A Novel Updated Full-Discretization Method for Prediction of Milling Stability

Area of Science:

• Mechanical Engineering
• Manufacturing Processes
• Vibrations and Dynamics

Background:

• Milling processes are susceptible to chatter, a self-excited vibration that limits productivity and surface quality.
• Accurate prediction of milling stability is crucial for optimizing cutting parameters and preventing chatter.
• Existing methods often face trade-offs between computational efficiency and prediction accuracy.

Purpose of the Study:

• To develop an updated and efficient full-discretization method for milling stability prediction.
• To enhance computational efficiency without compromising prediction accuracy.
• To validate the proposed method through experimental verification.

Main Methods:

• Modeling the milling system as a delay differential equation incorporating regenerative chatter.
• Approximating system states and time-delay terms using cubic spline and third-order Newton interpolation within discrete time intervals.
• Constructing a transition matrix to represent inter- அதிகரிக்கிறது transfer relationships.
• Applying Floquet theory for stability lobe determination.
• Developing an optimized algorithm for improved computational efficiency.

Main Results:

• The proposed full-discretization method accurately predicts milling stability lobes.
• The optimized method achieves high precision and computational efficiency.
• Experimental results demonstrate strong agreement with the predicted stability predictions.

Conclusions:

• The developed method provides a precise and efficient tool for milling stability analysis.
• The approach effectively overcomes limitations of traditional methods.
• This research contributes to enhanced productivity and quality in milling operations.