The invention relates to a method for controlling a workpiece vibration
system in the milling process of a thin-walled workpiece through bifurcation and
chaotic analysis. The method comprises the steps that firstly, a nonlinear kinetic equation of a rectangular thin-walled workpiece under the
thermal coupling effect in the milling process is established; then, the condition that a
nonlinear vibration system generates Smale horseshoe chaos is revealed through a Melnikov function; meanwhile, according to the bifurcation and
chaotic analysis method, the influence rule of the change of the load, the temperature, the technological parameters and the like on the nonlinear dynamic behavior of the
system in the thin-wall workpiece
machining process is analyzed, and the thin-wall workpiece
vibration control method optimized through the
machining parameters is finally established. According to the method, by using the bifurcation and
chaotic analysis method, the influence rule of the change of the load, the temperature, the technological parameters and the like on a workpiece vibration system in a milling process is analyzed based on an established kinetic equation of the workpiece vibration system in the
machining process.
Processing parameters can be scientifically selected by using a chaos and bifurcation analysis
vibration control method, so that the
processing quality can be effectively improved.