Nonlinear Modeling for Regenerative Cutting with Forced Vibration
[Thesis]
Xing, Siyuan
Luo, Albert C. J.
Southern Illinois University at Carbondale
2019
116 p.
Ph.D.
Southern Illinois University at Carbondale
2019
In this dissertation, a 2-DOF nonlinear regenerative cutting model with forced vibration from the workpiece oscillation is established. The periodic motions in such a nonlinear time-delay system are studied through a semi-analytical method. Such a method constructs an implicit mapping structure for periodic motions through the discretization of the governing delay-differential equations. The stability and bifurcations of periodic motions are predicted from the eigenvalue analysis. The periodic motions varying with excitation frequency in linear-structural and nonlinear-structural machine-tool systems are presented. The rich dynamics of the machine-tool systems are discovered. The numerical simulations of stable periodic motions are carried out from analytical predictions. Chatter may not be the chaotic motions; in fact, it can be large- amplitude periodic motions (stable and unstable). The phase difference between horizontal and vertical displacements can be used to detect chatter in machining process.