Predictive Cutting Force Model and Cutting Force Chart for Milling with Cutter Axis Inclination

2013 ◽  
Vol 7 (1) ◽  
pp. 30-38 ◽  
Author(s):  
Takashi Matsumura ◽  
◽  
Motohiro Shimada ◽  
Kazunari Teramoto ◽  
Eiji Usui ◽  
...  

A force model for milling with cutter axis inclination is presented. The model predicts the cutting force and chip flow direction. Three-dimensional chip flow is interpreted as a piling up of the orthogonal cuttings in the planes containing the cutting velocities and the chip flow velocities in the inclined coordinate system with a ball end mill. The chip flow direction is determined to minimize the cutting energy consumed into the shear energy on the shear plane and the friction energy on the rake face. Then, the cutting force is predicted in the chip flow determined model. The presented cutting model is verified by comparing the predicted cutting forces to the measured forces in the actual cutting tests. As an advantage of the presented force model, the change in the chip flow direction during one rotation of the cutter is also predicted in the simulation for the cutter axis inclination and the cutting parameters. In the simulation, the effect of cutter axis inclination on the cutting process is discussed in terms of the tool wear and surface finish. The cutting force charts, in which the maximum values of the positive and the negative cutting forces are simulated for the inclination angles, are presented to review the cutter axis inclination. The applicable cutter axis inclination can be determined by taking into account the thresholds of the cutting force components.

Author(s):  
Takashi Matsumura ◽  
Shouichi Tamura

Titanium alloy plate formed in rolling has anisotropic properties. The effect of anisotropy on cutting force should be considered in determination of the cutting parameters. A force model of anisotropic materials is presented to predict the cutting forces in milling. In the force model, three-dimensional chip flow is made by piling up the orthogonal cuttings in the planes containing the cutting velocities and the chip flow velocities, where the chip flow direction is determined to minimize the cutting energy. In the anisotropic material model, the shear stress on the shear plane is defined as a function of the orientation angle of the cutting edge in milling. Therefore, the cutting force depends on the feed direction of the end mill. The force model for milling of Ti-6Al-4V is verified in comparison between the simulated and the measurement.


2010 ◽  
Vol 4 (3) ◽  
pp. 221-228 ◽  
Author(s):  
Takashi Matsumura ◽  
◽  
Takahiro Shirakashi ◽  
Eiji Usui

An adaptive force model is presented to predict the cutting force and the chip flow direction in milling. The chip flow model in the milling process is made by piling up the orthogonal cuttings in the planes containing the cutting velocities and the chip flow velocities. The chip flow direction is determined to minimize the cutting energy. The cutting force is predicted using the determined chip flow model. The force model requires the orthogonal cutting data, which associate the orthogonal cutting models with the cutting parameters. Basically, the required data for simulation can be measured in the orthogonal cutting tests. However, it is difficult to perform the cutting tests with specialized setups in the machine shops. The paper presents the adaptive model to accumulate and update the orthogonal cutting data with referring the measured cutting forces in milling. The orthogonal cutting data are identified to minimize the error between the predicted and the measured cutting forces. Then, the cutting forces can be predicted well in many cutting operations using the identified orthogonal cutting data. The adaptive is effective not only in extending the database but also in improving the quality of the database for the accurate predictions.


2021 ◽  
Author(s):  
Shoichi Tamura ◽  
Takashi Matsumura

In manufacturing, hybrid systems of metal additive manufacturing and cutting in the same platform have been attractive in terms of low volume production of customized parts, complex shape, and fine surface finish. Milling is conducted to finish rough surface fabricated in additive process. The fundamental machinability of the additive workpiece should be studied because the material properties are different from metals produced in the conventional process. The paper discusses the cutting forces in milling of AISI 420 stainless steel fabricated in additive process. The cutting tests were conducted to measure the cutting forces and the chip morphologies for tool geometries. The cutting forces were also analyzed in an energy-based force model. In the analysis model, three-dimensional chip flow is interpreted as a piling up of orthogonal cuttings in the planes containing the cutting velocities and the chip flow velocities, where the cutting model is made by the orthogonal cutting data acquired in cutting tests. The chip flow direction is determined to minimize the cutting energy. The cutting forces, then, were predicted in the determined chip flow model. The cutting force model was validated in comparison of simulated forces with the actual ones.


Author(s):  
Takashi Matsumura ◽  
Yuji Musha

Abstract The paper discusses micro dimple millings with inclined ball end mills. Cutting process models are presented to control the dimple shapes and predict the cutting forces. In micro dimple milling, the cutter rotation axis is inclined to have the non-cutting time, during which the cutting edges don’t remove the material in a rotation of cutter. The end mill is fed at a high rate so that the machining areas removed by the cutting edges are not overlapped each other. The shapes and the alignment of the dimples are simulated for the cutting parameters in the mechanistic model. Then, the cutting forces are predicted for high machining accuracies. The cutting experiments were conducted to verify the micro dimple machining. The dimple shape model is validated in comparison between the simulated and the actual dimple shapes. The cutting forces are simulated to compare the measured ones. The force model works well to predict the cutting forces with the chip flow direction during a rotation of the cutter.


