• Transactions of the Korean Society of Mechanical Engineers
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• v.19 no.8
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• pp.1822-1831
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• 1995

A general formulation of the design optimization problem with the random parameters is presented here. The formulation is based on the stochastic finite element second-order perturbation method ; it takes into full account of the stress and displacement constraints together with the rates of change of the random variables. A method of direct differentiation for calculating the sensitivity coefficients in regard to the governing equation and the second-order perturbed equation is derived. A gradient-based nonlinear programming technique is used to solve the problem. The numerical results are specifically noted, where the stiffness parameter and external load are treated as random variables.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.26 no.6A
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• pp.1001-1011
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• 2006

It is a general agreement that exact statistical solutions can be found by a Monte Carlo technique. Due to difficulties, however, in the numerical generation of random fields, which satisfy not only the probabilistic distribution but the spectral characteristics as well, it is recognized as relatively difficult to find an exact response variability of a structural response. In this study, recognizing that the random field assumes a constant over the domain under consideration when the correlation distance tends to infinity, a semi-theoretical solution of response variability is proposed for general structures. In this procedure, the probability density function is directly used. It is particularly noteworthy that the proposed methodology provides response variability for virtually any type of probability density function, and has capability of considering correlations between multiple random variables.

• Proceedings of the KIEE Conference
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• 2006.10d
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• pp.65-67
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• 2006

압전현상을 응용하여 설계, 제작되는 기존의 초음파 모터는 기계적인 구조가 단순하여 설계가 비교적 용이한 장점을 갖추고 있는 반면, 그 해석에 있어서는 전통적일 수치해석적인 방법을 사용하고 trial-and-error에만 의존하는 설계 방식으로 인하여 과학적으로 최적화된 설계가 이루어지지 않음으로써 초음파 모터의 효과적인 설계가 이루어지지 않는 문제점이 존재 하였다. 따라서 본 연구에서는 3차원 유한요소법과 확률론적 최적화 기법인 진화전략 알고리즘을 이용하여 초음파 모터의 설계에 대한 최적화 기법을 제시하고 제시된 최적화 기법을 이용하여 소형 초음파 모터 중 Micro-Positioning Actuator(MPA)의 설계 및 해석을 수행하여 그 타당성을 검증하였다.

• Proceedings of the Korean Reliability Society Conference
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• 2002.06a
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• pp.199-204
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• 2002

본 연구에서는 저압 증기 터빈블레이드의 안전성 확보를 위하여 작용응력 및 강도의 변동성을 고려한 확률론적 해석을 수행하였다. 정상상태에서 작용응력은 이론 및 유한요소해석에 의해서 얻을 수 있으며, 최대 von-Mises 응력은 215.4MPa이다. 회전굽힘 하중하에서의 피로한도는 응력비 R= -1에서 계단식 시험법을 이용하여 구하였으며, 이의 확률론적 특성에 가장 적합한 분포는 3 모수 와이블 분포이다. 그리고 신뢰성에 미치는 다양한 인자들의 영향은 영향계수(sensitivity factor)를 이용하여 정량적으로 평가하였다.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.12 no.2
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• pp.217-227
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• 1992

The first and second-order reliability method(FORM and SORM) is presented using one dimensional finite difference and two dimensional finite element transport models. FORM and SORM can be used without any restrictive assumptions about the properties of the media, and the sensitivity information obtained as part of these analyses is used to identify the parameters which have major influence on the estimate of probability. The reliability analysis of transport in a one-dimensional domain is used to test the robustness of the reliability code and to evaluate the accuracy of the reliability method. A continuous source 2-D example with a concentration threshold limit state function is used to evaluate the influence of the parameters in the location of interest on the reliability solution.

• Proceedings of the KSME Conference
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• 2003.11a
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• pp.1157-1162
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• 2003

Behavior of aluminum alloy embedding a particle was investigated at room temperature under ECAP. Finite element analysis by using ABAQUS shows that ECAP is a useful tool for eliminating residual porosity in the specimen, and much more effective under friction condition. The simulation, however, shows considerably low density distributions for matrix near a particle at which rich defects may occur during severe deformation. Finite element results of effective strains and deformed shapes for matrix with a particle were compared with theoretical calculations under simple shear stress. Also, based on the distribution of the maximum principal stress in the specimen, Weibull fracture probability was obtained for particle sizes and particle-coating layer materials. The probability was useful to predict the trend of more susceptible failure of a brittle coating layer than a particle without an interphase in metal matrix composites.

