基于改进型Duffing振子的微弱信号检测研究  

RESEARCH OF WEAK SIGNAL DETECTION BASED ON THE IMPROVED DUFFING OSCILLATOR

作　　者：王晓东[1,2] 杨绍普[1,2] 赵志宏 

机构地区：[1]石家庄铁道大学机械工程学院,石家庄050043 [2]河北省交通安全与控制重点实验室,石家庄050043

出　　处：《动力学与控制学报》2016年第3期283-288,共6页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(11172182;11227201;11472179)~~

摘　　要：传统的微弱信号检测在检测信噪比很低的信号时效果不理想,针对在强噪声背景下微弱信号的检测问题,提出了一种由单Duffing振子建立混沌系统的非线性恢复力项用-x^5+x^7来代替的改进方法,与传统Duffing振子检测系统相比具有更强的鲁棒性.阐述了基于相平面变化进行微弱信号检测的工作原理.对时间尺度进行变换,实现了对任意未知微弱周期信号的检测,通过对噪声背景中的微弱周期信号检测进行仿真实验,最后通过真实的故障轴承信号检测验证,都获得较好的效果,为工程实际应用提供了一种可鉴的方法.The effect of the traditional weak signal detection on low SNR is undesirable, this paper proposes an improved method for the detection of the weak signal under strong noise background, h replaces the nonlinear restoring force of a chaotic system by a equation of - x^5 ＋ x^7 by means of a single Duffing oscillator. Compared with the traditional Duffing oscillator detection system, this method performs stronger robustness. It states the working principle of weak signal detection based on the phase plane changes, and any unknown weak periodic signal detection can be achieved through the conversion of the time scale. The simulation study on the weak periodic signal detection under the noise background is also carried out, and verified against the detecting results of the real bearing fault signal. It is found that the proposed method obtains good effect. It provides a reasonable method for the engineering application.

关 键 词：混沌 DUFFING振子 微弱信号检测 仿真 

分 类 号：O415.5[理学—理论物理] TN911.23[理学—物理]