基于灰色关联的应力盘驱动力耦合度分析

Coupling degree analysis of stressed-lap driving forces using the gray correlation technique

提出基于灰色关联分析理论的能动磨盘各驱动器间耦合度分析方法。该方法选择某一驱动器策动力对应应力盘各测量点面形变化量为母序列、其它驱动器策动力对应面形变化量为子序列;运用初值化方法对序列进行预处理,进而计算各子序列的灰色关联系数;最后,由各子序列灰色关联系数计算灰色关联度。根据灰色关联度的内涵,本文选择关联度为其对母序列的耦合度,以实现应力盘各驱动器间耦合效应的定量计算,为深入分析应力盘控制系统,为制定合理的控制策略、方案提供了保证。对有效变形口径为420 mm,包含12个驱动器和60个微位移阵列传感器的能动磨盘进行了驱动器耦合度分析,分析结果与实际情况相吻合,表明模型能准确刻画驱动器间的耦合效应。

A new method for analyzing the coupling degree of stressed-lap driving forces based on the gray correlation analysis theory is proposed. One of the surface shape displacement vectors corresponding to stressed-lap driving forces is taken as the primary sequence, and the others as the secondary sequences. The sequences are pretreated by using initial value processing, and the gray-correlation-coefficients （GCC） of subsequences are calculated. The gray-correlation-degree （GCD） can therefore be obtained using the GCCs of the subsequences. According to the concept of GCD, the GCD is explained as the coupling degree of secondary sequence to the primary sequence to achieve the quantitative calculation of coupling effect between the motors placed on a stressed-lap. The proposed method provides a useful tool to make deep analysis and reasonable control strategies for stressed-lap control systems. A case study on the coupling degree of an active-lap with diameter 420 ram, 12 drivers, and 60 micro-movement sensors shows that simulating results coincide with the actual situation, which means the proposed method can accurately describe the coupling degree between various drivers of a stressed-lap.