• 대한수학회지
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• 제44권3호
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• pp.585-603
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• 2007

The author studies the local $H\ddot{o}lder$ convergence of the solution to an evolution equation of p-Ginzburg-Landau type, to the heat flow of the p-harmonic map, when the parameter tends to zero. The convergence is derived by establishing a uniform gradient estimation for the solution of the regularized equation.

• 한국철도학회:학술대회논문집
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• 한국철도학회 2005년도 추계학술대회 논문집
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• pp.418-423
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• 2005

In designing underground structure such as tunnels, estimating geotechnical characteristics of the ground is one of the most important and difficult tasks. In this paper, a methodology that can identify geotechnical parameters using only field-measured relative convergence displacements is presented. By using only relative convergence measurement data, inevitable errors in absolute convergence estimation can be avoided and in turn the parameter estimation process can be simplified. The methodology utilizes sensitivity relationship between static displacement measurements and geotechnical parameters. The feasibility and applicability of the proposed methodology is verified via a 3-d numerical example of a tunnel structure.

• 융합정보논문지
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• 제7권3호
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• pp.73-81
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• 2017

일반화된 허프변환(GHough)은 임의의 2차원 모델 추출을 위해 사용되는 유용한 기법이다. 그러나 GHough는 모델의 회전과 축척 관련 사전 정보가 없을 경우 모든 경우의 수를 나열하는 변환 방식을 택하기 때문에 4차원 패러미터 배열이라는 방대한 메모리 사용이 불가피하며 실행시간 또한 오래 걸릴 수밖에 없다. 이를 개선하기 위해 제안된 몇몇 n-to-1 변환 방식 들은 4차원 대신 2차원 패러미터 배열 사용만으로도 임의의 모델 추출을 가능케 한 반면 2차원 패러미터 공간에 던져지는 무작위 투표 때문에 모델 추출 오류 가능성 또한 높다 하겠다. 본 논문은 이와 같은 2차원 패러미터 공간에 던져지는 무작위 투표를 감소시키기 위한 방안으로 모델 내부의 추가적인 그레디언트 정보 활용을 제안하며 모델 윤곽선 정보에 추가로 모델 내부 그레디언트 정보를 활용할 경우 2차원 패러미터 공간에 던져지는 무작위 투표수를 효과적으로 줄일 수 있으며 따라서 실행시간 또한 단축될 수 있음을 실험을 통해 입증한다.

• 융합정보논문지
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• 제9권8호
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• pp.20-26
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• 2019

본 연구에서는 무한고장 NHPP 로맥스 수명분포의 형상모수 변화에 따른 소프트웨어 신뢰성 모형의 속성을 새롭게 분석한 후 최적의 형상모수 조건을 제시하였다. 소프트웨어 고장현상을 분석하기 위하여 모수추정은 최우추정법을 사용하였고, 비선형 방정식의 계산은 이분법을 적용하였다. 그 결과, 형상모수(k)의 변화에 따른 속성을 비교하였을 때 형상모수가 작을 수록 참값에 대한 예측능력이 우수하고, 신뢰 속성이 효율적임을 알 수 있었다. 본 연구를 통하여, 소프트웨어 개발자들은 형상모수에 근거한 소프트웨어 고장형태를 사전에 파악함으로서 신뢰도를 성장시킬 수 가 있으며, 또한, 소프트웨어의 신뢰속성을 향상시키는데 필요한 기본정보로 활용할 수 있을 것으로 기대한다.

• Computers and Concrete
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• 제34권3호
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• pp.307-328
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• 2024

