• Title/Summary/Keyword: surface error

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Geometric error compensation of machine tools by geometry redesign (형상 재 설계에 의한 공작기계 기하오차 보정)

  • 서성교
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2000.04a
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    • pp.367-372
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    • 2000
  • Accuracy of a machined component is determined by the relative motion between the cutting tool and the workpiece. One of the important factors which affects the accuracy of this relative motion is the geometric error of machine tools. In this study, geometric error is modeled using form shaping motion of machine tool, where a form shaping function is derived from the homogeneous transformation matrix. Geometric errors are measured by laser interferometer. After that, the local positioning error can be estimated from the form shaping model and geometric error data base. From this information, we can remodel the part by shifting the design surface to the amount of positional error. By generating tool path to the redesigned surface, we can reduce the machining error.

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Inverse Offset Method for Adaptive Cutter Path Generation from Point-based Surface

  • Kayal, Prasenjit
    • International Journal of CAD/CAM
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    • v.7 no.1
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    • pp.21-30
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    • 2007
  • The inverse offset method (IOM) is widely used for generating cutter paths from the point-based surface where the surface is characterised by a set of surface points rather than parametric polynomial surface equations. In the IOM, cutter path planning is carried out by specifying the grid sizes, called the step-forward and step-interval distances respectively in the forward and transverse cutting directions. The step-forward distance causes the chordal deviation and the step-forward distance produces the cusp. The chordal deviation and cusp are also functions of local surface slopes and curvatures. As the slopes and curvatures vary over the surface, different step-forward and step-interval distances are appropriate in different areas for obtaining the machined surface accurately and efficiently. In this paper, the chordal deviation and cusp height are calculated in consideration with the surface slopes and curvatures, and their combined effect is used to estimate the machined surface error. An adaptive grid generation algorithm is proposed, which enables the IOM to generate cutter paths adaptively using different step-forward and step-interval distances in different regions rather than constant step-forward and step-interval distances for entire surface.

Error Compensation Algorithm for Higher Surface Accuracy of Freeform Mirrors Based On the Method of Least Squares

  • Jeong, Byeongjoon;Pak, Soojong;Kim, Sanghyuk;Lee, Kwang Jo;Chang, Seunghyuk;Kim, Geon Hee;Hyun, Sangwon;Jeon, Min Woo
    • The Bulletin of The Korean Astronomical Society
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    • v.40 no.2
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    • pp.40.1-40.1
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    • 2015
  • Off-axis reflective optical systems have attractive advantages relative to their on-axis or refractive counterparts, for example, zero chromatic aberration, no obstruction, and a wide field of view. For the efficient operation of off-axis reflective system, the surface accuracy of freeform mirrors should be higher than the order of wavelengths at which the reflective optical systems operate. Especially for applications in shorter wavelength regions, such as visible and ultraviolet, higher surface accuracy of freeform mirrors is required to minimize the light scattering. In this work, we propose the error compensation algorithm (ECA) for the correction of wavefront errors on freeform mirrors. The ECA converts a form error pattern into polynomial expression by fitting a least square method. The error pattern is measured by using an ultra-high accurate 3-D profilometer (UA3P, Panasonic Corp.). The measured data are fitted by two fitting models: Sag (Delta Z) data model and form (Z) data model. To evaluate fitting accuracy of these models, we compared the fitted error patterns with the measured error pattern.

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Robust Output Feedback Control Using a Servocompensator (서보보상기를 사용한 견실 출력귀환제어)

  • Lee, Ho-Jin;Lee, Keum-Won
    • Journal of the Institute of Convergence Signal Processing
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    • v.8 no.3
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    • pp.217-221
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    • 2007
  • This paper deals with the robust nonlinear controller design using output feedback for a Chua circuit which is one of the well-known nonlinear models. First, an exosystem for reference signal tracking is defined, and error dynamic equations are derived from the differentiation of the output tracking error equation. The normal sliding surface is modified using the integral type servo compensator. The parameters in the equations of the modified sliding surface and servo compensator are determined by using the Hurwitz condition of stability. Especially the error signals can't be obtained directly from the output because all parameters are assumed unknown. So instead, a high gain observer is designed. From this estimated error signals, a stabilizing controller is designed. Simulation is done for demonstrating the effectiveness of the suggested algorithm.

