非线性量子信息熵及其在行星变速箱特征提取中应用

Nonlinear quantum entropy and its application in feature extraction for planetary gearboxes

针对行星齿轮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,将量子理论引入到信息熵的计算中,提出一种全新的特征提取方法-非线性量子信息熵。根据量子理论的基本概念,建立了振动信号的多量子位系统;分析了将量子理论引入到信息熵中的可行性,进而提出了非线性量子信息熵基本原理,并对行星齿轮箱三种运行状态振动仿真信号的非线性量子信息熵进行了分析,说明了量子信息熵作为行星齿轮箱特征的可行性;最后以行星变速箱故障试验台采集到的五种状态信号为例,计算其非线性量子信息熵,并与时频熵和样本熵计算结果对比。结果表明,非线性线性量子信息熵能够有效的提取行星变速箱运行状态特征。

Aiming at the nonlinear and non-stationary vibration of planetary gearbox and the weak fault characteristic signal,the quantum theory was introduced into the calculation of information entropy,and a new feature extraction method,nonlinear quantum information entropy,was proposed.According to the basic concept of quantum theory,the multi-qubit system of vibration signal was established,the feasibility of introducing quantum theory into information entropy was analyzed,and the basic principle of nonlinear quantum information entropy was proposed.The nonlinear quantum information entropy of vibration simulation signals in three states of planetary gearbox was analyzed,and the feasibility of using quantum information entropy as the characteristic of planetary gearbox was illustrated.Finally,the nonlinear quantum information entropy of the five kinds of state signals collected by the planetary gearbox fault test bed was calculated and compared with the results of time-frequency entropy and sample entropy.The results show that nonlinear quantum information entropy can effectively extract the operating state characteristics of planetary gearbox.