3D Ball-End Milling Force Model Using Instantaneous Cutting Force Coefficients

2005 ◽  
Vol 127 (1) ◽  
pp. 1-12 ◽  
Author(s):  
Jeong Hoon Ko ◽  
Dong-Woo Cho
Keyword(s):  
Cutting Force ◽  
End Milling ◽  
Cutting Conditions ◽  
Force Model ◽  
Cutting Force Model ◽  
Cutting Force Coefficients ◽  
Milling Force ◽  
Ball End Milling ◽  
Force Coefficients ◽  
Instantaneous Cutting Force Coefficients

Application of a ball-end milling process model to a CAD/CAM or CAPP system requires a generalized methodology to determine the cutting force coefficients for different cutting conditions. In this paper, we propose a mechanistic cutting force model for 3D ball-end milling using instantaneous cutting force coefficients that are independent of the cutting conditions. The uncut chip thickness model for three-dimensional machining considers cutter deflection and runout. An in-depth analysis of the characteristics of these cutting force coefficients, which can be determined from only a few test cuts, is provided. For more accurate cutting force predictions, the size effect is also modeled using the cutter edge length of the ball-end mill and is incorporated into the cutting force model. This method of estimating the 3D ball-end milling force coefficients has been tested experimentally for various cutting conditions.

Identification of Polynomial Cutting Coefficients for a Dual-Mechanism Ball-end Milling Force Model

2019 ◽  
Vol 13 (3) ◽  
pp. 232-240
Author(s):  
Zhixin Feng ◽  
Meng Liu ◽  
Guohe Li
Keyword(s):  
Cutting Force ◽  
End Milling ◽  
Least Square ◽  
Force Model ◽  
Cutting Force Coefficients ◽  
Milling Force ◽  
Ball End Milling ◽  
Force Coefficients ◽  
Cutting Coefficients ◽  
Milling Force Model

Background: Calibration of cutting coefficients is the key content in modeling a mechanistic cutting force model. Generally, in modeling cutting force for ball end milling, the tangent, radial and binormal cutting force coefficients are each considered as a polynomial, respectively. This fact is due to the dependency between the cutting force coefficients and the cutting edge inclination angle which is variable in ball-end mills. Objective: This paper presents an approach to determine the polynomial cutting force coefficients. Methods: In this approach, the cutting force coefficients are expressed as explicit linear equations about the average slotting forces. After analysis of the least square regression method which is utilized in the cutting coefficients evaluation, the principle of cutting parameters choice in calibration experiment and the relationship between the order of polynomial and the number of experiments are presented. Besides, a lot of patents on identification of polynomial cutting coefficients for milling force model were studied. Results: Finally, a series of semi-slotting verification cutting tests were arranged, the measured force agrees well with the predicted force, which demonstrates the effectiveness of this approach. Conclusion: Based on the calibration method proposed in this paper, the cutting coefficients can be determined through (m+2) slotting experiments for m-degree shearing coefficients polynomial theoretically.

A Mechanistic Model of Cutting Forces in Micro-End-Milling With Cutting-Condition-Independent Cutting Force Coefficients

2008 ◽  
Vol 130 (3) ◽  
Author(s):  
Han Ul Lee ◽  
Dong-Woo Cho ◽  
Kornel F. Ehmann
Keyword(s):  
Cutting Force ◽  
Cutting Forces ◽  
End Milling ◽  
Cutting Conditions ◽  
Thickness Effect ◽  
Force Model ◽  
Cutting Force Coefficients ◽  
Force Coefficients ◽  
Micro End Milling ◽  
Cutting Mechanisms

Complex three-dimensional miniature components are needed in a wide range of industrial applications from aerospace to biomedicine. Such products can be effectively produced by micro-end-milling processes that are capable of accurately producing high aspect ratio features and parts. This paper presents a mechanistic cutting force model for the precise prediction of the cutting forces in micro-end-milling under various cutting conditions. In order to account for the actual physical phenomena at the edge of the tool, the components of the cutting force vector are determined based on the newly introduced concept of the partial effective rake angle. The proposed model also uses instantaneous cutting force coefficients that are independent of the end-milling cutting conditions. These cutting force coefficients, determined from measured cutting forces, reflect the influence of the majority of cutting mechanisms involved in micro-end-milling including the minimum chip-thickness effect. The comparison of the predicted and measured cutting forces has shown that the proposed method provides very accurate results.

