An analytical index relating cutting force to axial depth of cut for cylindrical end mills

Author(s):  
Weijian Huang ◽  
Xi Li ◽  
Boxing Wang ◽  
Jihong Chen ◽  
Ji Zhou
2013 ◽  
Vol 718-720 ◽  
pp. 239-243
Author(s):  
Girma Seife Abebe ◽  
Ping Liu

Cutting force is a key factor influencing the machining deformation of weak rigidity work pieces. In order to reduce the machining deformation and improve the process precision and the surface quality, it is necessary to study the factors influencing the cutting force and build the regression model of cutting forces. This paper discusses the development of the first and second order models for predicting the cutting force produced in end-milling operation of modified manganese steel. The first and second order cutting force equations are developed using the response surface methodology (RSM) to study the effect of four input cutting parameters (cutting speed, feed rate, radial depth and axial depth of cut) on cutting force. The separate effect of individual input factors and the interaction between these factors are also investigated in this study. The received second order equation shows, based on the variance analysis, that the most influential input parameter was the feed rate followed by axial depth, and radial depth of cut. It was found that the interaction of feed with axial depth was extremely strong. In addition, the interactions of feed with radial depth; and feed rate with radial depth of cut were observed to be quite significant. The predictive models in this study are believed to produce values of the longitudinal component of the cutting force close to those readings recorded experimentally with a 95% confident interval.


1999 ◽  
Author(s):  
T. S. Lee ◽  
R. Farahati ◽  
Y. J. Lin

Abstract A comprehensive, 3D mathematical model of desired/optimal cutting force for end milling of free-form surfaces is proposed in this paper. The closed-form predictive model is developed based on a perceptive cutting approach resulting in a cutting force model having a comprehensive set of essential cutting parameters. In particular, the normal rake angle usually missing in most existing models of the same sort is included in the developed model. The model also enables quantitative analyses of the effect of any parameters on the cutting performance of the tool, providing a guideline to improving the tool performance. Since the axial depth of cut varies with time when milling sculptured surface parts, an innovative axial depth of cut estimation scheme is proposed for the generation of 3-D cutting forces. This estimation scheme improves the practicality of most existing predictive cutting force model for milling in which the major attention has been focused on planar milling surface generation. In addition, the proposed model takes the rake surface on the flute of mills as an osculating plane to yield 3-D cutting force expressions with only two steps. This approach greatly reduces the time-consuming mathematical work normally required for obtaining the cutting force expressions. A series of milling simulations for machining free-form parts under scenario cutting conditions have been performed to verify the effectiveness of the proposed cutting force model. The simulation results demonstrate accurate estimating capability of the proposed method for the axial depth of cut estimation. The cutting force responses from the simulation exhibit the same trends as what can be obtained using the empirical mechanic’s model referenced in the literature. Finally, through the simulation results it is also learned that designing a tool with a combination of different helix angles having cutting force signatures similar to that of the single helix angle counterparts is particularly advantageous.


1998 ◽  
Vol 120 (1) ◽  
pp. 68-75 ◽  
Author(s):  
S. N. Melkote ◽  
W. J. Endres

This paper presents a detailed mechanistic force analysis that includes size effect for slot milling operations. Existing studies of the milling process have modeled the slot end milling operation as a simple geometric extension of peripheral end milling models with constant values for the specific energies used to predict forces for a given cutter geometry and cutting conditions. This paper addresses the limitations of this approach for accurate predictions of the instantaneous cutting force variation, particularly for steady-state slotting with four-flute cutters. It is shown through a comparison of model simulations and experimental results that significantly improved predictions of the cutting force variation are obtained by properly accounting for the size effect in slotting. The dependence of the cutting force variation on axial depth of cut and helix angle is demonstrated. Practical implications of selecting helix angle and axial depth of cut based on the improved slot end milling model are also discussed. Modeling approaches other than the mechanistic approach considered here are also noted in this light.


2015 ◽  
Vol 667 ◽  
pp. 35-40
Author(s):  
Xiao Bin Cui ◽  
Jing Xia Guo ◽  
Xiao Yang Wang

For the purpose of acquiring thorough understanding of the characteristics of cutting force in high and ultra-high-speed face milling of hardened steel, experimental investigations on face milling of AISI H13 steel (46-47 HRC) are conducted in the present study. The cutting speed of 1400 m/min, at which relatively low cutting force and relatively low surface roughness can be obtained at the same time, is considered as a critical value for both mechanical load and surface finish. The Taguchi method is applied to investigate the effects of cutting parameters on cutting force in different speed ranges (below and above 1400 m/min). In different speed ranges, the contribution order of the cutting parameters for the resultant cutting force is the same, namely axial depth of cut, cutting speed and feed per tooth. However, the contributions of cutting speed and feed per tooth increase substantially as the cutting speed surpasses 1400 m/min. Within the range of cutting parameters used in the present study, the optimum cutting conditions for the cutting force are cutting speed 200 m/min, feed per tooth 0.02 mm/tooth and axial depth of cut 0.1 mm.


