Date of Award
Doctor of Philosophy
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.
This dissertation is only available for download to the SIUC community. Current SIUC affiliates may also access this paper off campus by searching Dissertations & Theses @ Southern Illinois University Carbondale from ProQuest. Others should contact the interlibrary loan department of your local library or contact ProQuest's Dissertation Express service.