迭代生成微分方程分解方法研究

发布时间：2018-03-24 07:31

本文选题：多分量　切入点：生成微分方程　出处：《工程科学学报》2017年10期

【摘要】：针对实际振动信号中多分量分离问题,在生成微分方程解调技术的基础上,提出一种新的迭代分解方法.首先采用生成微分方程(generating differential equation,GDE),估计初始振动信号的瞬时频率和幅值包络,然后对瞬时频率通过低通滤波分离出第一个频率,基于此频率对原始信号通过高通滤波器后提取的成分作为第一个分量,最后用初始信号减去第一个分量的余值作为下一次迭代的初始值,迭代同样的步骤分析分解直到获取所有信号分量,以低于能量比阈值作为迭代终止条件.本方法不需要先验信息.通过仿真信号验证并与传统方法进行对比分析,证明了方法的有效性.通过实测轴承试验信号的故障分析,证明了方法的实用性.
[Abstract]:In view of the problem of multi-component separation in actual vibration signal, the demodulation technique of generating differential equation is used to solve the problem. A new iterative decomposition method is proposed. Firstly, the instantaneous frequency and amplitude envelope of the initial vibration signal are estimated by generating differential equation generating differential equation.Then the first frequency is separated by low-pass filter. Based on this frequency, the components extracted from the original signal through the high pass filter are taken as the first component, and the residual value of the first component is subtracted from the initial signal as the initial value of the next iteration. Iterative analysis decomposes the same steps until all signal components are obtained, and uses the lower energy ratio threshold as the termination condition of the iteration. The method does not require prior information, and is verified by simulation signals and compared with traditional methods. The validity of the method is proved, and the practicability of the method is proved by the fault analysis of the measured bearing test signal.
【作者单位】：北京科技大学机械工程学院;
【基金】：国家自然科学基金资助项目(11272047,51475038) 教育部新世纪优秀人才支持计划资助项目(NCET-12-0775)
【分类号】：TH133.3;TN911.6

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