• Journal of Korean Tunnelling and Underground Space Association
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• v.6 no.2
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• pp.113-128
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• 2004

To investigate major influencing factors on earth pressure acting on an arch-shaped cut and cover tunnel, Monte Carlo simulation based quantitative sensitivity analysis was carried out for mechanical properties of ground as well as excavation configuration-related design factors. From the sensitivity analysis, it was intended that effects of earth pressures from different influencing factors on a cut and cover tunnel should be numerically identified. Output factors used in the sensitivity analysis such as vertical and horizontal earth pressures at different tunnel positions were obtained from the finite element analysis. In this study, it was revealed that depending upon positions where horizontal as well as vertical earth pressures were acting, they were differently influenced by the same input factors. In addition, earth pressures acting an cut and cover tunnel depended mainly on the embankment at crown and the inclination of cut slope.

• Journal of the Korean Society for Aeronautical & Space Sciences
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• v.36 no.7
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• pp.634-641
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• 2008

Automatic Differentiation(AD) is a tool for generating sensitivities, such as gradient or Jacobian, automatically. AD tools provide mathematically exact sensitivities for the given source code. In this paper applications of automatic differentiation are studied. Derivative codes are generated with AD tools for structural analysis code and flow analysis code. How to apply AD tools is explained and the accuracy of sensitivities is compared with the finite difference. Sensitivities of generated derivative code accord well with finite difference, but the calculation time of derivative code increases. It was found that the calculation time can be decreased by additional modification of derivative code.

• Journal of the Korea institute for structural maintenance and inspection
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• v.19 no.3
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• pp.73-82
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• 2015

In evaluating lateral behavior on the seismic and wind load, the purpose of sensitivity analysis is to find critical variables and to identify characteristic response with variability of variables. The sensitivity analysis is very important in structural diagnosis, repair and reinforcement field. This study investigates the sensitivity by linear static analysis applying the TDA method in changing angles of diagrid braces on the same height structures. In case of mid rise model, under the seismic load, the brace member is determined as a major variable at $58^{\circ}$ but a high rise model, under the wind load, has the brace member as a major variable at $67.4^{\circ}$. In addition, location of critical sensitivity on the mid rise model is distributed over middle section, while it is distributed lower section on the high rise model.

• Transactions of the Korean Society of Mechanical Engineers A
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• v.35 no.2
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• pp.163-168
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• 2011

Robust optimization or reliability-based design optimization are some of the methodologies that are employed to take into account the uncertainties of a system at the design stage. For applying such methodologies to solve industrial problems, accurate and efficient methods for estimating statistical moments and failure probability are required, and further, the results of sensitivity analysis, which is needed for searching direction during the optimization process, should also be accurate. The aim of this study is to employ the function approximation moment method into the sensitivity analysis formulation, which is expressed as an integral form, to verify the accuracy of the sensitivity results, and to solve a typical problem of reliability-based design optimization. These results are compared with those of other moment methods, and the feasibility of the function approximation moment method is verified. The sensitivity analysis formula with integral form is the efficient formulation for evaluating sensitivity because any additional function calculation is not needed provided the failure probability or statistical moments are calculated.

• Proceedings of the KIEE Conference
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• 2006.10a
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• pp.59-60
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• 2006

원통형 PN접합의 Baliga의 해석적인 항복전압에 대한 근사식을 유도하였다. 근사식은 접합길이, $r_j$와 공핍층 깊이, $W_{pp}$의 비 ($r_i/W_{pp}$)가 0.1보다 작은 경우 Baliga식과 잘 일치하였다. 농도에 대한 원통형 접합의 항복전압의 민감도를 유도하였으며, 근사식을 사용한 경우가 Baliga식의 경우보다 민감도식이 더 간단하기 때문에, 민감도를 고려한 소자 설계 시 활용될 수 있으리라 기대된다. 민감도 식을 이용하여 설계한 결과 항복전압의 편차가 10% 이내로 제어하기 위해서는 도핑농도가 $10^{15}cm^{-3}$이고 접합깊이가 $5{\mu}m$ 인 원통형 접합인 경우 농도 편차가 12.8%이내 이어야한다.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.20 no.3
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• pp.339-345
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• 2007

In this paper, a variational formulation for plane elasticity problems is derived based on an isogeometric approach. The isogeometric analysis is an emerging methodology such that the basis functions for response analysis are generated directly from NURBS (Non-Uniform Rational B-Splines) geometry. Furthermore, the solution space for the response analysis can be represented in terms of the same functions to represent the geometry, which enables to provide a precise construction method of finite element model to exactly represent geometry using B-spline base functions in CAD geometric modeling and analyze arbitrarily shaped structures without re-meshing. In this paper, a continuum-based adjoint sensitivity analysis method using the isogeometric approach is extensively derived for the plane elasticity problems. The conventional shape optimization using the finite element method has some difficulties in the parameterization of geometry In the isogeometric analysis, however, the geometric properties are already embedded in the B-spline basis functions and control points so that it has potential capability to overcome the aforementioned difficulties. Through some numerical examples, the developed isogeometric sensitivity analysis method is verified to show excellent agreement with finite difference sensitivity.

