• Title/Summary/Keyword: Cutting Trajectories

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Development of Excitation Table for 2-dimensional Vibrational Micro Cutting (2차원 진동 미세가공을 위한 가진테이블 개발)

  • Kim, Gi-Dae;Lee, Kang-Hee
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.11 no.3
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    • pp.62-67
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    • 2012
  • To realize 2-dimensional vibrational micro cutting in milling and drilling, etc. where the tools rotate, it could be a promising way to vibrate a workpiece instead of a rotating tool itself. In this study, an excitation work-table was developed using two piezoelectric materials orthogonally arranged. The trochoidal trajectory of a cutting tool which is necessary for 2D vibrational cutting is enabled in the excitation condition of higher excitation frequency and larger amplitude of vibration and the cutting condition of smaller diameter of cutting tool and lower spindle speed. The various trochoidal trajectories of a cutting tool could be generated in the excitation work-table by adjusting the input voltages to two piezoelectric materials and the phase between the two voltages and the trajectories could be readily used for the 2D vibrational micro cutting.

Two-dimensional Chip-load Analysis for Automatic Feedrate Adjustment (이송률 자동조정을 위한 2차원 칩로드 해석)

  • 배석형;고기훈;최병규
    • Korean Journal of Computational Design and Engineering
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    • v.5 no.2
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    • pp.155-167
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    • 2000
  • To be presented is two-dimensional chip-load analysis for cutting-load smoothing which is needed in unmanned machining and high speed machining of sculptured surfaces. Cutter-engagement angle and effective cutting depth are defined as chip-loads which are the geometrical measures corresponding to cutting-load while machining. The extreme values of chip-loads are geometrically derived in the line-line and line-arc-line blocks of the two-dimensional NC-codes. AFA(automatic feedrate adjustment) strategy for cutting-load smoothing is presented based on the chip-load trajectories.

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An Effective Tangential Cutting Algorithm for Rapid Prototyping

  • Kong, Yong-Hae;Chun, In-Cook;Ahn, Deog-Sang
    • Proceedings of the IEEK Conference
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    • 2002.07a
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    • pp.168-171
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    • 2002
  • For laser-cutting rapid prototyping systems that fabricate objects with layers having a certain degree of thickness, it is necessary both to minimize surface distortion and to generate dynamically feasible laser cutting trajectories. An effective tangential layer cutting algorithm is developed for this requirements. An energy function is defined in terms of tangential line lengths and their distances. And the energy is minimized for the tangential lines to closely describe a layer suffice. Our method is applied to 3D model samples and the generated tangential lines effectively approximate layer surface and make laser trajectory smooth.

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A Simulated Annealing Tangential Cutting Algorithm for Lamination Rapid Prototyping System (적층 쾌속조형 시스템을 위한 시뮬레이티드 어닐링 경사절단 알고리즘)

  • 김명숙;엄태준;김승우;천인국;공용해
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.53 no.4
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    • pp.226-234
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    • 2004
  • A rapid Prototyping system that laser-cuts and laminates thick layers can fabricate 3D objects promptly with a variety of materials. Building such a system must consider the surface distortions due to both vertical-cut layers and triangular surfaces. We developed a tangential layer-cutting algorithm by rearranging tangential lines such that they reconstruct 3D surfaces more closely and also constitute smoother laser trajectories. An energy function that reflects the surface-closeness with the tangential lines was formulated and then the energy was minimized by a gradient descent method. Since this simple method tends to cause many local minima for complex 3D objects, we tried to solve this problem by adding a simulated annealing process to the proposed method. To view and manipulate 3D objects, we also implemented a 3D visual environment. Under this environment, experiments on various 3D objects showed that our algorithm effectively approximates 3D surfaces and makes laser-trajectory feasibly smooth.

Determination of stress state in chip formation zone by central slip-line field

  • Andrey Toropov;Ko, Sung-Lim
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2003.06a
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    • pp.577-580
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    • 2003
  • Stress state of chip formation zone is one of the main problems in metal cutting mechanics. In two-dimensional case this process is usually considered as consistent shears of work material along single of several shear surfaces. separating chip from workpiece. These shear planes are assumed to be trajectories of maximum shear stress forming corresponding slip-line field. This paper suggests new approach to the constriction of slip-line field, which Implies uniform compression in chip formation zone. On the base of given model it has been found that imaginary shear line in orthogonal cutting is close to the trajectory of maximum normal stress and the problem about its determination have been considered. It has been shown that there is a second central slip-line field inside chip, which corresponds well to experimental data about stress distribution on tool rake face and tool-chip contact length. The suggested model could be useful in solution of various problems of machining.

