A Parameter Study of a Machine Tool with Multiple Boundaries

The parameter study of a machine-tool with intermittent cutting is completed for eccentricity frequency and amplitude. The effects with respect to chip length are also incorporated, such that comparisons of the parameter maps can be accomplished. Specific areas within the parameter maps are studied, via switching components, to explain the complicated motions within. In such a case, the switching characteristics are shown in relation to the eccentricity frequency. The complexity of the periodic solution structure, with regard to the vector fields and mapping quantities, is discussed. Furthermore, the traditional definition of a stability boundary is extended beyond that in literature. The most useful data is the overlay of the number of mappings and minimum switching force product record. This aspect illustrates the extent and location of complexity in the machine-tool model studied herein.