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Concentration Error Assessment by Comparison of Solar Flux Measurement and Modeling (집광 열유속 측정과 모델링의 비교를 통한 집광 오차 평가)

  • Chai, Kwan-Kyo;Yoon, Hwan-Ki;Lee, Hyun-Jin;Lee, Seong-Uk;Kim, Si-Seok
    • Journal of the Korean Solar Energy Society
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    • v.33 no.3
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    • pp.82-90
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    • 2013
  • Concentration errors critically affect the performance of solar concentrator, so their evaluation is important to the concentrated solar power technology. However, the evaluation is very challenging because error sources are various and not easy to measure individually. Therefore, the integrated effect of concentration errors is often more interesting and useful for large-scale applications. In the present work, we analytically investigate and classify various concentration error sources and then explain that the effect of various concentration errors can be represented in terms of a root mean square value of reflector surface slope error. We present an indirect approach to assessing the reflector surface slope error by comparing solar flux measurement data with modeling calculations. We apply the approach for solar furnaces with different thermal capacity and investigate its advantages and disadvantages.

A Study on the FCP Surface Error according to the Thickness of the Lower Silicone Plate (하부 실리콘 플레이트의 두께에 따른 FCP 표면 오차에 관한 연구)

  • Kim, Ji-Hye;Jeong, Kyeong-Tae;Lee, Donghoon
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2023.05a
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    • pp.31-32
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    • 2023
  • Recently, with the digitalization of the construction industry, free-form building construction technology is developing. However, the technology for manufacturing free-form concrete panels is still insufficient. In this study, the surface error of the FCP according to the thickness of the lower silicon plate, which is a component of the existing lower multi-point press, was analyzed in order to manufacture a precise FCP. As a result of the analysis, it was found that the thinner the thickness, the larger the error value. These results can be used as a basis for existing research and are expected to be used for research on high-quality FCP manufacturing technology.

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Novel Model Following Sliding Mode Controller with Virtual State (새로운 모델 추종 슬라이딩 모드 제어기)

  • Park, Seung-Kyu;Ok, In-Jo;Ahn, Ho-Kyun
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2669-2671
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    • 2000
  • In this paper, a new model error following sliding mode control is considered with a novel sliding surface for the error. This novel sliding surface has nominal dynamics of an original state of the error system and makes it possible that the Sliding Mode Control(SMC) technique for the error of the model following is used with the various types of controllers. Its design is based on the augmented system whose dynamics have a higher order than that of the original error system. The reaching phase is removed by using an initial virtual state which makes the initial error state sliding function equal to zero.

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Wheel curve generation error of aspheric grinding in parallel grinding method (비구면 평행연삭에서의 휠구면형상 창성오차)

  • Hwang Yeon;Kuriyagawa T.;Lee Sun-Kyu
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.10a
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    • pp.344-349
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    • 2005
  • This paper presents a geometrical error analysis of wheel curve generation method for micro aspheric surface machining using parallel grinding method. In aspheric grinding, wheel wear in process is crucial parameter for profile error of the ground surface. To decrease wheel weal parallel grinding method is adopted. Wheel and work piece (Tungsten carbide) contact point changes during machining process. In truing process of the wheel radius is determined by the angle and distance between wheel and truer. Wheel radius error is predominantly affected by vertical deviation between the wheel rotation center and the truer center Simulation for vertical error and wheel radius error shows same tendency that expected by geometrical analysis. Experimental results show that the analysis of curve generation method matches with simulations and wheel radius errors.

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Design of Stable Time-varying Sliding Mode System

  • Kim, Ga-Gue;Ma, Jin-Suk;Lim, Chae-Deok;Choi, Bong-Yeol
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.62.2-62
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    • 2001
  • In this paper, we present a new time-varying sliding mode system that guarantees stable error convergence. The previous papers have dealt with stability of the time-varying sliding mode system by point-wisely investigating the stability of time-invariant system every time. However, it may be unstable even though it guarantees time-invariant stability every time, We designed the time-varying sliding surface so that the resultant time-varying system on sliding mode may be Stable. The initial sliding surface is obtained so that shifting distance of the surface may be minimized with respect to an initial error, and the intercept is produced so that the surface may pass the initial error.

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Error Analysis of Free-Form Artifact using 3D Measurement Data (3차원 측정 데이터를 이용한 자유곡면 가공물의 오차해석)

  • 김성돈;이성근;양승한;이재종
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2001.04a
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    • pp.439-442
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    • 2001
  • The Accuracy of a free-form artifact is affected by machine tool errors, machining process errors, environmental causes and other uncertainty. This paper deals with methodological approach about machine tool errors that are defined the relationship between CMM and OMM inspections of the free-form artifact. In order to analyze the measurement data, Reverse engineering was used. In other words, Surface of Free-Form Artifact is generated by NURBS surface approximation method. Finally, Volumetric error map is made to compare surface of CMM data with that of OMM data.

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