Milling spindle speed sinusoidal modulation parameter optimization method

Abstract

The invention provides a milling spindle speed sinusoidal modulation parameter optimization method, comprising the following steps: carrying out dynamics modeling of a variable-speed milling system, and establishing a variable-delay second-order differential dynamics equation; establishing a mapping relationship between a spindle speed sinusoidal modulation parameter and a delay variable, and calculating out the delay; carrying out state space transformation of the dynamics equation to get a transformed state space equation; dispersing the state space equation at variable step in two adjacent Floquet cycles; determining the stability of the milling system through a variable-step numerical integration approach; establishing a constraint optimization model by taking maximum milling efficiency as the goal and chatter-free milling and spindle speed change limit as constraints; and using an intelligent optimization algorithm to get an optimized variable-speed milling sinusoidal modulation parameter. By using the optimized sinusoidal modulation parameter in variable-speed milling, the efficiency of milling is improved greatly.

Description

technical field [0001] The invention relates to the technical field of mechanical processing, in particular to a method for optimizing the sinusoidal modulation parameter of the rotating speed of a milling spindle. Background technique [0002] Milling is one of the most common mechanical processing methods, and it is often used for cutting complex curved surface parts such as impeller blades. Regenerative chatter is very easy to occur if the processing parameters are not selected properly in the milling process. Regenerative chatter is a self-excited vibration, which seriously affects the processing quality and causes varying degrees of damage to the tool and the machine tool spindle. [0003] The strategy of continuously changing the spindle speed (such as sinusoidal change) in the milling process can effectively break the mechanism of regenerative chatter and improve the machining efficiency of chatter-free stable milling. However, the spindle speed modulation is a doubl...

AI Technical Summary

Problems solved by technology

At present, there are few methods for optimizing the speed modulation parameters of variable speed milling, and all of them are optimized by scanning the modulation parameter space to draw a high-dimensional parameterized map and then selecting the optimal modulation parameters, which has low calculation accuracy and long optimization time. Therefore, it is of great significance and background to propose a high-precision and high-efficiency intelligent optimization method for milling speed modulation parameters to avoid machining chatter and improve machining quality.

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