Harmonic retrieval of regenerative machining chatter responses

Based on cross fourth-order cumulants, a total least square ESPRIT approach to jointly estimating harmonic parameters in hybrid colored noises is presented, which is applied to investigate the harmonic retrieval of regenerative machining chatter responses. Taking into consideration the multiple-regenerative effect, the delayed machining dynamics under the excitation of stochastic noises is modeled, and a recursive algorithm of the solution to the delayed machining dynamics is proposed. The harmonic parameter estimation of regenerative chatter responses is detailed, which include the harmonic frequencies, cross powers, and phase shifts between successive cuts. The results demonstrate that the presented harmonic parameter estimation approach can eliminate the hybrid colored noises, retrieve the harmonic parameters with excellent estimation performance, and extract the evolution features of regenerative machining chatter.