• Title/Summary/Keyword: Dynamic Cutting Force Model

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채터 진동에서의 동적 절삭력의 모델링과 안정성 해석

  • 강명창;김정석
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1992.04a
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    • pp.28-32
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    • 1992
  • The elimination of chatter vibration is necessary to improve the precision and the productivity of the cutting operation. A new mathematical model of chatter vibration is pressented in order to predict dynamic cutting force from static cutting data. Chatter vibration occurring in the tool structure of lathe is treated theoretically, considering the regenerative effect. The Stability Analysis is carried out by a two degress of freedom system. The dynamic cutting force is analytically expressed by the static cutting coefficient and the dynamic cutting coeccicient which can be determined from the cutting mechanics. The static cutting coefficient controls high speed chatter stability, while the dynamic cutting coefficient dominates low chatter stability. From above considerations, the cirtical width of cut which governs chatter stability was obtained.

A Study on the Instantaneous Shear Plane Based Cutting Force Model for End Milling (엔드밀링에서 순간전단면을 이용한 절삭력 모델 연구)

  • Hong, Min-Sung
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.11 no.4
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    • pp.34-43
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    • 2002
  • The purpose of this paper is to further extend the theoretical understanding of the dynamic end milling process and to derive a computational model to predict the milling force components. A comparative assessment of different cutting force models is performed to demonstrate that the instantaneous shear plane based formulation is physically sound and offers the best agreement with experimental results. The procedure f3r the calculation of the model parameters used in the cutting force model, based on experimental data, has been presented. The validity of the proposed computational model has been experimentally verified through a series of cutting tests.

Cutting Force Measuring System Using the Load Cell for a Milling Process (로드셀을 이용한 밀링 가공시의 절삭력 측정시스템)

  • Kang, E. G.;Park, S. J.;Lee, S. J.;Kwon, H. D.
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.6
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    • pp.133-140
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    • 2001
  • This paper suggests another system for a cutting force measuring tool in a milling process. Generally, tool dynamometer is taken into account for the most appropriate cutting force measuring tool in the analysis of cutting mechanism. However, high price and limited space make it difficult to be in-situ system for controllable milling process. Although an alternative method using AC current of servo-motor has been suggested, it is unsuitable for cutting force control because of small upper frequency limit and noise. The cutting force measuring system is composed of two load cells placed between the moving table bracket and the nut flange part of ballscrew. It has many advantages such as low cost and wide range measurement than tool dynamometer because of the built-in moving table and the low cost load cell. The static and dynamic model of the measuring system using imbeded load cell is introduced. Various Experiments are carried out to validate both models. By comparing the cutting forces from a series of end milling experiments on the tool dynamometer and the system developed in this paper, the accuracy of the cutting force measuring system is verified. Upper frequency limit is measured by the experiment of dynamic characteristics.

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Prediction of Surface Topography by Dynamic Model in High Speed End Milling (고속 엔드밀 가공시 동적 모델에 의한 표면형상 예측)

  • Lee, Gi-Yong;Ha, Geon-Ho;Gang, Myeong-Chang;Lee, Deuk-U;Kim, Jeong-Seok
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.7 s.178
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    • pp.1681-1688
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    • 2000
  • A dynamic model for the prediction of surface topography in high speed end milling process is developed. In this model the effect of tool runout, tool deflection and spindle vibration were taken in to account. An equivalent diameter of end mill is obtained by finite element method and tool deflection experiment. A modal parameter of machine tool is extracted by using frequency response function. The tool deflection, spindle vibration chip thickness and cutting force were calculated in dynamic cutting condition. The tooth pass is calculated at the current angular position for each point of contact between the tool and the workpiece. The new dynamic model for surface predition are compared with several investigated model. It is shown that new dynamic model is more effective to predict surface topography than other suggested models. In high speed end milling, the tool vibration has more effect on surface topography than the tool deflection.

A Study on the Instantaneous Shear Plane Based Cutting Force Model for End Milling (밀링 작업에서 순간 전단면에 기초한 절삭력 모델에 관한 연구)

  • 홍민성
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2002.04a
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    • pp.225-260
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    • 2002
  • The purpose of this paper is to further extend the theoretical understanding of the dynamic end milling process and to derive a computational model to predict the milling force components. A comparative assessment of different cutting force models is performed to demonstrate that the instantaneous shear plane based formulation is physically sound and offers the best agreement with experimental results. The procedure for the calculation of the model parameters used in the cutting force model, based on experimental data, has been presented. The validity of the proposed computational model has been experimentally verified through a series of cutting tests.

