• Journal of Welding and Joining
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• 제25권2호
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• pp.70-75
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• 2007

Simplified mathematical formulas are presented to predict deformations during the plate forming process when the heating parameters are given. To obtain the formulas, firstly, the thermal analysis for steel plate is performed, and the thermo-mechanical analysis is followed with actual heating conditions. The analyses have been carried out by the commercial software MARC, which is programmed based on the FEM. Secondary, the results of the mechanical analysis are synthesized with their variables for a statistical approach, which results in simplified formulas. The results of the analysis are well compared with those of experimental measurements.

• 대한조선학회논문집
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• 제49권6호
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• pp.534-540
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• 2012

The global performance of various ships estimated by simplified formulae of classification societies is compared with the numerical results by a strip-theory-based whipping analysis program including slamming impact(USLAM). Heave acceleration, pitch angle and the vertical acceleration are compared and the effectiveness of simplified formulae is evaluated. Four different ship models are used for comparison study, which include S175, Flokstra, 6000TEU and 8100TEU container ships. In order to verify the numerical results, the vertical bending moment of S175 is compared with the results of ITTC workshop data.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2004년도 춘계학술대회 논문집 전기설비전문위원
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• pp.207-209
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• 2004

저압간선의 굵기산정시 일반적으로 간이 계산식이 사용되고 있으나 이는 교류 임피던스를 적용한 정식과는 허용 전압강하를 기준으로한 포설거리에서 차이가 있으므로 저압간선의 설계시 보다 정확한 계산을 위해 교류 임피던스를 기준으로한 정식을 사용하여 계산이 이루어져야 한다. 따라서, 본 논문에서는 정식과 간이식에 따른 계산결과와 실측을 통한 전압강하를 비교하여 정확한 전압강하 계산법을 검토하여 보았다.

• East Asian mathematical journal
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• 제37권1호
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• pp.79-85
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• 2021

In this paper, we investigate the valuation of vulnerable exchange option that has credit risk of option issuer. The reduced-form model is used to model credit risk. We assume that credit event is determined by the jump of the counting process with stochastic intensity, which follows the mean reverting process. We propose a simple approach to derive the closed-form pricing formula of vulnerable exchange option under the reduced-form model and provide the pricing formula as the standard normal cumulative function.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제22권2호
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• pp.101-113
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• 2018

The dual singular function method(DSFM) is a numerical algorithm to get optimal solution including corner singularities for Poisson and Helmholtz equations. In this paper, we apply DSFM to solve heat equation which is a time dependent problem. Since the DSFM for heat equation is based on DSFM for Helmholtz equation, it also need to use Sherman-Morrison formula. This formula requires linear solver n + 1 times for elliptic problems on a domain including n reentrant corners. However, the DSFM for heat equation needs to pay only linear solver once per each time iteration to standard numerical method and perform optimal numerical accuracy for corner singularity problems. Because the Sherman-Morrison formula is rather complicated to apply computation, we introduce a simplified formula by reanalyzing the Sherman-Morrison method.

• 한국전산구조공학회논문집
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• 제27권5호
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• pp.459-467
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• 2014

ILM 교량은 압출되는 동안 상부의 단면이 지간의 중앙부와 지점부를 모두 통과한다. 따라서 발생되는 최대 정모멘트 및 최대 부모멘트를 효과적으로 제어하기 위해서 압출추진코를 이용한다. 이 연구에서는 압출중 상부구조물에 발생하는 휨모멘트를 계산할 수 있는 다이아프램이 고려된 단순 해석식을 개발하였다. 또한 다이아프램이 고려된 압출추진코의 최적설계조건에 관하여 분석하였다. 단순 해석식을 MIDAS Civil과 비교한 결과 대부분의 경우 0.5%이하의 오차를 가지는 정확성을 확인하였다. 다이아프램의 영향을 고려했을 경우와 고려하지 않았을 경우 사례교량에서 최대 13%의 휨모멘트 차이를 보였다. 또한, 단순 해석식에 적용시킬 등가 등단면의 단위중량 및 평균강성값을 결정할 수 있는 기준을 제시하였다. 이 연구에서는 ILM 교량의 압출중 역학특성으로 인하여 부모멘트 최소화 조건만을 사용하는 것이 압출추진코 최적설계를 위한 효과적인 방법으로 판단하였다.

