• International Journal of Automotive Technology
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• 제8권1호
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• pp.93-102
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• 2007

The frontal crash optimization of an engine room member using the response surface method was studied. The engine room member is composed of the front side member and the sub-frame. The thicknesses of the panels on the front side member and the sub-frame were selected as the design variables. The purpose of the optimization was to reduce the weight of the structure, under the constraint that the objective quantity of crash energy is absorbed. The response surface method was used to approximate the crash behavior in mathematical form for optimization procedure. To research the effect of the regression method, two different methodologies were used in constructing the response surface model, the least square method and the moving least square method. The optimum with the two methods was verified by the simulation result. The precision of the surrogate model affected the optimal design. The moving least square method showed better approximation than the least square method. In addition to the deterministic optimization, the reliability-based design optimization using the response surface method was executed to examine the effect of uncertainties in design variables. The requirement for reliability made the optimal structure be heavier than the result of the deterministic optimization. Compared with the deterministic optimum, the optimal design using the reliability-based design optimization showed higher crash energy absorption and little probability of failure in achieving the objective.

• 대한조선학회지
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• 제27권4호
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• pp.67-71
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• 1990

본 논문에서는 신뢰도(reliability)에 제한조건을 두어, 부유식 해양구조물의 주요 부재인 보강된 실린서의 최적설계를 다루었다. 기대되는 총비용을 목적함수로 하여 최소화하였다. 그 총비용은 구조적 비용과 파괴로 인해 예상되는 비용(expected failure cost)으로 구성된다. 여러 설계규정에서 요구하는 설계 요구사항을 역시 제한조건으로서 고려하였다. 본 논문에서는 안전성 측면에서 중요한 구조부재만의 신뢰도를 고려하였고, 시스템의 파괴확율은 일반적으로 부재의 파괴확율보다 상당히 작고 또한 시스템 파괴에 의한 비용을 추정하는 것은 매우 어려우므로 시스템의 파괴는 고려하지 않았다. 또한 파괴모드로써 최종파괴만을 다루었고 피로파괴는 고려하지 않았다. 몇가지 최적설계의 예를 본 논문의 결과로서 보여 주었으며 또한 동일한 구조부재의 설계공식에 따른 최적설계를 비교하기 위해 보강된 실린더의 설계시 현재 사용하는 다른 형태의 설계공식을 갖고 최적설계 결과를 유도하였다. 본 논문에서는 그 결과들로부터 신뢰성해석에 기초한 최적화 과정을 통해 다른 구조물의 설계시 보다 많은 비용의 절감을 꾀할 수 있는 가능성으로부터 그 중요성이 강조되었다.

• Structural Engineering and Mechanics
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• 제70권1호
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• pp.81-96
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• 2019

In this paper, a hybrid uncertain model is applied to system reliability based design optimization (RBDO) of trusses. All random variables are described by random distributions but some key distribution parameters of them which lack information are defined by variation intervals. For system RBDO of trusses, the first order reliability method, as well as monotonicity analysis and the branch and bound method, are utilized to determine the system failure probability; and Improved (${\mu}+{\lambda}$) constrained differential evolution (ICDE) is employed for the optimization process. System reliability assessment of several numerical examples and system RBDO of different truss structures are proposed to verify our results. Moreover, the effect of different classes of interval distribution parameters on the optimum weight of the structure and the reliability index are also investigated. The results indicate that the weight of the structure is increased by increasing the uncertainty level. Moreover, it is shown that for a certain random variable, the optimum weight is more increased by the translation interval parameters than the rotation ones.

• 한국전산구조공학회논문집
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• 제22권4호
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• pp.299-306
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• 2009

최적설계는 설계자가 요구하는 제한조건을 만족시키는 범위에서 목적함수가 최소가 되는 설계점을 찾는 방법이다. 그러나 기존의 최적설계는 설계변수의 불확실성을 고려하지 않아 최적해가 제한조건의 경계에 위치하고, 이것은 모델링과정이나 가공 등으로 인한 오차의 영향을 고려하지 않는 문제점이 있다. 신뢰성 기반 최적설계는 불확실성을 정량화하면서 신뢰도를 계산하는 신뢰도 해석과정과 최적설계 과정을 포함한다. 일반적으로 신뢰성 해석은 크게 추출법, 급속 확률 적분법, 모멘트 기반 신뢰성 해석이 있다. 가장 널리 사용되는 급속 확률 적분법 중 최대 손상 가능점(MPP) 방법은 많은 MPP점이 존재하는 경우 수치적 비용이 증가하는 문제점과 표준 정규분포 공간으로 변환하는 과정에서 제한조건의 비선형성을 증가시켜 큰 오차를 발생시키는 문제점이 있다. 본 논문에서는 RBDO를 수행하기에 앞서 선행되어야 할 신뢰성 해석 방법으로 곱분해기법을 사용하였고, 이로부터 민감도 정보를 유도하여 기울기 기반 최적화 알고리즘을 적용하였다.