• Journal of the Society of Naval Architects of Korea
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• v.34 no.4
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• pp.91-98
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• 1997

Most dynamic systems have various random properties m excitation and system parameters. In this paper, a procedure for structural response and reliability analysis is proposed for the linear dynamic system with random properties in both excitation and system parameters. The system parameter and response with random properties are modeled by the perturbation technique, and then the response analysis is formulated by probabilistic and vibration theories. Probabilistic FEM is also used for the calculation of mean response which is difficult by the proposed response model. The first passage analysis by the integral equation method is used to analyze the probability of failure. The integral equation method results in the first passage probability in terms of crossing rates and first passage probability densities. In this study it is assumed that excitations, system parameters and responses are Gaussian. As an application example, the probabilities of failure at transient state are calculated for a sdof system with random mass and spring constant subjected to stationary white-noise excitation and the results are compared to those of numerical simulation.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.13 no.2
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• pp.21-29
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• 1993

In this paper, a probability-based reliability analysis was proposed based on a finite element method-based random vibration analysis and serviceability limit state of structures. The limit state model defined for the study is a serviceability limit state in terms of the more realistic crack failure that might cause the emission of radioactive materials. The SAP V-2 is used for a three-dimensional finite element analysis of concrete containment structure, and the reliability analysis is carried out by modifying HRAS reliability analysis program for this study. In this study, the load factors for the design of reinforced concrete cointainment structures in Korea are proposed by considering appropriate load combination criteria for design, and the results are compared with the present ASME code. The proposed load factors were proved to be in accordance with a set of code performance objective and showed consistency in the limit state probability.

• Proceedings of the Computational Structural Engineering Institute Conference
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• 1998.04a
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• pp.157-164
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• 1998

An elasto-plastic stochastic finite element method is developed to evaluate the probability of failure of the underground structure. The Mohr-Coulomb failure criteria is adopted for yield condition. The material properties such as the elastic modulus and the cohesion are assumed to be statistically independent random variables which are modeled as spatial stochastic fields. The displacements around the excavated area and the probability of the failure are examined by varying the coefficient of variance for each variables. It is found that the developed procedure can provide the proper probabilistic information about the failure of the underground structure

• Proceedings of the Computational Structural Engineering Institute Conference
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• 2011.04a
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• pp.357-361
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• 2011

본 논문에서는 확률적 불확실성을 포함한 손상 장에서 강성저감 효과를 추정하는 방법을 제안하였다. 실제 교량 구조물에 분포된 손상 장은 매우 불확실하며 손상의 위치와 형상 또한 정확히 알 수 없는 경우가 많다. 그러나 대부분의 손상 추정 문제는 균열이나 손상의 위치와 형상을 기지의 주어진 정보로 가정하고 손상을 추정한다. 제안 기법에서는 이러한 손상의 위치와 형태가 본질적으로 불확실하다는 가정 하에 이 불확실성을 수정 가우스 강성 저감 분포 함수를 도입하여 기술한다. 교량에 국부적으로 발생된 손상은 교량의 요소강성의 저감 분포로 변환되어 손상이 발생한 전체 시스템의 강성을 표현하고 이를 통해 손상이 발생한 시스템의 전체 응답을 해석할 수 있게 된다. 수정 가우스 강성 저감 분포 함수는 손상 분포의 개략적 중심을 표현하는 평균 변수와 강성 저감의 비국소적 분포 특성을 묘사하는 표준편차 변수, 손상 중심의 손상 정도를 표현하는 강성저감 변수로 구성된다. 본 논문에서는 손상 장에서 손상의 위치나 형태에 대한 확률적 불확실성을 기술하는 수정 가우스 강성 저감 분포 함수를 포함한 유한요소모델을 정식화하여 제시한다. 또한 단일 또는 복합 균열로 인해 교량 구조물에 국부적인 손상이 야기된 경우에 대한 수치 예제를 통하여 균열 등에 대한 정보가 불확실하더라도 수정 가우스 강성 저감 분포 함수를 통해 강성 저감 효과가 분석될 수 있음을 확인하였다.