Effect of Lubrication Conditions to the Cutting Force Coefficients in Machining Process

2015 ◽  
Vol 1115 ◽  
pp. 55-58
Author(s):  
Wan Mohd Azlan Nowalid ◽  
Muhammad Adib Shaharun ◽  
Ahmad Razlan Yusoff
Keyword(s):  
Cutting Force ◽  
Metal Cutting ◽  
Machining Process ◽  
Force Model ◽  
Cutting Force Model ◽  
Cutting Force Coefficients ◽  
Milling Force ◽  
Force Coefficients ◽  
Milling Forces ◽  
Lubrication Conditions

The cutting force is the main important factor contributing the machined work piece surface and in determining the acceptable cutting parameters for high productivity in metal cutting industries. The prediction of cutting force coefficients of materials were calculated from the average cutting force model contributing to the constants of cutting force coefficients. In this study, experimental investigation is conducted to determine the cutting force coefficients in the average cutting force model, by identifying cutting force coefficients with different lubrication conditions such as dry, flood and minimal lubrication conditions and cutting speeds. A series of slot milling experiments are measured the milling forces by fixing the spindle speeds and radial/axial depths of cutting and linearly varying the feed per tooth. Using linearly fitting the experimental data, the tangential and radial milling force coefficients are then computed. The achieved results showed that the changing of spindle speed and different lubrication conditions affecting the milling force coefficient.

Research on Feedrate Optimization Based on Cutting Force Model with Double Effect for the Ball-End Milling

2011 ◽  
Vol 291-294 ◽  
pp. 2965-2969
Author(s):  
Yu Jun Cai ◽  
Hua Shen ◽  
Tie Li Qi
Keyword(s):  
Cutting Force ◽  
End Milling ◽  
Double Effect ◽  
Machining Process ◽  
Force Model ◽  
Optimization Strategy ◽  
Cutting Force Model ◽  
Ball End Mill ◽  
Ball End Milling ◽  
Feedrate Optimization

A new cutting force model of ball-end mill with double effect is developed through analysing the machining process by using differential geometry. The cutting force model is needed to be revised for the component force in Z direction because of the offset to the actual results. The cutting force and the ball-end milling force coefficients can be given with numerical method. A feedrate optimization strategy is also proposed based on the developed cutting force model and tested effectively.

scholarly journals Cutting Force Modeling and Optimization in 3D Plane Surface Machining

1999 ◽  
Author(s):  
Hsi-Yung (Steve) Feng ◽  
Ning Su
Keyword(s):  
Cutting Force ◽  
Cutting Forces ◽  
End Milling ◽  
Plane Surface ◽  
Mechanistic Modeling ◽  
Surface Finishing ◽  
Force Model ◽  
Cutting Force Model ◽  
Ball End Milling ◽  
Finishing Machining

Abstract The prediction and optimization of cutting forces in the finishing machining of 3D plane surfaces using ball-end milling are presented in this paper. The cutting force model is developed based on the mechanistic modeling approach. This improved model is able to accurately predict the cutting forces for non-horizontal and cross-feed cutter movements typical in 3D finishing ball-end milling. Optimization of the cutting forces is used to determine both the tool path and the maximum feed rate in 3D plane surface finishing machining. The objective is to achieve highest machining efficiency and to ensure product quality. Experimental results have shown that the cutting force model gives excellent predictions of cutting forces in 3D finishing ball-end milling. The feasibility of the integrated process planning method has been demonstrated through the establishment of optimized process plans for the finishing machining of 3D plane surfaces.

Modeling and Simulation of Ball End Milling Force for Mold Cavity Corner

2014 ◽  
Vol 800-801 ◽  
pp. 337-341 ◽  
Author(s):  
Yun Peng Ding ◽  
Xian Li Liu ◽  
Hui Nan Shi ◽  
Jiao Li ◽  
Rui Zhang
Keyword(s):  
Contact Area ◽  
End Milling ◽  
Mold Cavity ◽  
Force Model ◽  
Cutting Force Model ◽  
Milling Force ◽  
Milling Cutter ◽  
Ball End Milling ◽  
Milling Force Model ◽  
Corner Machining

In this paper, a cutting force model in ball end milling of mold cavity corner is established. Based on infinitesimal milling force model, cutting element of ball end milling cutter is treated as equal diameter end milling cutter, then determine the location of points when the micro-element participated in the cutting, and the tool-workpiece contact area and cutting range is determined. Thereby a complete milling force model in corner machining with ball end milling cutter is established.

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