barrier height on the responses(periodic response and chaotic response).According to the methods of the Poincarémap,the frequency spectrum analysis,and the Lyapunov exponent,the periodic response and the chaotic response are examined at a fixed excitation amplitude,which is consistent with that obtained from the bifurcation diagram.Based on the electromechanical dynamic model perturbed by the random noise,the stochastic-resonance-based method is proposed for fault diagnosis,which achieves the enhancement of the simulated and experimental bearing fault characteristics.

关 键 词：非线性系统 能量俘获 故障诊断 李雅普诺夫指数 庞加莱映射 

分 类 号：O322[理学—一般力学与力学基础] TM619[理学—力学] TH165.3[电气工程—电力系统及自动化]