A Improved EMD algorithm Based on Local Integral Average Constraint Cubic Spline Interpolation by Adding dense point and Its Application to Rotary Machine Fault Diagnosis
CAI Yan-ping1，3 XU Guang-hua1，2 LI Ai-hua3 WANG Tao3
1.School of Mechanical Engineering，Xi’an Jiaotong University，Xi’an 710049, China;
2.State Key Laboratory for Manufacturing Systems Engineering，Xi’an Jiaotong University，Xi’an 710049, China;
3. Department No.5, the Second Artillery Engineering University, Xi’an 710025, China
Envelope fit is a key part of EMD（Empirical Mode Decomposition）. The current methods for solving EMD envelope fit problem have two categories: envelope average method and local mean direct strike method. In some degree, these two methods have cubic spline interpolation overshoot, undershoot, screening speed or local mean estimate error and other problems. For the envelope fit problem of EMD, an improved EMD algorithm is proposed, which is based on constraint cubic spline interpolation for local integral average and its adding dense point. The method, uses constant proportion division point method to add dense point of EMD spline interpolation, uses piecewise constrained cubic spline interpolation to suppress EMD envelope overshoot and undershoot problem, and uses IMF (Intrinsic Mode Function) direct selection method to reduce spline interpolation times when calculating the EMD local average. Based on the improvement of above three aspects to improve EMD, the proposed method can improve the standard EMD algorithm calculation speed and the envelope curve fitting accuracy. Instance of the simulated signals and rotor fault vibration signal analysis shows that the proposed method both in fitting error and operation speed have greater advantages, and the EMD decomposition accuracy and decomposition efficiency are increased. Lastly, the proposed method is successfully applied in the fault diagnosis of rotary machine, which can exactly recognize rotary machine faults.
蔡艳平1，3 徐光华1，2 李艾华3 王涛3. EMD局部积分均值增密插值改进算法及其在转子故障诊断中的应用[J]. 振动与冲击, 2016, 35(19): 81-87.
CAI Yan-ping1，3 XU Guang-hua1，2 LI Ai-hua3 WANG Tao3. A Improved EMD algorithm Based on Local Integral Average Constraint Cubic Spline Interpolation by Adding dense point and Its Application to Rotary Machine Fault Diagnosis. JOURNAL OF VIBRATION AND SHOCK, 2016, 35(19): 81-87.
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