• 제목/요약/키워드: reliability approximation

검색결과 169건 처리시간 0.027초

이동최소제곱근사법을 이용한 개선된 구조 신뢰성 해석 (An Improved Structural Reliability Analysis using Moving Least Squares Approximation)

  • 강수창;고현무
    • 대한토목학회논문집
    • /
    • 제28권6A호
    • /
    • pp.835-842
    • /
    • 2008
  • 응답면 기법은 수치적 효율성을 증대시키기 위해 구조 신뢰성 해석에 널리 적용되고 있다. 그러나 응답면 기법을 사용한 대형구조물의 신뢰성 해석에는 아직도 과도한 해석시간이 요구되고 비선형성이 큰 한계상태에 대해서는 확률변수에 대한 신뢰도지수의 민감도 측면에서 많은 오차가 발생한다. 그러므로, 이 연구에서는 이동최소제곱근사법을 적용한 새로운 응답면 기법을 제안한다. 기존의 응답면 기법에 사용되어온 최소제곱근사법은 표본점들에 동일한 가중값을 부여하여 응답면 함수의 계수를 결정한다. 반면에 이동최소제곱근사법은 설계점에 가까운 표본점들에 더 높은 가중값을 부여함으로써 설계점 근처에서 한계상태식에 더 가까운 응답면 함수를 제공하여 정확도를 증대시킨다. 이동최소제곱근사법을 이용한 신뢰성 해석 절차를 살펴보면, 먼저 선형 응답면 함수를 생성하여 설계점이 있을 영역을 결정한 다음, 이 영역에서 추출된 표본점들을 이용하여 2차 응답면 함수를 생성한다. 그 다음 단계에서는 기존에 추출된 표본점에 연속적으로 하나의 표본점을 더해가면서 응답면 함수를 더욱더 정확히 근사시킨다. 제안된 방법의 효율성을 검토하기 위해서 기존 연구자에 의해 제안된 수치적 문제 및 트러스 문제들에 대하여 신뢰성 해석을 수행하였다. 그 결과 제안된 방법은 민감도를 포함한 정확성 뿐만 아니라 계산 효율성도 증대시킴을 확인할 수 있었다.

Approximation of reliability constraints by estimating quantile functions

  • Ching, Jianye;Hsu, Wei-Chi
    • Structural Engineering and Mechanics
    • /
    • 제32권1호
    • /
    • pp.127-145
    • /
    • 2009
  • A novel approach is proposed to effectively estimate the quantile functions of normalized performance indices of reliability constraints in a reliability-based optimization (RBO) problem. These quantile functions are not only estimated as functions of exceedance probabilities but also as functions of the design variables of the target RBO problem. Once these quantile functions are obtained, all reliability constraints in the target RBO problem can be transformed into non-probabilistic ordinary ones, and the RBO problem can be solved as if it is an ordinary optimization problem. Two numerical examples are investigated to verify the proposed novel approach. The results show that the approach may be capable of finding approximate solutions that are close to the actual solution of the target RBO problem.

신뢰성을 고려한 유연 날개 형상 최적 설계에 대한 연구 (STUDY OF RELIABILITY BASED FLEXIBLE WING SHAPE DESIGN OPTIMIZATION)

  • 김수환;권장혁
    • 한국전산유체공학회지
    • /
    • 제11권1호
    • /
    • pp.21-28
    • /
    • 2006
  • Reliability Based Design Optimization(RBDO) is one of the optimization methods that minimize the product failure due to small changes of operating conditions or process errors. It searches the optimum that satisfies the safety margin of each constraint, and it gives stable and reliable designs. However, RBDO requires many times oj computational efforts compared with the conventional deterministic optimization(DO) to evaluate the probability of failure about each constraint, therefore it is hard to apply directly to large-scaled problems such as a flexible wing shape design optimization. For the efficient reliability analysis, the approximate reliability analysis method with the two-point approximation(TPA) is proposed In this study, the lift-to-drag ratio maximization designs are performed with 3-dimensional Navier-Stokes analysis and NASTRAN structural analysis, and the optimization results about the deterministic, FORM and SORM are compared.

Nonlinear Modeling and Dynamic Analysis of Flexible Structures Undergoing Overall Motions Employing Mode Approximation Method

  • Kim, Jung-Young;Hyun, Sang-Hak;Yoo, Hong-Hee
    • Journal of Mechanical Science and Technology
    • /
    • 제16권7호
    • /
    • pp.896-901
    • /
    • 2002
  • This paper presents a nonlinear modeling method for dynamic analysis of flexible structures undergoing overall motions that employs the mode approximation method. This method, different from the naive nonlinear method that approximates only Cartesian deformation variables, approximates not only deformation variables but also strain variables. Geometric constraint relations between the strain variables and the deformation variables are introduced and incorporated into the formulation. Two numerical examples are solved and the reliability and the accuracy of the proposed formulation are examined through the numerical study.