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Online Trajectory Planning for a PUMA Robot

  • Kang, Chul-Goo
    • International Journal of Precision Engineering and Manufacturing
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    • v.8 no.4
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    • pp.16-21
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    • 2007
  • Robotic applications, such as automatic fish cutting, require online trajectory planning because the material properties of the object, such as the bone or flesh conditions, are not known in advance. Different trajectories are required when the material properties vary. An effective online trajectory-planning algorithm is proposed using quaternions to determine the position and orientation of a robot manipulator with a spherical wrist. Quaternions are free of representation singularities and permit computationally efficient orientation interpolations. To prevent singular configurations, the exact locations of the kinematic singularities of the PUMA 560 manipulator are derived and geometrically illustrated when a forearm offset exists and the third link length is not zero.

Analysis of the Characteristic Lines on Geometrical Texture by Ball end Milling (볼엔드밀 가공면의 기하학적 특징선 해석)

  • Jung, Tae-Sung;Choi, In-Hugh;Yang, Min-Yang
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.1148-1153
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    • 2003
  • An adequate method for the prediction of machining errors is essential to improve productivity and product quality. But it is known that there is a remarkable difference between values calculated by conventional roughness model and measured values of actual machined surfaces under high efficient cutting condition. This paper introduces the theoretical analysis of characteristic lines of cut remainder to evaluate a geometrical surface roughness accurately. In this study, analytic equations of the characteristic lines are derived from the surface generation mechanism of ball end milling considering the actual trochoidal trajectories of cutting edges. The predicted results are compared with the results of conventional roughness model.

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Determination of stress state in formation zone by central slip-line field chip

  • Toropov Andrey;Ko Sung Lim
    • International Journal of Precision Engineering and Manufacturing
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    • v.6 no.3
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    • pp.24-28
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    • 2005
  • Stress state of chip formation zone is one of the main problems in metal cutting mechanics. In two-dimensional case this process is usually considered as consistent shears of work material along one of several shear surfaces, separating chip from workpiece. These shear planes are assumed to be trajectories of maximum shear stress forming corresponding slip-line field. This paper suggests a new approach to the constriction of slip-line field, which implies uniform compression in chip formation zone. Based on the given model it has been found that imaginary shear line in orthogonal cutting is close to the trajectory of maximum normal stress and the problem about its determination has been considered as well. It has been shown that there is a second central slip-line field inside chip, which corresponds well to experimental data about stress distribution on tool rake face and tool-chip contact length. The suggested model would be useful in understanding mechanistic problems in machining.

A Study on the Influence of Nonlinearity Coefficients in Air-Bearing Spindle Parametric Vibration

  • Chernopyatov, Y.A.;Lee, C.M.;Chung, W.J.;Dolotov, K.S.
    • International Journal of Precision Engineering and Manufacturing
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    • v.6 no.1
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    • pp.51-58
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    • 2005
  • The development of the high-efficiency machine-tools equipment and new cutting tool materials with high hardness, heat- and wear-resistance has opened the way to application of high-speed cutting process. The basic argument of using of high-speed cutting processes is the reduction of time and the respective increase of machining productivity. In this sense, the spindle units may be regarded as one of the most important units, directly affecting many parameters of high-speed machining efficiency. One of the possible types of spindle units for high-speed cutting is the air-bearing type. In this paper, we propose the mathematical model of the dynamic behavior of the air-bearing spindle. To provide the high-level of speed capacity and spindle rotation accuracy we need the adequate model of "spindle-bearings" system. This model should consider characteristics of the interactions between system components and environment. To find the working characteristics of spindle unit we should derive the equations of spindle axis movement under the affecting factors, and solve these equations together with equations which describe the behavior of lubricant layer in bearing (bearing stiffness equations). In this paper, the three influence coefficients are introduced, which describe the center of spindle mass displacement, angle of shaft rotation around the axes under the unit force application and that under the unit torque application. These coefficients are operated in the system of differential equations, which describes the spindle axis spatial movement. This system is solved by Runge-Kutta method. Obtained trajectories and amplitude-frequency characteristics were then compared to experimental ones. The analysis shows good agreement between theoretical and experimental results, which confirms that the proposed model of air-bearing spindle is correctis correct