• 한국안광학회지
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• 제16권3호
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• pp.283-291
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• 2011

목적: 지수감소곡선을 이용하여 착색렌즈에서의 착색시간과 시감투과율 사이의 관계를 대표할 수 있는 실험적 맞춤곡선(empirical fitting curve)을 도출한다. 방법: CR-39 렌즈와 6가지 색상의 염료를 이용하여 총 90개의 착색렌즈를 제조하였고, 실험적 맞춤곡선을 구하기 위한 시험곡선(trial curve)으로서 단일(single), 2중(double) 및 3중(triple) 지수감소곡선(exponential decay curve)을 이용한다. 결과: 최적의 실험적 맞춤곡선은 3중 지수감속곡선인 것으로 밝혀졌다. 결론: 착색시간에 따른 시감투과율의 변화를 대표하는 적절한 실험적 맞춤곡선으로서 3중 지수감소곡선을 제안한다.

• 대한토목학회논문집
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• 제30권5A호
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• pp.425-431
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• 2010

2가지 이상의 재료로 구성된 다상(multi-phase) 재료는 상 분포에 따라 재료 특성이 다르기 때문에, 상 분포를 묘사할 수 있는 적절한 방법이 필요하다. 본 연구에서는 확률 분포 함수 two-point correlation function과 lineal-path function을 사용하여 재료 내부의 상 분포 상태를 확률적으로 묘사하였다. 수치 계산 방법으로 계산되는 확률 분포 함수를 3개의 매개 변수를 사용한 곡선 접합(curve fitting)을 이용하여 수식으로 표현하고, 적용성을 살펴보기 위하여 2상 합금 미세구조 가상 시편과 지반 모델 시편을 사용하였다. 이를 통해, 확률 분포 함수는 곡선 접합을 이용하여 지수 형태의 수식으로 표현이 가능하며, 이는 시편의 RVE로서의 활용 가능성을 판단하는데 사용될 수 있음을 확인하였다.

• 대한핵의학회지
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• 제39권4호
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• pp.257-262
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• 2005

목적 : 위배출신티그래피는 일반적으로 15분 간격으로 2시간 동안 촬영된다. 본 연구는 수학적 함수를 이용하여 90분까지 얻은 위잔류율 측정치를 가지고 비선형 곡선을 구한 후, 120분의 위잔류율을 예측함으로써 90분 이후의 지연영상 촬영시간을 절약할 수 있는지에 대하여 알아보았다. 대상 및 방법 : 환자들은 74 MBq (2 mCi) Tc-99m DTPA가 들어 있는 계란찜을 섭취한 직후 촬영을 시행하였다. 환자들을 반위배출시간에 따라 두 군으로 나누어 후향적으로 연구하였다. Group I은 반위배출시간이 90분 이하($T_{1/2}\;{\leq}90\;min$)인 51명(남자 21명, 여자: 30명, 평균나이: $44.6{\pm}13.5$세)이었고, Group II는 90분 초과 120분 이하($90\;min)인 45명(남자: 15, 여자:30, 평균나이 $45.6{\pm}15.9$)이었다. 0, 15, 30, 45, 60, 75, 90분에서의 위잔류율을 측정하여 비선형 곡선인 단순지수함수, power exponential function, modified power exponential function을 구하였고, 또한 50, 75, 90분의 측정치로 후기 단순지수함수를 구하였다($MATLAB^{\circledR}$ 5.3). 얻어진 함수식을 통해 120분에서의 위잔류율 예측치를 구한 후, 120분 측정치와의 상관관계를 알아보았다. ($MedCalc^{\circledR}$ 6.0). 결과: 120분 위잔류율의 측정치와 예측치의 상관계수(r)는 각각의 함수식에 따라 다음과 같다; 단순지수함수 (Group I: 0.8858, Group II: 0.5982, p<0.0001), power exponential function (Group I: 0.8755, Group II: 0.6008, p<0.0001), modified power exponential function (Group I: 0.8892, Group II: 0.5882, p<0.0001), 후기 단순지수함수 (Group I:0.9085, Group II:0.6832, p<0.0001). Group I에서만 함수식 모두에서 측정치와 예측치 간에 통계학적으로 의미있게 강한 상관관계를 보였다. 각 상관계수 간에 유의한 차이는 없었으나 후기지수함수식이 다른 함수식에 비하여 변수(parameter)와 입력될 측정치의 개수가 적어 예측치를 구하기가 간편하였다. 결론: 반위배출 시간이 90분 이하인 경우에 120분에서의 위잔류율을 예측할 수 있어 90분 이후의 촬영시간을 절약할 수 있다. 또한, 후기지수함수식이 다른 함수식에 비하여 예측치를 구하기가 간편하므로 임상적으로 더 유용하다.

• 대한기계학회논문집B
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• 제29권9호
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• pp.1022-1031
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• 2005

Temporal behavior of the laser induced incandescence (LII) signal is often used for soot particle sizing, which is possible because the cooling behavior of a laser heated particle is dependent on the particle size. In present study, LII signals of soot particles are modeled using two non-linear coupled differential equations deduced from the energy- and mass-balance of the process. The objective of this study is to obtain an appropriate calibration curve for determining primary particle size by comparing the gated signal ratio and double-exponential curve fitting methods. Not only the effects of laser fluence and gas temperature on the cooling behavior but also heat transfer mechanisms of heated soot particle have been investigated. The second-order exponential curve fitting showed better agreements with the LII signals than the gated signal ratio method which was based on the lust-order exponential curve fit. And the temporal decay rate of the LII signal and primary particle size showed nearly linear relationship, which was little dependent on the laser fluence. And it also could be reconfirmed that vaporization was dominant process of heat loss during first loons after laser pulse, then heat conduction played most important role while thermal radiation had little influence all the time.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2000년도 춘계학술대회논문집B
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• pp.252-257
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• 2000

