一种基于分子结构设计理论的聚类分析方法

A clustering analysis method based on theory of molecular structure design

针对常用的无监督聚类分析方法中存在的问题,提出了一种基于分子结构设计理论的聚类分析方法。该方法借鉴分子结构设计理论模型,将故障样本空间看作分子系统,将故障样本看作分子系统中的原子,以故障样本之间的差异度作为分子势能的度量指标,在故障样本间"相互作用势"的影响下,以样本间"势能"最小为依据,调整故障样本在映射平面上的位置,从而获得最佳的聚类效果。开展了不同状态滚动轴承振动测试实验,聚类结果表明,相比于SOM聚类方法,该方法将聚类有效性指标DB值降低49.04%。将该方法应用于柴油机故障振动数据的聚类中,实验结果表明聚类效果良好,能够有效地将不同故障的数据区分开,验证了该方法的可行性和有效性。

Aiming at defects of the commonly used unsupervised clustering analysis method,a new clustering analysis method based on the theory of molecular structure design was proposed. The proposed method drew a lesson from a theoretical model of molecular structure design,and it took a fault sample space as a molecular system,fault samples as atoms in the molecule system,diversities among fault samples as the measurement index of molecular potential energy.Under the influence of the interaction potential among fault samples,taking that the potential energy among samples was the minimum as a criterion,positions of fault samples on a mapping plane were adjusted to get the optimal clustering results. Vibration tests for rolling bearings under different conditions were conducted. The clustering results showed that compared with the SOM clustering method,the proposed method reduces the clustering effectiveness index d B value by49. 04%. The proposed method was also applied in clustering diesel engines＇ fault vibration data. The test results showed that its clustering effect is good,it can effectively separate different faults＇ data regions; the feasibility and effectiveness of the proposed method are verified.