2010 ◽  
Vol 97-101 ◽  
pp. 1961-1964 ◽  
Author(s):  
Wei Guo Wu ◽  
Gui Cheng Wang ◽  
Chun Gen Shen

In this work, the prediction and analysis of cutting forces in precision turning operations is presented. The model of cutting forces is based on the oblique cutting force model which was rebuilt by two coordinate conversions from the orthogonal cutting model. Then the cutting field in precision turning was divided into two fields which are characterized as curve change and linear change on cutter edge and they were modeled respectively. Cutting field of cutter nose was modeled by differential method and its cutting force distribution is predicted by the proposed method. The predicted results for the cutting forces are in agreement with the experimental results under a variety of operation variables, including changes in the depths of cut and in the feedrate.


2010 ◽  
Vol 42 ◽  
pp. 242-245
Author(s):  
Yong Jie Ma ◽  
Yi Du Zhang ◽  
Xiao Ci Zhao

In the present study, aluminum alloy 2014 was selected as workpiece material, cutting forces were measured under turning conditions. Cutting parameters, the depth of cut, feed rate, the cutting speed, were considered to arrange the test research. Mathematical model of turning force was solved through response surface methodology (RSM). The fitting of response surface model for the data was studied by analysis of variance (ANOVA). The quadratic model of RSM associated with response optimization technique and composite desirability was used to find optimum values of machining parameters with respect to cutting force values. The turning force coefficients in the model were calibrated with the test results, and the suggested models of cutting forces adequately map within the limits of the cutting parameters considered. Experimental results suggested that the most cutting force among three cutting forces was main cutting force. Main influencing factor on cutting forces was obtained through cutting force models and correlation analysis. Cutting force has a significant influence on the part quality. Based on the cutting force model, a few case studies could be presented to investigate the precision machining of aluminum alloy 2014 thin walled parts.


2016 ◽  
Vol 836-837 ◽  
pp. 408-416
Author(s):  
Xiao Dong Zhang ◽  
Ce Han ◽  
Ding Hua Zhang ◽  
Ming Luo

A unified oblique cutting force model for flat end mills is developed. In this model, the cutting force is bridged among cutter geometry, material properties and cutting parameters. The cutter angles, material parameters and cutting parameters are the only inputs so that the model is applicable for different cutter-workpiece combinations and cutting parameters. The parameters in the model are solved by the geometric relations, applying Maximum Shear Stress Principle and Stabler’s chip flow rule. The material parameters are identified in a new method with orthogonal milling tests. The simulation results of the proposed model are in good agreement with experiments.


2014 ◽  
Vol 625 ◽  
pp. 564-569 ◽  
Author(s):  
Wataru Takahashi ◽  
Hiroyuki Sasahara ◽  
Hiromasa Yamamoto ◽  
Yuji Takagi

In this paper, the influence of machining parameter in the driven rotary cutting was examined by using finite element simulation. Three dimensional modeling of rotary cutting of Inconel 718 was conducted and then cutting force, temperature distribution of chip and tool, chip thickness and its flow direction were analyzed. Then, the effect of the tool rotation speed was mainly focused on. When peripheral speed of the rotating tool increased, resultant cutting force decreased and the chip flow direction inclined to the tool rotating direction. Then high temperature region of chip became large. It was also shown that tool temperature on the driven rotary cutting was lower than that of the conventional turning. FEM simulation results were compared with the experimental results. As a result, the resultant cutting force, chip flow direction and the tool temperature of the experimental results and the analysis results showed the same trend.


2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Qiang Fang ◽  
Ze-Min Pan ◽  
Bing Han ◽  
Shao-Hua Fei ◽  
Guan-Hua Xu ◽  
...  

Drilling carbon fiber reinforced plastics and titanium (CFRP/Ti) stacks is one of the most important activities in aircraft assembly. It is favorable to use different drilling parameters for each layer due to their dissimilar machining properties. However, large aircraft parts with changing profiles lead to variation of thickness along the profiles, which makes it challenging to adapt the cutting parameters for different materials being drilled. This paper proposes a force sensorless method based on cutting force observer for monitoring the thrust force and identifying the drilling material during the drilling process. The cutting force observer, which is the combination of an adaptive disturbance observer and friction force model, is used to estimate the thrust force. An in-process algorithm is developed to monitor the variation of the thrust force for detecting the stack interface between the CFRP and titanium materials. Robotic orbital drilling experiments have been conducted on CFRP/Ti stacks. The estimate error of the cutting force observer was less than 13%, and the stack interface was detected in 0.25 s (or 0.05 mm) before or after the tool transited it. The results show that the proposed method can successfully detect the CFRP/Ti stack interface for the cutting parameters adaptation.


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