Method for controlling vibration based on bifurcation and chaotic analysis

Abstract

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.

Description

technical field

[0001] The invention relates to the field of vibration control of thin-walled parts, in particular to a vibration control method based on bifurcation and chaos analysis. Background technique

[0002] Thin-walled parts are widely used in many important fields such as aerospace, energy, transportation, etc., and their milling vibration has rich nonlinear behavior characteristics during machining. In order to control the milling vibration in the machining process and improve the machining quality and precision of the surface of thin-walled parts, it is very necessary to study the bifurcation and chaos of the vibration of small-deflection thin-walled parts under the action of thermal and force coupling fields.

[0003] External excitation has a great influence on the nonlinear vibration of thin-walled parts. Since the beginning of the 21st century, Yeh, Y.-L., etc. have studied the influence of thermal-mechanical coupling on the nonlinear vibration of large-defl...

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