• Journal of applied mathematics & informatics
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• 제41권1호
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• pp.71-82
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• 2023

In this article, we find the approximate solutions of Abel differential equation (ADE) with uncertainty using residual power series (RPS) method. This method helps to calculate the sequence of solutions of ADE. Finally, numerical illustrations demonstrate the applicability of the method.

• 호남수학학술지
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• 제45권4호
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• pp.619-628
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• 2023

In this paper, the fractional order time-varying linear dynamical systems are investigated by using a residual power series method. A residual power series method (RPSM) is constructed for this problem. The exact solution is obtained by the Laplace transform method and the analytical solution is calculated via the residual power series method (RPSM). As an application, some examples are tested to show the accuracy and efficacy of the proposed methods. The obtained result showed that the proposed methods are effective and accurate for this type of problem.

• 한국소성가공학회:학술대회논문집
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• 한국소성가공학회 2005년도 추계학술대회 논문집
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• pp.418-422
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• 2005

In this study, the die design and die series on the surface residual stress of cold drawn eutectoid steel wire has been investigated. Test pieces were fabricated using die series with different mean and final reduction ratio. Surface residual stresses in the axial direction were measured by X-ray diffraction, Broker's 2-dimensional GADDS system. Results were compared with stress profiles which were calculated by 3D and 2D finite element simulation, Hibbitt's ABAQUS 6.4 program in Finite Element Analysis. By means of FEA method, optimal die shape considering delta-parameter were induced and applied in order to determine die sequence designs. Balance of the drawing stresses was also introduced to optimize die sequence.

• 소성∙가공
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• 제15권2호
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• pp.153-157
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• 2006

In this study, the die design and die series on the surface residual stress of cold drawn eutectoid steel wire have been investigated. Test pieces were fabricated using die series with different mean and final reduction ratios. Surface residual stresses in the axial direction were measured by X-ray diffraction, Bruker's 2-dimensional GADDS system. The results were compared with stress profiles that were calculated by 3D and 2D finite element simulations, ABAQUS 6.4 program in finite element analysis(FEA). By means of the FEA method, optimal die shape considering delta-parameter were induced and applied in order to determine die sequence designs. Balance of the drawing stresses was also introduced to optimize die sequence.

• 한국분말재료학회지
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• 제1권1호
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• pp.52-59
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• 1994

Since the coefficient of thermal expansion (CTE) of matrix phase is larger about 4 times than that of W particle in tungsten heavy alloy, the thermal stresses due to the CTE difference between the two phases are induced in the alloy during heating and cooling processes. In the present study, a series of W heavy alloy containing various W particle volumes of 0 to 90% is made to investigate the residual stress taking place during cooling process. The CTE and residual stress of the series of alloy are measured by dilatometer and X-ray diffractometer. The residual stress of W particle is in compressive stress irrespective of W particle vol% and tends to increase with decreasing W particle vol% while that of the matrix phase is in tensile stress. The measured residual stress of W particle is about a third of calculated thermal stress. The influence of W particle vol% on the residual stress of W heavy alloy is discussed in terms of the deformation behaviors of W particle and matrix phase.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제22권4호
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• pp.289-294
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• 2018

In this work, a recently developed semi-analytic technique, so called the residual power series method, is generalized to process higher-dimensional linear and nonlinear partial differential equations. The solutions obtained takes a form of an infinite power series which can, in turn, be expressed in a closed exact form. The results reveal that the proposed generalization is very effective, convenient and simple. This is achieved by handling the (m+1)-dimensional Burgers equation.

• 전기전자학회논문지
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• 제24권4호
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• pp.1011-1016
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• 2020

We propose a framework called Stacked Gated Recurrent Unit - Infrequent Residual Analysis (SG-IRA) that detects anomalies in time-series data that can be trained on streams of raw sensor data without any pre-labeled dataset. To enable such unsupervised learning, SG-IRA includes an estimation model that uses a stacked Gated Recurrent Unit (GRU) structure and an analysis method that detects anomalies based on the difference between the estimated value and the actual measurement (residual). SG-IRA's residual analysis method dynamically adapts the detection threshold from the population using frequency analysis, unlike the baseline model that relies on a constant threshold. In this paper, SG-IRA is evaluated using the industrial control systems (ICS) datasets. SG-IRA improves the detection performance (F1 score) by 5.9% compared to the baseline model.

• 한국습지학회지
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• 제21권1호
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• pp.66-76
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• 2019

기후변화로 인해 홍수나 가뭄과 같은 자연재난이 빈번하게 발생하고 있고, 이로 인한 피해 또한 커지고 있다. 습지는 이러한 피해를 저감하고 최소화하는데 중요한 역할을 하고 있는 것으로 알려져 있다. 특히, 자연재난으로 인한 피해 저감 뿐만 아니라 습지의 다양한 기능을 이해하기 위해서는 수위의 변동성을 분석할 필요가 있다. 따라서 본 연구에서는 경상남도 창녕군에 위치한 우포늪의 수위 자료에 적합한 시계열 모형을 도출하고 모형의 적절성을 확인하기 위해 잔차 분석을 수행하였다. 즉, ARIMA 모형을 구축하였고, 잔차 분석을 위해 기존의 비모수 통계기법, BDS 통계기법 및 CRH(Close Returns Histogram)를 통한 결과들을 비교 분석하였다. 특히, 본 연구에서는 시계열 모형의 잔차 분석을 위해 CRH의 적용 가능성을 제시하고자 하였다. 분석 결과, CRH는 정확한 무작위성 검정 결과를 도출하였을 뿐만 아니라 다른 방법들에 비해서 단순한 계산과정을 통해 쉽게 결과를 얻을 수 있었다. 따라서 시계열 모형의 잔차 분석을 위해 BDS 통계기법 뿐만 아니라 CRH를 이용한다면 보다 효과적인 분석을 할 수 있을 것으로 판단된다.

• 한국지반공학회논문집
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• 제23권6호
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• pp.85-95
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• 2007

본 연구에서는 버티칼 드레인으로 개량된 점성토 지반의 잔류침하 예측법을 제안하기 위하여 모델지반에 대해 탄-점성 압밀이론을 이용한 일련의 수치해석을 행하였다. 그리고 수치해석을 통하여 정규압밀영역에 대해 유효반경비, 압밀압력의 영향과 버티칼 드레인에 의한 3차원압밀에 있어서의 잔류침하를 감소시키기 위한 과압밀영역에서의 과압밀비의 영향을 조사하였다. 또한, 모델지반의 수치해석결과에 기초하여 버티칼 드레인 타설지반의 잔류침하 예측법과 잔류침하를 허용치 이내로 제어하기 위해 필요한 과압밀비의 결정법을 제안하였다.

• 소성∙가공
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• 제17권7호
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• pp.496-500
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• 2008

Plastics is commonly used in consumer electronics because of it is high strength per unit mass and good productivity. But plastic parts are usually distorted after injection molding due to the residual stress after filling, packing, cooling process, and etc. And plastic material is to be deteriorated according to various temperature conditions and operating time, which can be characterized by stress relaxation and creep. The viscoelastic behavior of plastic materials in time domain can be expressed by the Prony series of the commercial code, ABAQUS. In the paper, the process to predict the post deformation under cyclic thermal loadings was suggested. The process was applied to the real panel, and the deformation predicted by the analysis was compared with that of real test, which showed the possibility of applying the suggested process to predict the post deformation of plastic product under thermal loadings.