Chatter stability prediction for five-axis ball end milling with precise integration method

2018 ◽  
Vol 32 ◽  
pp. 20-31 ◽  
Author(s):  
Yuebang Dai ◽  
Hongkun Li ◽  
Zhaocheng Wei ◽  
Haiyun Zhang
Keyword(s):  
Integration Method ◽  
End Milling ◽  
Stability Prediction ◽  
Chatter Stability ◽  
Precise Integration ◽  
Ball End Milling ◽  
Precise Integration Method ◽  
Five Axis ◽  
Chatter Stability Prediction

An updated model of stability prediction in five-axis ball-end milling

2019 ◽  
Vol 103 (9-12) ◽  
pp. 3293-3306 ◽  
Author(s):  
Yuebang Dai ◽  
Hongkun Li ◽  
Jianglei Dong ◽  
Qiang Zhou ◽  
Jianhua Yong ◽  
...  
Keyword(s):  
End Milling ◽  
Stability Prediction ◽  
Ball End Milling ◽  
Five Axis

scholarly journals General Cutting Dynamics Model for Five-Axis Ball-End Milling Operations

2020 ◽  
Vol 142 (12) ◽  
Author(s):  
Jianhui Li ◽  
Z. Murat Kilic ◽  
Yusuf Altintas
Keyword(s):  
Tool Path ◽  
End Milling ◽  
Forced Vibrations ◽  
Numerical Control ◽  
Chatter Stability ◽  
Dynamics Model ◽  
Control Machine Tool ◽  
Axis Orientation ◽  
Ball End Milling ◽  
Five Axis

Abstract Five-axis ball-end milling is used extensively to machine parts with sculptured surfaces. This paper presents the general cutting dynamics model of the ball-end milling process for machine tools with different five-axis configurations. The structural dynamics of both the tool and workpiece are considered for the prediction of chatter stability at each tool location along the tool path. The effects of tool–workpiece engagement and tool axis orientation are included in the model. By sweeping the spindle speeds, the chatter-free spindle speeds are selected followed by the prediction of forced vibrations in five-axis milling of thin-walled, flexible parts. The proposed model has been experimentally illustrated to predict the chatter stability and forced vibrations on a table-tilting five-axis computer numerical control machine tool.

scholarly journals Precise Integration Method for Solving Noncooperative LQ Differential Game

2013 ◽  
Vol 2013 ◽  
pp. 1-9
Author(s):  
Hai-Jun Peng ◽  
Sheng Zhang ◽  
Zhi-Gang Wu ◽  
Biao-Song Chen
Keyword(s):  
Differential Equation ◽  
Differential Game ◽  
Integration Method ◽  
Transformation Method ◽  
Linear Quadratic ◽  
Riccati Differential Equation ◽  
Precise Integration ◽  
Precise Integration Method ◽  
Direct Integration Method ◽  
Two Parameters

The key of solving the noncooperative linear quadratic (LQ) differential game is to solve the coupled matrix Riccati differential equation. The precise integration method based on the adaptive choosing of the two parameters is expanded from the traditional symmetric Riccati differential equation to the coupled asymmetric Riccati differential equation in this paper. The proposed expanded precise integration method can overcome the difficulty of the singularity point and the ill-conditioned matrix in the solving of coupled asymmetric Riccati differential equation. The numerical examples show that the expanded precise integration method gives more stable and accurate numerical results than the “direct integration method” and the “linear transformation method”.

Mechanics and Dynamics of Multifunctional Tools

2015 ◽  
Vol 137 (1) ◽  
Author(s):  
Min Wan ◽  
Zekai Murat Kilic ◽  
Yusuf Altintas
Keyword(s):  
Time Domain ◽  
Prediction Models ◽  
Chip Thickness ◽  
Combined Processes ◽  
Multiple Delays ◽  
Stability Prediction ◽  
Chatter Stability ◽  
Regenerative Effect ◽  
Hole Making ◽  
Chatter Stability Prediction

The mechanics and dynamics of the combined processes are presented for multifunctional tools, which can drill, bore, and chamfer holes in one operation. The oblique cutting forces on each cutting edge with varying geometry are modeled first, followed by their transformations to tangential, radial, and axial directions of the cutter. The regenerative effect of lateral and torsional/axial vibrations is considered in predicting the dynamic chip thickness with multiple delays due to distribution of cutting edges on the cutter body. The lateral and torsional/axial chatter stability of the complete hole making operation is predicted in semidiscrete time domain. The proposed static cutting force and chatter stability prediction models are experimentally proven for two different multifunctional tools in drilling Aluminum Al7050 and Steel AISI1045.

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