• Title/Summary/Keyword: 오차 민감도 해석

Search Result 105, Processing Time 0.026 seconds

반응표면법과 Monte Carlo 모사를 이용한 불확실한 변동의 강건설계를 위한 확률적 민감도의 제안

  • 백석흠;이경영;조석수;주원식
    • Proceedings of the Korean Society of Precision Engineering Conference
    • /
    • 2004.05a
    • /
    • pp.89-89
    • /
    • 2004
  • 결정적인 알고리즘과 입력정보의 사용은 평가된 해석과 실제 시스템 값과의 차이로 잘못된 결론을 이끌지도 모른다. 실제 시스템은 대부분 각각의 입력 매개변수들(input parameters)과 관계된 넓은 공차 영역(tolerance band)을 가지고 있어서 입력정보로 하나의 단일한 값을 할당하는 것이 어렵다. 단일 입력에 대한 한가지 해는 변동의 이해 없이 제한된 값이라는 것을 인식할 필요가 있는데 대개 결정론적 설계는 형상과 관련된 치수변동, 항복강도나 부재의 밀도, 탄성계수와 같은 재료 물성치의 불확실성(uncertainty)과 시스템에 작용하는 하중의 변동 등을 직접 고려하지 않고 설계를 수행하기 때문에 수용할 수 있는 오차의 범위 안에서 시스템의 응답을 정확히 평가하기가 쉽지 않았다.(중략)

  • PDF

Measurement of Geometric Errors of an Ultra Precision mMT Using PSDs (PSD를 이용한 초정밀소형공작기계의 기하학적 오차 측정)

  • Kwon, Seol-Ryung;Kweon, Sung-Hwan;Yang, Seung-Han
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.35 no.1
    • /
    • pp.53-58
    • /
    • 2011
  • Ultra-precision miniaturized machine tools essential for manufacturing accurate machine components in micro/meso-scale have been developed. To realize high accuracy using mMTs, geometric errors, which are considered as the main sources of inaccuracy should be identified and compensated. The conventional systems for measuring geometric errors, such as a laser interferometer, can measure only one geometric error in a single setup and they involve complicated measurement procedures. A measurement system using PSDs is a promising alternative but the measurable range of such systems is limited to the active range of the PSDs. The proposed measurement system using PSDs can overcome the limit of small measurable range. Further, the mounting errors that could occur during set-up process can be avoided. In this paper, an algorithm corresponding to the system was analyzed and experiments were carried out.

Modified grid-based KIneMatic wave STOrm Runoff Model (ModKIMSTORM) (격자기반의 운동파 강우유출모형 KIMSTORM의 개선)

  • Jung, In-Kyun;Shin, Hyung-Jin;Park, Jin-Hyeog;Kim, Seong-Joon
    • Proceedings of the Korea Water Resources Association Conference
    • /
    • 2008.05a
    • /
    • pp.254-258
    • /
    • 2008
  • 본 연구는 격자기반 운동파 강우유출모형 KIMSTORM(grid-based KIneMatic wave STOrm Runoff Model)의 기능을 개선하고 적용성을 평가하는 것이다. KIMSTORM은 김성준(1998)이 개발한 분포형 강우유출모형으로 포화상태의 지표흐름 및 토양수분상태의 시공간적인 분포를 파악할 수 있다. UNIX C++ 언어로 개발되었으며, GRASS 형태의 ASCII Grid를 입출력하도록 구성되어 있는 모형으로 UNIX 운영체제에서 구동이 가능하다. 그러나 UNIX와 GRASS는 최근에 많이 이용되지 않는 추세로 KIMSTORM 모형을 이용한 홍수유출해석이 적극적으로 활용되는데 주요 제약사항이 되어 왔다. 본 연구에서는 KIMSTORM을 윈도우즈 환경에서 운영될 수 있도록 FORTRAN 90을 이용하여 재개발하였으며 주요개선 사항으로, ESRI ASCII Grid 형태의 GIS(geographic information system) 자료 입력, 물리적 침투모의 방법인 GAML (Green-Ampt and Mein- Larson) 적용, 공간강우 입력가능, 정렬 알고리즘을 이용한 계산속도의 개선, 모형 자료입력 등 전처리 기능개선, 계산결과의 자동평가 및 분포도출력 등 후처리 방식개선으로 요약할 수 있다. 개선된 모형 GAML에 의한 침투방법을 적용하여, 남강댐유역($2,293\;km^2$)의 6개 강우사상을 대상으로 결정계수, Nash & Sutcliffe 모형효율계수, 용적편차, 첨두유량의 상대오차, 첨두시간의 절대오차를 이용하여 적용성을 평가하였으며, 민감도분석결과 초기토양수분조건과 하천조도계수가 가장 큰 민감도를 나타내었다.