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Cutting Force Control of Turning Process Using Fuzzy Theory (퍼지이론을 이용한 선삭의 절삭력제어)

  • 노상현;정선환;김교형
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.1
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    • pp.113-120
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    • 1994
  • The dynamic characteristics of turning processes are complex, non-linear and time-varying. Consequently, the conventional techniques based on crisp mathematical model may not guarantee cutting force regulation. This paper presents a fuzzy controller which can regulate cutting force in turning process under varying cutting conditions. The fuzzy control rules are extablished from operator experience and expert knowledge about the process dynamics. Regulation which increases productivity and tool life is achieved by adjusting feedrate according to the variation of cutting conditions. The performance of the proposed controller is evaluated by cutting experiments in the converted conventional lathe. The results of experiments show that the proposed fuzzy controller has a good cutting force regulation capability in spite of the variation of cutting conditions.

A Study on the Detection of Cutter Runout Magnitude in Milling (밀링가공에서의 커더 런 아웃량 검출에 관한 연구)

  • Hwang, J.;Chung, E. S.;Lee, K. Y.;Shin, S. C.;Nam-Gung, S.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.151-156
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    • 1995
  • This paper presents a methodology for real-time detecting and identifying the runout geometry of an end mill. Cutter runout is a common but undesirable phenomenon in multi-tooth machining such as end-milling process because it introduces variable chip loading to insert which results in a accelerated tool wear,amplification of force variation and hence enlargement vibration amplitude. Form understanding of chip load change kinematics, the analytical sutting force model was formulated as the angular domain convolution of three dynamic cutting force component functions. By virtue of the convolution integration property, the frequency domain expression of the total cutting forces can be given as the algebraic multiplication of the Fourier transforms of the local cutting forces and the chip width density of the cutter. Experimental study are presented to validata the analytical model. This study provides the in-process monitoring and compensation of dynamic cutter runout to improve machining tolerance tolerance and surface quality for industriql application.

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Vibration Prediction in Milling Process by Using Neural Network (신경회로망을 이용한 밀링 공정의 진동 예측)

  • 이신영
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.12 no.5
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    • pp.1-7
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    • 2003
  • In order to predict vibrations occurred during end-milling processes, the cutting dynamics was modelled by using neural network and combined with structural dynamics by considering dynamic cutting state. Specific cutting force constants of the cutting dynamics model were obtained by averaging cutting forces. Tool diameter, cutting speed, fled, axial and radial depth of cut were considered as machining factors in neural network model of cutting dynamics. Cutting farces by test and by neural network simulation were compared and the vibration displacement during end-milling was simulated.

Stability Analysis in Transient Cut during Endmilling (엔드밀링가공시 과도 영역에서의 안정성 평가)

  • Kang, Seok-Jae;Cho, Dong-Woo
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.3
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    • pp.195-204
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    • 2001
  • Virtual computer numerical control(VCNC) arises from the concept that one can experience pseudo-real machining with a computer-numerically-controlled(CNC) machine before actually cutting an object. To achieve accurate VCNC, it is important to determine abnormal behavior, such as chatter, before cutting. Detecting chatter requires an understanding of the dynamic cutting force model. In general, the cutting process is a closed loop system that consists of structural and cutting dynamics. Machining instability, namely chatter, results from the interaction between these two dynamics. Several previous reports have predicted stability for a single path, using a simple cutting force model without tool runout and penetration effects. This study considers both tool runout and penetration effects, using experimental modal analysis, to obtain more accurate predictions. The machining stability in the corner cut, which is a typical transient cut, was assessed from an evaluation of the cutting configurations at the corner.

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Analyses of structural dynamic characteristics and end milling in a vertical machining center (금형 가공기의 엔드밀 가공 및 구조 동특성 해석)

  • 이신영;김성걸;이장무
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.3
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    • pp.66-74
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    • 1997
  • In a high speed and high precision vertical machining center, chatter vibration is easily generated due to unbalanced masses in rotating parts and changtes of cutting forces. In this paper, modal test is performed to obtain modal parameters of the vertical machining center. In order to predit the cutting force of endmilling process for various cutting conditions, a mathematical model is given and this model is based on chip load, cutting geometry, and relationship between cutting forces and the chip load. Specific cutting constants of the model are obtained by averaging forces of cutting tests. The interactions between the dy- namic characteristics and cutting dynamics of the vertical machining center make the primary and the secondary feedback loops, and we make use of the equations of system to predict the chatter vibration. The chatter prediction is formulated as linear differential-differene equations, and simulated for several cases. Trends of vibration as radial and axial depths of cut are changed are shown and compared.

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