마이크로 믹서의 형상 최적화 (Shape Optimization of a Micro-Static Mixer)

  • 한석영;김성훈
    • 한국공작기계학회:학술대회논문집
    • /
    • 한국공작기계학회 2004년도 춘계학술대회 논문집
    • /
    • pp.166-171
    • /
    • 2004
  • In this study, shape optimization of micro-static mixer with a cantilever beam was accomplished for mixing the mixing efficiency by using successive response surface approximations. Variables were chosen as the length of cantilever beam and the angle between horizontal and the cantilever beam. Sequential approximate optimization method was used to deal with both highly nonlinear and non-smooth characteristics of flow field in a micro-static mixer. Shape optimization problem of a micro-static mixer can be divided into a series of simple subproblems. Approximation to solve the subproblems was performed by response surface approximation, which does not require the sensitivity analysis. To verify the reliability of approximated objective function and the accuracy of it, ANOVA analysis and variables selection method were implemented, respectively. It was verified that successive response surface approximation worked very well and the mixing efficiency was improved very much comparing with the initial shape of a micro-static mixer.

  • PDF

A study on heat capacity of oxide and nitride nuclear fuels by using Einstein-Debye approximation

  • Eser, E.;Duyuran, B.;Bolukdemir, M.H.;Koc, H.
    • Nuclear Engineering and Technology
    • /
    • 제52권6호
    • /
    • pp.1208-1212
    • /
    • 2020
  • Knowledge on fuel enthalpy and its temperature derivative, the heat capacity, are important quantities in determination of fuel behavior in normal reactor operation and reactor transients. The aim of this study is to compare the heat capacity of oxide and nitrite fuels by using Einstein-Debye approximation. A simple analytical expression was performed to calculate the heat capacity of fuels. To test the validity and reliability, the calculated formulas were compared to published results for various nuclear fuels including UO2, ThO2, PuO2 and UN. Calculated formulas yielded results in consistent with literature.

모드 근사화 방법을 이용한 대변위 운동을 하는 유연구조물의 비선형 모델링 및 동적해석 (Nonlinear Modeling and Dynamic Analysis of Flexible Structures Undergoing Overall Motions Employing Mode Approximation Method)

  • 김정영;현상학;유홍희
    • 대한기계학회:학술대회논문집
    • /
    • 대한기계학회 2001년도 추계학술대회논문집A
    • /
    • pp.550-555
    • /
    • 2001
  • This paper presents a nonlinear modeling method for dynamic analysis of flexible structures undergoing overall motions that employs the mode approximation method. This method, different from the naive nonlinear method that approximates only Cartesian deformation variables, approximates not only deformation variables but also strain variables. Geometric constraint relations between the strain variables and the deformation variables are introduced and incorporated into the formulation. Two numerical examples are solved and the reliability and the accuracy of the proposed formulation are examined through the numerical study.

  • PDF

실험계획법과 크리깅 근사모델에 의한 게이트밸브 최적화 (Optimization of a Gate Valve using Design of Experiments and the Kriging Based Approximation Model)

  • 강정호;강진;박영철
    • 한국공작기계학회논문집
    • /
    • 제14권6호
    • /
    • pp.125-131
    • /
    • 2005
  • The purpose of this study is an optimization of gate valve made by forging method instead of welding method. In this study, we propose an optimal shape design to improve the mechanical efficiency of gate valve. In order to optimize more efficiently and reliably, the meta-modeling technique has been developed to solve such a complex problems combined with the DACE (Design and Analysis of Computer Experiments). The DACE modeling, known as the one of Kriging interpolation, is introduced to obtain the surrogate approximation model of the function. Also, we prove reliability of the DACE model's application to gate valve by computer simulations using FEM(Finite Element Method).

한국어판 수정된 스트레스 평가 도구(Revised Stress Appraisal Measure)의 타당도와 신뢰도 (Validity and Reliability of Korean Version of the Revised Stress Appraisal Measure (RSAM))

  • 김정선;김계하;강현철
    • 한국콘텐츠학회논문지
    • /
    • 제15권3호
    • /
    • pp.290-302
    • /
    • 2015
  • 본 연구의 목적은 대학생들을 대상으로 수정된 스트레스 평가 도구(Revised Stress Appraisal Measure, RSAM)를 우리나라 실정에 맞게 번역하고, 타당도와 신뢰도를 검증하는 것이다. IBM SPSS Statistics 21과 AMOS 21 program을 이용하여 내적 일관성 신뢰도, 구성타당도, 준거타당도 검사를 하였다. 자료 수집은 G시와 C 지역 소재의 5개 대학교에 재학 중인 296명의 대학교 4학년 학생을 임의로 표출하였다. 한국어판 RSAM은 5개 요인으로 분류되었으며, 전체 변량은 68.4%를 설명하였다. 5개의 하위요인은 확증적 요인분석에 의해 타당성이 입증되었다(p<.001, Goodness of Fit Index, Adjusted Goodness of Fit Index, Normed Fit Index, Comparative Fit Index >.08, Root Mean Square Error of Approximation=.056). 준거타당도에서, 척도의 점수는 한국어판 Perceived Stress Scale (PSS)와 유의한 상관관계가 있었다. 신뢰도 계수는 .73에서 .89까지였다. 한국어판 RSAM 은 구성타당도와 준거타당도, 그리고 내적 일관성 신뢰도에서 만족할 만한 것으로 나타났다. 따라서 본 도구는 한국 대학생들의 스트레스 평가를 측정하는데 적합한 도구가 될 수 있을 것이다.