This book presents the recently introduced and already widely referred semi-discretization
method for the stability analysis of delayed dynamical systems. Delay differential equations …

We investigate a single-degree-of-freedom model of turning with sinusoidal spindle speed
modulation and the corresponding delay-differential equation with time-varying delay. The …

A new model of cutting process is developed in order to simplify modelling and gain a further
insight into the mechanics of frictional chatter. It is based on the well known Rayleigh …

Subscripts abm Altintas and Budak method bj Box-Jenkins model dde delay differential
equation dof degree (s) of freedom fdm finite difference method fem finite element method fft …

Milling chatter is a harmful phenomenon, which seriously affects the quality of the workpiece
and limits the processing efficiency. The milling with variable spindle speed is an effective …

This paper focuses on the investigation, based on theoretical analysis and through
machining experiments, of using variable spindle speed machining to suppress chatter in a …

Chatter is an unfavorable phenomenon in turning operation causing poor surface quality.
Active chatter elimination methods require the chatter to be detected before the control …

Milling cutter with variable pitches can effectively suppress chatter. In order to quickly and
accurately calculate stability boundaries in the milling process with variable pitches, a novel …

This paper presents an investigation on the phenomenon of delayed bifurcation in time-
delayed slow-fast differential systems. Here the two delayed's have different meanings. The …

We study complex dynamics of a cutting process, a recently developed frictional model of
cutting process in [Rusinek et al., 2014] to gain better insight into the mechanics of frictional …