• 한국전산구조공학회논문집
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• 제25권3호
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• pp.245-258
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• 2012

압출공법(incremental launching method)은 교대 배후에 거더 제작장소를 설치하고, 콘크리트를 이어쳐서 교량거더를 제작하고, 이것을 잭(jack)으로 밀어내는 가설방법이다. 이 공법에 의해 시공되는 교량의 상부단면은 시공 중에 지간의 중앙부와 지점부에 일시적이나마 모두 위치하게 된다. 따라서 단면들은 자중에 의해 발생되는 최대 정모멘트와 최대 부모멘트, 그리고 최대 전단력을 모두 경험하게 되는 구조적 특성을 가지고 있다. 한편 거더의 캔틸레버 작용을 감소시키기 위하여 거더의 선단에 압출추진코(launching nose)를 부착시킨다. 이때 상부단면에 발생하는 일시적인 응력의 크기는 압출추진코의 단면특성에 따라 달라진다. 이 연구에서는 압출추진코와 상부단면의 상호작용에 관한 해석식의 정확성을 유지하고, 활용도를 높이기 위해서 압출추진코를 유사등단면(강성;등단면, 중량;변단면)으로 가정하여 단순화된 해석식을 제안하였고, 압출추진코의 단면이 등단면으로 가정한 기존 해석식의 정확성을 향상시키기 위해서 다이아프램의 중량을 집중하중으로 치환시켜 변형된 등단면 해석식을 제안하였다. 그리고 제안된 2개의 해석식의 정확성과 활용성을 판단하기 위해 실제 ILM 교량 설계자료들을 통해 전산구조해석 프로그램과, 기존 해석식들과 비교 분석하였다.

• Wind and Structures
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• 제8권1호
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• pp.1-12
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• 2005

A simplified analysis able to point out the most relevant geometrical and aerodynamic parameters that can influence the flutter of long span modern bridges is the aim of the paper. With this goal, by using a continuous model of the suspension bridge and by a quasi stationary approach, a simple formula of the combined vertical/torsional flutter wind speed is given. A good agreement is obtained comparing the predictions from the proposed formula with the flutter speeds of three modern suspension or cable stayed bridges: the Great Belt East Bridge, the Akashi and Normandie bridges. The paper ends with some comments and comparisons with the well known Selberg formula.

• 전자공학회논문지S
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• 제35S권4호
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• pp.105-117
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• 1998

In this paper, the general formula of disparity estimation based on Bayesian Maximum A Posteriori (MAP) algorithm is derived and implemented with simplified probabilistic models. The probabilistic models are independence and similarity among the neighboring disparities in the configuration.The formula is the generalized probabilistic diffusion equation based on Bayesian model, and can be implemented into the some different forms corresponding to the probabilistic models in the disparity neighborhood system or configuration. And, we proposed new probabilistic models in order to simplify the joint probability distribution of disparities in the configuration. According to the experimental results, the proposed algorithm outperformed the other ones, such as sum of swuared difference(SSD) based algorithm and Scharstein's method. We canconclude that the derived formular generalizes the probabilistic diffusion based on Bayesian MAP algorithm for disparity estimation, and the propsoed probabilistic models are reasonable and approximate the pure joint probability distribution very well with decreasing the computations to 0.01% of the generalized formula.

• 해양환경안전학회지
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• 제21권3호
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• pp.297-302
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• 2015

To prevent cargo accidents by repeated loads, a continuous monitoring for securing rope or additional safety measures are needed, but most of prevention measures have been conducted only by operator's own experience not a quantitative assessment. Hence, the Load-Displacement curve and approximation formula of securing rope were drawn in this research for a quantitative assessment and simplified measurement on a tension of securing rope using a tensiometer. Moreover, a com parison was conducted between m easuring tension and calculated tension on securing rope with portable tensiometer, 'Load-Displacement' approximation formula. The calculated tension of securing rope is obtained 153.3kfg using the formula and that result has not much difference with initial tension 150.0kgf. Lastly, an analysis of the characteristics of various ropes was suggested to enhance the reliability about quantitative assessment of securing rope's tension through further research.