Semi-discretization for stability analysis of in-feed cylindrical grinding with continuous workpiece speed variation

This paper presents the advances of semi-discretization approach for the dynamic stability analysis of in-feed cylindrical grinding process. The corresponding mathematical model is an autonomous delay-differential equation and the application of continuous workpiece speed variation (CWSV) in the process leads to a time-varying delay. Discretization techniques are a good way of dealing with differential equations for which the solution cannot be given in closed forms. Therefore, the semi-discretization method is proposed to analyze the equation. Stability maps are devised to study the influence of the CWSV application. Contrary to milling and turning processes, stability in grinding is very much influenced by the residual flexibility due to the deformation of the grinding wheel-workpiece system, so this term has been included in the approach. The validation has been carried out experimentally and good correlation between test and simulation results has been achieved.

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