行星变速箱振动信号的线性量子信息熵特征

针对行星变速箱在运行时产生的非线性非平稳振动且故障特征信号微弱等问题，将量子理论引入信息熵的计算中，提出一种全新的特征提取方法——线性量子信息熵。介绍了量子理论的基本概念及振动信号的线性量子表达，建立了振动信号的多量子位系统；基于振动信号多量子位表达提出了线性量子信息熵算法；对行星变速箱故障模拟试验台采集到的齿轮正常、K1小行星轮裂纹、K1大行星轮裂纹、K2行星轮裂纹和K3太阳轮裂纹5种状态振动信号的线性量子信息熵进行求解，并与时频熵、排列熵、样本熵计算结果对比。结果表明，线性量子信息熵能够有效提取行星变速箱的运行状态特征。

Feature of Linear Quantum Information Entropy for Vibration Signals of Planetary Transmission Gearbox

For the nonlinearity and unstability of planetary gearbox vibration, as well as the weak fault feature during its operation, the quantum theory is introduced into calculation of information entropy, and a new feature extraction method—linear quantum information entropy (LQE) is proposed. The basic concepts of quantum theory and the linear quantum bit expression of vibration signals are introduced, and a multi-qubit system for vibration signals is established. Then a linear quantum information entropy algorithm is proposed based on the expression of multi-qubit signals. A planetary gearbox fault simulation test is performed, and the linear quantum information entropy of five state vibration signals collected by the test is solved. The calculated result of linear quantum information entropy is compared with the calculated results of time-frequency entropy (TFE), permutation entropy (PE) and sample entropy (SE). The result indicates that the linear quantum information entropy can be used effectively to extract the operating characteristics of planetary gearboxes.