Coupling degree analysis of stressedlap driving forces using the gray correlation technique
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Abstract:
A new method for analyzing the coupling degree of stressedlap driving forces based on the gray correlation analysis theory is proposed. One of the surface shape displacement vectors corresponding to stressedlap 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 graycorrelationcoefficients (GCC) of subsequences are calculated. The graycorrelationdegree (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 stressedlap. The proposed method provides a useful tool to make deep analysis and reasonable control strategies for stressedlap control systems. A case study on the coupling degree of an activelap with diameter 420 mm, 12 drivers, and 60 micromovement 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 stressedlap.