The concrete damage plasticity (CDP) model is widely used to simulate concrete behaviour using either implicit or explicit analysis methods. To effectively execute the models and resolve convergence issues in implicit analysis, activating the viscosity parameter of this material model is a common practice. Despite the frequent application of implicit analysis to analyse concrete structures with the CDP model, the viscosity parameter significantly varies among available models and lacks consistency. The adjustment of the viscosity parameter at the element/structural level disregards its indirect impact on the material. Therefore, the accuracy of the numerical model is confined to the validated range and might not hold true for other values, often explored in parametric studies subsequent to validations. To address these challenges and develop a unified numerical model for varied conditions, a quasi-static analysis using the explicit solver was conducted in this study. Fifteen thick flat plates tested under load control with different geometries and different eccentric loads were considered to verify the accuracy of the model. The study first investigated various concrete material behaviours under compression and tension as well as the concrete tensile strength to identify the most reliable models from previous methodologies. The study compared the results using both implicit and explicit analysis. It was found that, in implicit analysis, the viscosity parameter should be as low as 0.0001 to avoid affecting material properties. However, at the structural level, the optimum value may need adjustment between 0.00001 to 0.0001 with changing geometries and loading type. This observation raises concerns about further parametric study if the specific value of the viscosity parameter is used. Additionally, activating the viscosity parameter in load control simulations confirmed its inability to capture the peak load. Conversely, the unified explicit model accurately simulated the behaviour of the test specimens under varying geometries, load eccentricities, and column sizes. This study recommends restricting implicit solutions to the viscosity values proposed in this research. Alternatively, for highly nonlinear problems under load control simulation, explicit analysis stands as an effective approach, ensuring unified parameters across a wide range of applications without convergence problems.

• 대한수학회지
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• 제54권2호
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• pp.461-477
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• 2017

A dual substructuring method with a penalty term was introduced in the previous works by the authors, which is a variant of the FETI-DP method. The proposed method imposes the continuity not only by using Lagrange multipliers but also by adding a penalty term which consists of a positive penalty parameter ${\eta}$ and a measure of the jump across the interface. Due to the penalty term, the proposed iterative method has a better convergence property than the standard FETI-DP method in the sense that the condition number of the resulting dual problem is bounded by a constant independent of the subdomain size and the mesh size. In this paper, a further study for a dual iterative substructuring method with a penalty term is discussed in terms of its convergence analysis. We provide an improved estimate of the condition number which shows the relationship between the condition number and ${\eta}$ as well as a close spectral connection of the proposed method with the FETI-DP method. As a result, a choice of a moderately small penalty parameter is guaranteed.

• 한국산업융합학회 논문집
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• 제24권6_2호
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• pp.819-825
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• 2021

In the industry, the use of lightweight bearings is increasing to minimize motor power loss, and in particular, the application of next-generation systems such as robots and drones is increasing. Bearing manufacturers are producing lightweight bearings by changing the bearing material, but related researches is insufficient. In this paper, life test and structural analysis were performed for lightweight bearings, and shape parameters and scale parameters were derived based on the life test results. It was confirmed that the shape parameter was 2.52 and the scale parameter was 164 hours. As a result of calculating the dynamic load rating based on the B₁₀ life, it was confirmed that the dynamic load rating of the lightweight bearing was 7% compared to the formula suggested by ISO 281. The reason is that the material of the retainer, which is a major failure part, is a polyamide 66 series that reacts sensitively to heat, so It is judged to show a lot of difference from the ISO 281 calculation formula.

• 대한수학회지
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• 제52권3호
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• pp.503-522
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• 2015

In this paper, we consider the problem of testing for a parameter change in nonlinear time series models with GARCH type errors. We introduce two types of cumulative sum (CUSUM) tests: estimates-based and residual-based tests. It is shown that under regularity conditions, their limiting null distributions are the sup of independent Brownian bridges. A simulation study is conducted for illustration.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제4권1호
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• pp.11-22
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• 2000

Nonhysteretic infiltration in nonswelling soil is modelled by the Burgers equation under appropriate physical conditions. For this nonlinear partial differential equation the modal approximation scheme is used for estimating parameters such as soil water diffusivity and hydraulic conductivity. The parameter estimation convergence is proved, and numerical experiments are performed.

• Journal of the Korean Data and Information Science Society
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• 제10권2호
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• pp.465-472
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• 1999

We considered a bootstrap method for constructing confidenc intervals for a one parameter model using multinomial sampling. The convergence rates or the proposed bootstrap method are calculated for model-based maximum likelihood estimators(MLE) using multinomial sampling. Monte Carlo simulation was used to compare the performance of bootstrap methods with normal approximations in terms of the average coverage probability criterion.