• 대한기계학회논문집A
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• 제38권6호
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• pp.649-653
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• 2014

대부분의 신뢰성 기반 최적설계는 최적설계 과정에서 설계점이 이동함에도 불구하고 설계변수의 불확실성은 변하지 않는다. 하지만 실제 문제에서 설계변수의 값에 따라 불확실성이 변하는 경우가 있다. 예를 들어 철판의 두께가 설계변수이고, 철판의 제작공차가 불확실성인 경우, 철판의 두께에 따라 철판의 제작공차가 달라지기 때문에 설계변수의 값에 따라 그 값의 불확실성이 변한다. 본 연구에서는 설계변수의 값에 따라 불확실성이 변하는 것을 변동 불확실성으로 정의하고, 이를 신뢰성 기반 최적설계에 적용하는 변동 불확실성을 고려한 신뢰성 기반 최적설계 기법을 제안한다. 수학예제에서 변동 불확실성을 고려하지 않은 신뢰성 기반 최적설계와 변동 불확실성을 고려한 신뢰성 기반 최적설계의 비교를 통해 제안한 방법의 필요성을 확인한다. 또한 엔진 크래들의 변동 불확실성을 고려한 신뢰성 기반 최적설계를 통해 제안한 방법의 유용성을 확인한다.

• Journal of Magnetics
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• 제17권1호
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• pp.46-50
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• 2012

A reliability-based optimization method for electromagnetic design is presented to take uncertainties of design parameters into account. The method can provide an optimal design satisfying a specified confidence level in the presence of uncertain parameters. To achieve the goal, the reliability index approach based on the firstorder reliability method is adopted to deal with probabilistic constraint functions and a double-loop optimization algorithm is implemented to obtain an optimum. The proposed method is applied to the TEAM Workshop Problem 22 and its accuracy and efficiency is verified with reference of Monte Carlo simulation results.

• 한국전산유체공학회지
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• 제11권1호
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• pp.21-28
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• 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.

• 전산구조공학
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• 제6권1호
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• pp.77-89
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• 1993

Current Bridge foundation design is based on Working Stress Design(WSD), but Load Factor Based on Optimum Reliability(LFBOR) design method is more rational than the WSD. For this reason, this study proposes a reliability based design criteria for the bridge foundation, which is most common type of bridge foundation(Shallow, Pile and Caission), and also proposes the theoretical basis of nominal safety factors of stability analysis by introducing the reliability theory. The limit state equations of stability analysis of bridge foundation and the uncertainty measuring algorithms of each equation are also derived by Cornell's MFOSM(Mean First Order 2nd Moment Methods)using the stability analysis fourmula Highway Bridge Design Codes.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 1992년도 봄 학술발표회 논문집
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• pp.134-139
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• 1992

This study introduces simple derivation of optimum load factors based on both cornell's MFOSM (Mean First Order End Moment) methods and Lind - Hasofers AFOSM (Advanced First Order 2nd Moment) methods and demonstrates the relationship between the optimum reliability, the load factors, the probability distributions selected to model the load, and a measure of relative failure cost. Although some of the cost parameters cannot be evaluated accurately and the upper tail characteristics of the distributions of the random loads remain uncertainty, this optimum reliability formulation provides insight on which Parameters are most significant in selecting appropriate load criteria for structure design.

• Structural Engineering and Mechanics
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• 제31권1호
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• pp.11-24
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• 2009

In China, the oil and natural gas resources of Bohai Bay are mainly marginal oil fields. It is necessary to build both ice-resistant and economical offshore platforms. However, risk is involved in the design, construction, utilization, maintenance of offshore platforms as uncertain events may occur within the life-cycle of a platform under the extreme ice load. In this study, the optimum design model of the expected life-cycle cost for ice-resistant platforms based on cost-effectiveness criterion is proposed. Multiple performance demands of the structure, facilities and crew members, associated with the failure assessment criteria and evaluation functions of costs of construction, consequences of structural failure modes including damage, revenue loss, death and injury as well as discounting cost over time are considered. An efficient approximate method of the global reliability analysis for the offshore platforms is provided, which converts the implicit nonlinear performance function in the conventional reliability analysis to linear explicit one. The proposed life-cycle optimum design formula are applied to a typical ice-resistant platform in Bohai Bay, and the results demonstrate that the life-cycle cost-effective optimum design model is more rational compared to the conventional design.