• Proceedings of the Korea Water Resources Association Conference
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• 2021.06a
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• pp.339-339
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• 2021

XP-SWMM은 유역의 강우-유출과 1차원 관망 해석 및 2차원 지표면 흐름 해석이 가능하여 도시지역의 침수 모의에 활용도가 높다. 하지만 대부분의 수학적 모형이 그러하듯 XP-SWMM은 많은 입력 변수를 포함하고 있어 사용자의 숙련도에 따라 모의 결과가 달라질 수 있다. 본 연구의 목적은 XP-SWMM을 이용한 침수 모의의 정확도를 향상시키기 위해 침수 모의에 영향을 줄 수 있는 인자를 검토하고, 민감도 분석을 통해 인자별 적정 범위를 제안하는 것이다. 다만, 유역의 강우-유출과 1차원 관망 해석에 사용되는 매개변수는 과거 많은 연구자들이 적정 범위를 제시하였으므로 본 연구에서는 2차원 지표면 흐름 해석에 관한 입력 변수만을 대상으로 하였다. 이를 위해 2차원 계산의 지배방정식인 천수방정식의 매개변수 중 XP-SWMM에서 제어할 수 있는 인자와 XP-SWMM의 사용자 편의환경(graphical user interface; GUI)에서 제어 가능한 인자를 고려하였다. 선정된 인자는 지표면 조도계수, 2차원 계산 시간 간격, 2D 집수유량 계수, Smagorinsky 계수, Wet/dry 깊이이다. 제시된 인자들을 대상으로 침수흔적도의 침수 면적을 기준으로 민감도 분석을 수행하였고, 인자의 변화율을 침수 면적의 변화율로 변화시키는 조건수(condition number)를 활용하여 인자별 민감 여부를 분석하였다. 또한, 영향 인자 변화에 따른 침수 면적과 침수흔적도의 상대오차를 분석하여 영향 인자의 적정 범위를 제안하였다. 그 결과, 지표면 조도계수의 적정범위는 0.02~0.05, 2차원 계산 시간 간격은 0.1-3.5초, Smagorinsky 계수는 0.06~1.0, Wet/dry 깊이는 0.001~0.02 m인 것으로 나타났다. 본 연구는 XP-SWMM을 이용한 2차원 침수 모의에 활용될 수 있는 영향 인자와 적정 범위를 제안한 연구로서, 향후 XP-SWMM을 이용한 많은 침수분석에 참고자료로 활용될 수 있을 것으로 판단된다.

• Journal of Korea Water Resources Association
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• v.35 no.4 s.129
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• pp.385-395
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• 2002

A stochastic model using FOEA(First-Order Error-Analysis) and Monte Carlo Method is developed to predict water quality variation in a river. A sensitivity analysis using influential matrix is performed to determine the significant reaction coefficients. Also the BFGS (Broyden-Fletcher-Goldfarb-Shanno) optimization method is applied to estimate the optimal values of the major reaction coefficients. The developed stochastic model is applied to the real study reach and the results are agreed well with those of deterministic analysis. The process for analyzing the uncertainties of the discharge, water quality and reaction coefficients of headwater and tributaries is included in the model to estimate the influence on the water quality variation at downstream. The extents of contribution of the uncertainties influencing on the total uncertainty can be evaluated from the results of the model.

• Journal of the Korean Society for Nondestructive Testing
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• v.27 no.5
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• pp.398-408
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• 2007

For better evaluation of material thickness by using the reflection type pulsed eddy current method, various probe models are designed and their response signals, characteristics, and sensitivities to thickness variation are investigated by a numerical analysis method. Since the sensor needs to detect magnetic fields from eddy currents induced in a test material, not from the exciter coil, two types of models that are shielded by the combination of copper and ferrite and only by ferrite are considered. By studying response signals from these shielded probe models, the peak value and the zero crossing time are selected as useful signal features for the evaluation of material thickness. Investigation of sensitivities of these two features shows that the sensitivity of peak value is more useful than that of zero crossing time and that the probe shielded only by ferrite gives much better sensitivity to thickness variation.

• Proceedings of the Korean Geotechical Society Conference
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• 2009.03a
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• pp.759-767
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• 2009

Recently, there is a trend to introduce a reliability approach to the design of al large scale improvement of weak ground due to the uncertainty of the influence factors in the consolidation. Since the reliability analysis is not easily adopted to geotechnical engineers because of some difficulties in working up the theories, Duncan(2000) proposed a simplified method for using reliability method to goetechnical problems. In this study, the applicability of Duncan's simplified reliability approach is evaluated by comparing the traditional reliability results with Duncan's. In the sensitivity analysis, the two results were quite similar. However, the probability of failure showed an error range of 20~50% and further Duncan's approach could not make a distinction for the distribution of geotechnical random variables. The simplified reliability method seems to be used properly in preliminary design if it is used supplementary with the deterministic method.