An efficient method is developed for mold thermal cycle analysis in repeated forming process, which is well suited to the analysis in TV glass production. plunger, which is a mold to press-form the glass, undergoes temperature fluctuation during a cycle due to the repeated contact and separation from the glass, which attains a cyclic steady state in the end. If analyzed straightforwardly of this problem, it leads to more than 80 cycles to get reasonable solution, and it is yet hard to setup stopping creteria due to extremely slow convergence. An exponential fitting method is proposed to solve the problem, where an exponential function is found to best approximate temperature values of 3 consecutive cycles, and new cycle is restarted with the function value at infinite time. From numerical implementation, it is found that the method reduces the number of cycles dramatically to only $6{\sim}15$ cycles to reach accurate solution within $1^{\circ}$ error. A system for the analysis is contructed, in which the thermal analysis is performed by commercial software ANSYS, and the fitting of the result is done by IMSL library.

• 품질경영학회지
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• 제25권3호
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• pp.96-107
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• 1997

The recent stream to reliability prediction is that it is totally inclusive in depth to consider even the operating and environmental condition at the level of finished goods as well as component itselves. In this study, firstly we present the reliability prediction methods by entire failure rate model which failure rate at the system level is added to the failure rate model at the component level. Secondly we build up the improved bases of reliability demonstration through a, pp.ication of Kaplan-Meier, Cumulative hazard, Johnson's methods as non-parametric and Maximum Likelihood Estimator under exponential & Weibull distribution as parametric. And also present the methods of curve fitting to piecewise failure rate under Weibull distribution, PRST (Probability Ratio Sequential Test), curve fitting to S-shaped reliability growth curve, computer programs of each methods. Lastly we show the practical for determination of optimal burn-in time as a method of reliability enhancement, and also verify the practical usefulness of the above study through the a, pp.ication of failure and test data during 1 year.

• 한국전자파학회논문지
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• 제22권10호
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• pp.1020-1023
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• 2011

본 논문에서는 반복 복호 후 얻게 되는 LLR(Log Likelihood Ratio)로 표현되는 연판정 비트 정보를 이용하여 송신된 BRGC(Binary Reflected Gray Code) M-QAM(M-ary Quadrature Amplitude Modulation) 신호 심벌을 remapping하는 방법을 제시한다. Remapping하기 위해서는 지수함수(exponential function)연산이나 하이퍼블릭 탄젠트(tanh) 함수를 이용하여야 한다. BRGC의 맵핑 법칙에 의해 심벌 remapping은 재귀(recursive) 연산을 이용한다. 또한, 구현 복잡도를 줄이기 위하여 curve fitting 방식을 제안한다.

• 한국지반공학회:학술대회논문집
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• 한국지반공학회 2006년도 춘계 학술발표회 논문집
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• pp.1326-1333
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• 2006

Purpose of this research is a development for the curve fitted equations that can improve practical calculation and work application when seismic performance has been evaluated and this work has been made a study of the dynamic response under various boundary conditions of buried pipelines to compare the dynamic behavior of concrete pipe and steel pipe, FRP pipe. This research have been developed curve fitted equations that can be improving efficiency and practicality. Using a nonlinear least square method, and after testing several different exponential equations, Proposed the curve fitted equations to give the best result and constant value by the propagation velocities. With these results, dynamic response analysis and seismic performance evaluation have been achieved on concrete pipe, steel pipe and FRP pipe that have a various boundary conditions. Degree of a polynomial expression and coefficient value by propagation velocity have been calculated when using the curve fitting equations.

• 상하수도학회지
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• 제16권6호
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• pp.710-716
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• 2002

A General Pipe Break Prediction Model that incorporates linear and exponential models in its form is developed. The model is capable of fitting pipe break trends that have linear, exponential or in between of linear and exponential trend by using a weighting factor. The weighting factor is adjusted to obtain a best model that minimizes the sum of squared errors of the model. The model essentially plots a best curve (or a line) passing through "cumulative number of pipe breaks" versus "break times since installation of a pipe" data points. Therefore, it prevents over-predicting future number of pipe breaks compared to the conventional exponential model. The optimal replacement time equation is derived by using the Threshold Break Rate equation by Loganathan et al. (2002).

• 대한기계학회:학술대회논문집
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• 대한기계학회 2000년도 추계학술대회논문집B
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• pp.192-198
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• 2000

Three dimensional thermal cycle analysis of the plunger is carried out in repeated forming process of the TV glass, which is continued work of two dimensional analysis where an efficient method has been proposed. The plunger undergoes temperature fluctuation during a cycle due to the repeated contact and separation from the glass, which attains a cyclic steady state having same temperature history at every cycle. Straightforward analysis of this problem brings about more than 90 cycles to get reasonable solution. An exponential function fitting method is proposed, which finds exponential function to best approximate temperature values of 3 consecutive cycles, and new cycle is restarted with the fitted value at infinite time. Number of cases are analyzed using the proposed method and compared to the result of straightforward repetition, from which one finds that the method always reaches nearly convergent solution within $9{\sim}12$ cycles, but turns around afterwards without further convergence. Two step use is found most efficient, in which the exponential fitting is carried out fer the first 12 cycles, followed by simple repetition, which shows fast convergence expending only 6 additional cycles to get the accuracy within 2 error. This reduces the computation cycle remarkably from 90 to 18, which is 80% reduction. From the parametric studies, one reveals that the overall thermal behavior of the plunger in terms of cooling parameters and time is similar to that of 2 dimensional analysis.