Inasaki was the first to simulate the workpiece sinusoidal speed variation effect, concluding that chatter can be avoided with short periods and large amplitudes of variation. This periodically variable speed is one of the most extended techniques for chatter suppression in machining processes in general, and in grinding processes in particular. for milling and turning -later used for selection of variable pitch for chatter suppression in face milling to infeed cylindrical grinding process and traverse cylindrical grinding process -demonstrating the potential of this approach to analyze the application of variable speed to chatter avoidance with an efficient computing effort comparing to previous time-domain simulations.
applied the semi-discretization method proposed by Insperger et al. Validation of this method has been carried out by comparing its accuracy with previous published methods such as semi-discretization, frequency and time-domain simulations, obtaining good correlation in the results of the dynamic stability maps and the instability reduction ratio maps due to the application of variable speed.Īlvarez et al. Subspace iteration methods also deal with this analysis, providing an efficient solution between 27 and 47 times faster than the abovementioned methods. One of the advantages of these time-domain methods to the detriment of frequency domain ones is that they can analyze the stability of regenerative chatter with the application of variable workpiece speed, a well-known technique to avoid chatter vibrations in grinding processes so the optimal combination of amplitude and frequency can be selected. In the analyzed cases, subspace iteration has been up to 130 times faster. Without the need of building the transition matrix, this is the most efficient calculation in terms of computation effort compared to previously presented time-domain stability analysis methods (semi-discretization or time-domain simulations). The method is based on the application of the Floquet theorem by repeated time integrations. An alternative method is devised for calculating dynamic stability maps in cylindrical and centerless infeed grinding processes.
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