The axes response and resonance identification for a machine tool

The X–Y axes, distributed–lumped model, for a machine tool system are derived. Model validations using measured results are presented. Adaptation of the model accommodating thereby the Z axis transmission is provided. The combined X–Y–Z axes response, for a cylindrical cutting operation, enabling an assessment of machining integrity, is detailed. Resonance conditions and the identification of adverse cutting frequencies are investigated. Dynamic amplification and the time domain performance of the system is determined.

Research highlights
► We modelled the combined X–Y–Z, machine tool axis dynamics and computed the responses.
► A cylindrical cutting operation was investigated.
► The resonance conditions were identified.
► The simulated transients were considered for comparison with the machine tool system.