Stability Analysis of Roll Grinding System with Double Time Delay Effects

Regenerative and frictional chatter in plunge grinding

“…Here, τ w0 and τ g0 are constant time delays adopted in many researches, say Yuan et al [39], Liu and Payre [18], Yan et al [38] and Kim [10]. However, as can be seen from Eqs.…”

“…Besides the kinematic models, many kinetic models were adopted as well. A dynamic model was given by Yuan et al [39], who employed delayed terms to describe the regenerative workpiece-wheel interactions. With the assumption that the delays are independent, they used the perturbation method and Lyapunov method to study the grinding stability and the chatter.…”

Non-linear analysis and quench control of chatter in plunge grinding

“…Firstly, the dynamic model of the grinding process is given in Section 2. After that, Section 3 studies the grinding dynamics by eigenvalue analysis [16], perturbation analysis [33], DDEBIFTOOL [34] and numerical simulation [23]. It is seen that the chatter mostly occurs through the subcritical Hopf bifurcation; therefore, the bifurcation control is used in Section 4.…”

“…Yuan et al [23] proposed a model with double time delay effects to study the grinding dynamics, where the delays represent the regeneration in the workpiece and wheel surfaces respectively. In their work, eigenvalue and perturbation analyses were used to study the grinding stability and the chatter vibration.…”

Regenerative chatter in self-interrupted plunge grinding

“…[5,38]. Later on, dynamic models with time delays were established by Yuan et al [44] and Liu and Payre [18] to examine grinding stability in a greater depth. Chung and Liu [7] studied theoretically the grinding chatter with the nonlinearity in the grinding force.…”