  • PDF

Runoff Analysis of Urban Drainage Using DR3M-II (DR3M-II를 이용한 도시배수유역의 유출해석)

  • Min, Sang-Gi;Lee, Kil-Choon
    • Journal of Korea Water Resources Association
    • /
    • v.38 no.9 s.158
    • /
    • pp.699-711
    • /
    • 2005
  • In this study, the U.S. Geological Survey's DR3M-II(Distributed Routing Rainfall-Runoff Model) was applied for small urban drainage. DR3M-II is a watershed model for routing storm runoff through a branched system of pipes and natural channels using rainfall input. The model was calibrated and verified using short term rainfall-runoff data collected from Sanbon basin. Also, the parameters were optimized using Rosenbrock technic. An estimated simulation error for peak discharge was about 7.4 percent and the result was quite acceptable. Results of the sensitivity analysis indicate that the percent of effective impervious area and ${\alpha}$ defining surface slope and roughness were the most sensitive variables affecting runoff volumes and peak discharge for low and high intensity storm respectively. In most cases, soil moisture accounting and infiltration parameters are the variables that give more effects to runoff volumes than peak discharge. Parameter ${\alpha}$ showed the opposite result.

Reliability-based Design Optimization using Multiplicative Decomposition Method (곱분해기법을 이용한 신뢰성 기반 최적설계)

  • Kim, Tae-Kyun;Lee, Tae-Hee
    • Journal of the Computational Structural Engineering Institute of Korea
    • /
    • v.22 no.4
    • /
    • pp.299-306
    • /
    • 2009
  • Design optimization is a method to find optimum point which minimizes the objective function while satisfying design constraints. The conventional optimization does not consider the uncertainty originated from modeling or manufacturing process, so optimum point often locates on the boundaries of constraints. Reliability based design optimization includes optimization technique and reliability analysis that calculates the reliability of the system. Reliability analysis can be classified into simulation method, fast probability integration method, and moment-based reliability method. In most generally used MPP based reliability analysis, which is one of fast probability integration method, if many MPP points exist, cost and numerical error can increase in the process of transforming constraints into standard normal distribution space. In this paper, multiplicative decomposition method is used as a reliability analysis for RBDO, and sensitivity analysis is performed to apply gradient based optimization algorithm. To illustrate whole process of RBDO mathematical and engineering examples are illustrated.

Error Estimation for the Semi-Analytic Design Sensitivity Using the Geometric Series Expansion Method (기하급수 전개법을 이용한 준해석 민감도의 오차 분석)

  • Dan, Ho-Jin;Lee, Byung-Chai
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.27 no.2
    • /
    • pp.262-267
    • /
    • 2003
  • Error of the geometric series expansion method for the structural sensitivity analysis is estimated. Although the semi-analytic method has several advantages, accuracy of the method prevents it from practical application. One of the promising remedies is the use of geometric series formula for the matrix inversion. Its result of the sensitivity analysis converges that of the global difference method which is known as reliable one. To reduce computational efforts and to obtain reliable results, it is important to know how many terms need to expand. In this paper, the error formula is presented and Its usefulness is illustrated through numerical experiments.

Numerical Modeling Study for Groundwater Flow at Chun-Mi Creek, JeJu Island (제주도 천미천 유역의 지하수위 변동 수치모의)

