迭代生成微分方程分解方法研究

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. 

Decomposition method of iterated generating differential equation

Aimed at solving the problem of multi-component separation of actual vibration signals, here a new iterative decomposition method is proposed based on a generating differential equation (GDE) method. The first step is to estimate the instantaneous frequency and amplitude envelope of the original signals using GDE, then the frequency of the first component is obtained using a lowpass filter. Second, the original signal is passed through a high-pass filter to obtain the amplitude of the first component. Finally, the first component is subtracted from the original signal and the residual value, as the new money initial value, is decomposed in the next iteration. Compared with conventional methods, the proposed method is illustrated and verified by the simulation signals. When used for analysis of rolling bearing experimental signals, the results demonstrate that the approach is practical and effective.