2019 ◽  
Vol 18 (01) ◽  
pp. 113-132
Author(s):  
Debajyoti Ray ◽  
Asit Baran Puri ◽  
Nagahanumaiah

Precision micro-component fabrication demands suitable manufacturing processes that ensure making of parts with good form and finish. Mechanical micro milling represents a flexible and powerful process that exhibits enhanced capability to create micro features. Bulk metallic glass (BMG) represents a young class of amorphous alloy material with superior mechanical and physical properties and finds appreciable micro scale applications like biomedical devices and implants, micro parts for sport items and various other micro- components. In the present work, an attempt has been made to analyze the influence of the cutting parameters like spindle speed, feed per tooth and axial depth of cut on the machinability of BMG, in mechanical micro-milling process. The micro-milling process performances have been evaluated concerning to cutting forces and surface roughness generated, by making full slots on the workpiece with solid carbide end mill cutters. The paper presents micro-machining results for bulk metallic glass machined with commercial micro-milling tool at low cutting velocity regime. Response surface methodology (RSM) has been employed for process modeling and subsequent analysis to study the influence of the combination of cutting parameters on responses within the selected domain of cutting parameters. It has been found that the effect of axial depth of cut on the cutting force components is remarkably significant. Cutting force components increases with the increase in axial depth of cut and decreases with increase in spindle speed. At low feed rate, cutting force in the feed direction (Fx, i.e., cutting force along x-direction) increases with a decrease in feed rate. This increase of force could be due to the possible ploughing effect. A similar pattern of variation has been observed with cutting force component in cross-feed direction (Fy) also. It has been found that effect of feed per tooth on the roughness parameter Ra is remarkably significant. Surface roughness increases with feed per tooth. Axial depth of cut does not contribute much to the surface roughness. Surface roughness decrease with the increase of spindle speed.


2014 ◽  
Vol 988 ◽  
pp. 296-299
Author(s):  
Xing Wei Zheng ◽  
Guo Fu Ying ◽  
Jia Lu ◽  
Ni Hong Yang ◽  
Yan Chen ◽  
...  

An experimental study on milling of Invar36 was conducted by using coated carbide insert to characterize the cutting force. The Taugchi's design of experiment was used for experimentation and the cutting force regression equation was established based on the principles of probability statistics and regression analysis. The results showed that the cutting force was significantly affected by the axial depth of cut and the feed per tooth, and with the increase of the axial depth of cut, the cutting force increased very quickly. Compared with the axial depth of cut, radial depth of cut and cutting speed had less influence on the cutting force. The established regression equation was highly reliable.


2012 ◽  
Vol 217-219 ◽  
pp. 2133-2137
Author(s):  
Bing Yan ◽  
Yang Li ◽  
Wei Wang ◽  
Hao Feng

The cutting tool geometry and cutting parameters have a great impact on cutting force, while cutting force is an important factor which affecting the tool life. High speed cutting experiments have shown that when slight axial depth of cut is adopted, rake angle effect on main cutting force significantly. When cutting aluminum alloy, the roughness of machined surface decrease with increasing tool rake angle. The axial depth of cut does not have a big influence on machined surface ’s roughness.


2011 ◽  
Vol 87 ◽  
pp. 223-229 ◽  
Author(s):  
Moola Mohan Reddy ◽  
Alexander Gorin ◽  
Khaled A. Abou-El-Hossein

Advanced ceramics are difficult to do machining due to brittle nature. High cutting forces will generate in the machining, which will affect the surface integrity of final product. Selection of proper machining parameters is important to obtain less cutting force. The present work deals with the study and development of a cutting force prediction model in end milling operation of Aluminum Nitride ceramic. The cutting force equation developed using Response Surface Methodology (RSM) to analyze the effect of Spindle speed, feed rate and axial depth of cut. The cutting tests were carried under dry condition using two flute square end micro grain carbide end mills.


2004 ◽  
Vol 471-472 ◽  
pp. 122-126 ◽  
Author(s):  
P.Q. Guo ◽  
Chuan Zhen Huang ◽  
Ping Zhao

This paper presents a model to predict the cutting forces for flat end milling as machining gear indexing cam. Rotation feeding makes axial depth of cut and uncut chip thickness change during cutting process. The development of the model is based on the analysis of cutting edge expression. According to the existing the relationship of the local cutting force and chip load and assuming the cutter to be divided into a number of differential elements in the axial direction of the cutter, the model is derived by summarising the cutting forces produced by each differential cutter disc engaged in the cut. The equation for calculating uncut chip thickness of differential disc is educed. In order to avoid the complex computing for axial depth of cut of the entire edge, a unit square window function and its criterion are introduced to estimate whether a segment of edge is in engaging range.


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