  • Choi, Jung-Hyun;Park, Hwa-Jun;Kim, Won-Il;Ho, Jung-Seok;Ahn, Won-Sik
    • Proceedings of the Korea Water Resources Association Conference
    • /
    • 2007.05a
    • /
    • pp.702-706
    • /
    • 2007
  • 본 연구에서는 실측 강수 자료를 적용하여 장기 지하수위의 변동을 수치모의하고, 그 결과를 관측정으로부터 측정된 실측 지하수위와 비교하였다. 모형의 구축은 제주도 한라산 중산간으로부터 해안까지 이르는 유역 면적 $310km^2$의 천미천 유역을 대상으로 하였으며, 2001년 11월 부터 2002년 10월까지 12개월간의 강우에 따른 지하수위의 변동을 평형상태로 해석하였다. 미국 지질조사국 (USGS) 에서 개발한 3차원 유한차분 해석 프로그램인 MODFLOW 모형을 선정하여 적용한 결과를 유역 내의 12개 관측정 측정수위와 비교하였으며, 대상지역에서 14.7m의 평균 오차와 21% 정규 실효치를 나타내었다. 향후 모형 구축 및 모의 결과의 신뢰도를 향상시키기 위해 격자수와 크기의 조절 및 공간적 분포에 따른 대수층의 투수계수와 저류계수의 민감도 분석을 수행하여야 할 것으로 판단되며, 계속 연구 수행 중에 있다.

  • PDF

Parameter Sensitivity Analysis of Autonomous Robot Vehicle for Trajectory Error and Friction Force (자율 주행 반송차의 궤적 오차와 마찰력에 대한 매개 변수의 민감도 해석)

  • 김동규;박기환;김수현;곽윤근
    • Transactions of the Korean Society of Automotive Engineers
    • /
    • v.4 no.2
    • /
    • pp.115-126
    • /
    • 1996
  • In order to obtain the principal design data for developing the Autonomous Robot Vehicle(ARV), Sensitivity analysis on the trajectory error and friction force with respect to the dynamic parameters is performed. In the straight motion, the trajectory error has been proved to be much affected by the mass variance of the ARV while the lateral friction force is much affected by the location of the mass center. In the curved motion, the effect of mass and moment of inertia is considered importantly. In addition, the lateral offset gives more effect than the geometric dimension of the ARV on the trajectory errors and friction force.

  • PDF

Closing Analysis of Symmetric Steel Cable-stayed Bridges and Estimation of Construction Error (대칭형 강 사장교의 폐합해석과 시공오차의 예측)

  • Lee, Min Kwon;Lee, Hae Sung
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.26 no.1A
    • /
    • pp.55-65
    • /
    • 2006
  • This paper presents the closing analysis of a symmetric steel cable-stayed bridge erected by a free cantilever method. Two independent structural systems are formed before the closing procedure of a bridge is performed, and thus the compatibility conditions for vertical displacement and rotational angle are not satisfied at the closing section without the application of proper sectional forces. Since, however, it is usually impossible to apply sectional forces at the closing section, the compatibility conditions should be satisfied by proper external forces that can be actually applicable to a bridge. Unstrained lengths of selected cables and the pull-up force of a derrick crane are adjusted to satisfy nonlinear compatibility conditions, which are solved iteratively by the Newton-Raphson method. Cable members are modeled by the elastic catenary cable elements, and towers and main girders are discretized by linear 3-D frame elements. The sensitivities of displacement with respect to the unstrained lengths of selected cables and the pull-up force of the derrick crane are evaluated by the direct differentiation of the equilibrium equation. A Monte-Carlo simulation approach is proposed to estimate expected construction errors for a given confidence level. The proposed method is applied to the second Jindo Grand Bridge to demonstrate its validity and effectiveness.

Improvement of the Prediction of Natural Frequencies Of Composite Laminated Plate Using Parametric Identification (변수 식별을 통한 복합재의 적층판의 고유진동수 예측 개선)

  • 홍단비;유정규;김승조
    • Composites Research
    • /
    • v.12 no.1
    • /
    • pp.1-10
    • /
    • 1999
  • In order to predict the dynamic behavior of composite laminated plate accurately, the parametric identification is performed using its mechanical properties- $E_1,\;E_2,\;V_{12},\;G_{12}$ as design parameters. After natural frequencies are measured through simple vibration test, the objective function consists of the sum of errors between experimental and numerical frequencies of a structure. As optimization algorithm, conjugate gradient method is used to minimize the objective function. Sensitivity Analysis is performed to update design parameters during this process and can explain the result of parametric identification. In order to check the propriety of result, mode shapes are compared before and after identification. The improved prediction of natural frequencies of composite laminated plate is obtained with updated properties. For the application of result, updated properties is applied to the composite laminated plate that has different stacking sequence.

  • PDF