• 한국생산제조학회지
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• 제21권2호
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• pp.208-213
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• 2012

In this paper, the radial error of a rotary table at five-axis machine tool is evaluated by utilizing ISO 230-2 and estimation method using double ball-bar. The geometric error of a rotary table is defined as position dependent geometric errors or position independent geometric errors according to their physical character. Then estimation method of geometric errors using double ball-bar is simply summarized including measurement path, parametric modeling and least squares approach. To estimate representative radial error, offset error, set-up error which affect to the double ball-bar data, mean value of measured data including CCW/CW-direction are used at estimation process. Radial errors are separated from measured data and used for evaluation with ISO 230-2. Finally, suggested evaluation method is applied to a rotary table at five-axis machine tool and its result is analyzed to improve the accuracy of the rotary table.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2009년도 추계학술대회 논문집
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• pp.11-12
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• 2009

• 한국생산제조학회지
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• 제8권3호
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• pp.15-22
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• 1999

In this study, a machining error estimation system far vertical lathes with structural deformation and geometric errors, is realized based on the virtual manufacturing technologies. The positional and directional errors of cutting tool are determined by considering the geometric errors and dimensions of machine components and by introducing the equilibrium condition between the cutting force and structural deformation. Especially, the machining errors of vertical lathes are estimated by using the prescribed cutting test(JIS B 6331). The system can be implemented to evaluate the machining accuracies of vertical lathes at the design process and to design the high precision vertical lathes.

• 한국공작기계학회:학술대회논문집
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• 한국공작기계학회 1998년도 추계학술대회 논문집
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• pp.146-151
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• 1998

In this study, a machining error estimation system for vertical lathes with structural deformation and geometric errors, is realized based on the virtual manufacturing technologies. The positional and directional errors of cutting tool are determined by considering the geometric errors and dimensions of machine components and by introducing the equilibrium condition between the cutting force and structural deformation. specially, the machining errors of vertical lathes are estimated by using the prescribed cutting test(JIS B 6331). The system can be implemented to evaluate the machining accuracies of vertical lathes at the design process and to design the high precision vertical lathes.

• 대한기계학회논문집A
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• 제27권2호
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• pp.262-267
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• 2003

Error of the geometric series expansion method for the structural sensitivity analysis is estimated. Although the semi-analytic method has several advantages, accuracy of the method prevents it from practical application. One of the promising remedies is the use of geometric series formula for the matrix inversion. Its result of the sensitivity analysis converges that of the global difference method which is known as reliable one. To reduce computational efforts and to obtain reliable results, it is important to know how many terms need to expand. In this paper, the error formula is presented and Its usefulness is illustrated through numerical experiments.

• 컴퓨터교육학회논문지
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• 제9권1호
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• pp.89-95
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• 2006

컴퓨터그래픽스에서 다루어지는 3차원 물체들에 대한 곡률과 같은 기하학적 특성들은 메쉬의 모양을 해석함에 있어 매우 중요한 역할을 한다. 부드러운 곡면에서 정의되는 곡률은 메쉬와 같은 이산적 형태에서는 수학적으로 정의할 수 없다. 그러므로 이러한 이산곡률을 어떻게 정의하느냐에 따라 기하학적 연산들의 결과는 많은 영향을 받는다. 본 논문에서는 기존의 곡률 계산법에서 사용하고 있는 단면곡률 계산법의 오류를 지적하고 이에 대한 해결책으로 베이지어 곡선을 이용한 포물선-기반 이산 곡률 계산법을 제시한다. 제안된 방법을 통하면 보다 뾰족한 형태의 정점과 완만한 형태의 정점을 구분할 수 있어서 메쉬 간략화와 같은 기하학적 연산에 쉽게 적용가능하다.

• 한국정밀공학회지
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• 제27권11호
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• pp.98-105
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• 2010

In this paper, double ball-bar is used to estimate the geometric errors of a rotary table, which includes one-axial motion, two-radial motions and two-tilt motions, except the angular positioning error. To simplify the measurement procedures, three measurement steps have been designed and developed. At each measurement step, one end of the double ball-bar is fixed at the nose of spindle and the other end is located on the rotary table. And specific circular test path is planned to keep the distance between two balls as constant at ideal case. The relationship including the geometric errors of a rotary table and the measured distance between two balls which is distorted by the geometric errors is defined by using ball-bar equation. Each geometric error is modeled as $4^{th}$ order polynomial considering $C^1$-continuity. Finally the coefficients of polynomial are calculated by least-square method. Simulation is done to check the validation of the suggested method considering set-up errors and measurement noise. Suggested method is applied to estimate geometric errors of a rotary table of a 5-axis machine tool.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2009년도 추계학술대회 논문집
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• pp.581-582
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• 2009

• 한국생산제조학회지
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• 제23권1호
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• pp.1-6
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• 2014

This paper describes a method of estimating and evaluating the volumetric errors of multi-axis machine tools. The estimation method is based on a generic model that was developed from conventional kinematic error models for the geometric and thermal errors to help predict the volumetric error easily in various configurations. To demonstrate the advantages of the model, an application in the early stages of a five-axis machine tool design is presented as an example. The model was experimentally evaluated for a four-axis machine tool by using the data from ISO230-6 and R-test measurements to compare the estimated and measured volumetric errors.

• 한국강구조학회 논문집
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• 제19권3호
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• pp.313-321
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• 2007

본 연구에서는 공용 중인 현수교에서 측량된 데이터를 이용하여 현수교의 형상오차 원인을 추정하는 방법을 제시하였다. 주케이블의 여러 점에서 측량된 데이터와 설계시의 형상과의 차이를 형상오차로 정의하고, 현수교의 형상오차 원인으로 보강형 자중의 변동과 지반의 크리프로 인한 앵커리지 기초의 변형으로 가정하였다. 보강형 자중의 변동 및 앵커리지 기초의 변형에 대한 현수교 구조계의 영향행렬을 이용하여 주케이블의 형상오차를 유발한 자중의 변동량 및 기초의 변형량을 추정하였다. 공용 중인 광안대교를 대상으로 본 기법의 타당성을 검토한 후 실제 측량 데이터를 이용하여 동 교량의 형상오차 원인 분석에 적용하였다.