Verification of Machine Tool Set-Up Stability Using a Simplified Wolfram Language-Based Model

Modern CNC machine tools are characterized by substantive dynamics of their main and forward movements which contributes to load fluctuation in course of their work. Generation of alternating forces is additionally exacerbated by imbalance of the rotating elements of the machine as well as external interactions influencing its foundation or supporting structure. Appropriate selection and distribution of elements coupling the foundation and the base of the machine tool affords minimization of assorted vibrations and ensures the required operational stability specific to each device. Here, we describe a method enabling quick verification of set-up stability of a machine tool at its construction stage. Results of theoretical analyses were corroborated by the outputs of empirical investigations conducted on a Wolfram Language-based model.