• 대한기계학회논문집A
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• 제28권4호
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• pp.475-480
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• 2004

Function approximation is one of the most important and active research fields in design optimization. Accurate function approximations can reduce the repetitive computational effort fur system analysis. So this study presents an enhanced two-point diagonal quadratic approximation method. The proposed method is based on the Two-point Diagonal Quadratic Approximation method. But unlike TDQA, the suggested method has two quadratic terms, the diagonal term and the correction term. Therefore this method overcomes the disadvantage of TDQA when the derivatives of two design points are same signed values. And in the proposed method, both the approximate function and derivative values at two design points are equal to the exact counterparts whether the signs of derivatives at two design points are the same or not. Several numerical examples are presented to show the merits of the proposed method compared to the other forms used in the literature.

• Journal of the Korean Data and Information Science Society
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• 제14권3호
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• pp.623-630
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• 2003

Recently, Tanaka(1988) derived two influence functions related to an eigenvalue problem $(A-\lambda_sI)\upsilon_s=0$ of real symmetric matrix A and used them for sensitivity analysis in principal component analysis. In this paper, we deal with the perturbation expansions up to quadratic terms of the same functions and discuss the application to sensitivity analysis in principal component regression analysis(PCRA). Numerical example is given to show how the approximation improves with the quadratic term.

• International Journal of Reliability and Applications
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• 제13권2호
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• pp.71-80
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• 2012

This paper introduces a new approach for evaluating reliability of a complex system in terms of distributional parameters where analytical determination of reliability is intractable. The concept of discrete approximation, reported in the literature so far, fails to meet the latter requirement in terms of distributional parameters. The current work aims at offering a bound based approach where reliability planners not only get a clear idea about the extent of error but also can manipulate in terms of distributional parameters. This reliability approximation has been under taken under the Weibull frame work which is the most widely used model for reliability analysis. Numerical study has been carried out to examine the strength of our proposed reliability approximation via closeness between the two reliability bounds. This approach will be very useful during the early stages of product design as the distributional parameters can be adjusted.

• 전자공학회논문지A
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• 제30A권11호
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• pp.88-98
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• 1993

In this paper, the effective permittivity in the piezoelectric material is numerically obtained and greens function is derived from that. It is shown that the admittance and the transfer function of an interdigital transducer is represented by electrostatic charge distribution using Quasi-static approximation. To prove the validity of the quasi-static approximation, numerical results for the uniform IDT of a filter mounted on 128 $^{\circ}$ rotated Y-cut X-propagating Lithium Niobate are compared with the measured ones.

• 대한기계학회논문집A
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• 제27권5호
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• pp.657-665
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• 2003

Several interesting results were obtained from the flow visualization experiment in the accompanying paper, Part I. in the present study, Part II, a numerical study has been carried out to explain the detailed flow phenomena in micro-channel filling process. Hele-Shaw flow approximation was applied to the micro-channel geometry based on the small characteristic length. And surface tension effect has been introduced on the flow front as the boundary condition with the help of a dynamic contact angle concept between the melt front and the wall. A dimensional analysis for numerical results was carried out and a strong relationship between dimensionless pressure and Capillary number is obtained. The numerical analysis results are compared with the flow visualization experimental observations. And the numerical system developed in the present study seems to be able to predict the interesting micro-channel filling flow characteristics observed from experiments.

• 대한설비공학회지:설비저널
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• 제11권3호
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• pp.52-57
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• 1982

One-dimensional approximation for fin problems is widely used in current texts and industrial practice. The errors caused by this approximation is analysed for a longitudinal triangular fin by the numerical solution of two-dimensional fin equation. Two-dimensional solution is obtained by the finite element method and com pared with the one-dimensional esact solution. The results show that total heat transfer and fin efficiency are overestimated by the one-dimensional approximation. The factors which cause these errors are the Biot number (Bi) and the ratio of fin length to half the thickness (L/a). When Bi is smaller than 1.0 these errors are smaller than $10\%$, but when Bi is larger than 5.0 they are a few ten percents. Fin efficiency obtaned by one-dimensional and long fin assumption is valid only then Bi is small and L/a is large.

• 한국해안해양공학회지
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• 제14권3호
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• pp.240-246
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• 2002

타원형 천퇴해역에 대한 규칙파 및 일방향 불규칙파의 전파변형에 대한 수리모형실험을 수행하였다. 수리모형실험은 비쇄파조건의 규칙파와 천퇴의 정상부에서 부분쇄파가 발생하는 일방향 불규칙파를 대상으로 수행되었다. 수리모형실험 조건에 대해 포물형근사식을 적용한 수치해석을 수행하여 실험결과와 비교하였다.

• Interaction and multiscale mechanics
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• 제2권3호
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• pp.295-319
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• 2009

In this work, we discuss a reproducing kernel collocation method (RKCM) for solving $2^{nd}$ order PDE based on strong formulation, where the reproducing kernel shape functions with compact support are used as approximation functions. The method based on strong form collocation avoids the domain integration, and leads to well-conditioned discrete system of equations. We investigate the convergence and the computational complexity for this proposed method. An important result obtained from the analysis is that the degree of basis in the reproducing kernel approximation has to be greater than one for the method to converge. Some numerical experiments are provided to validate the error analysis. The complexity of RKCM is also analyzed, and the complexity comparison with the weak formulation using reproducing kernel approximation is presented.

• 대한토목학회논문집
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• 제10권3호
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• pp.7-17
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• 1990

본 연구에서는 트러스구조와 아치구조의 부재단면적 및 기하형상을 동시에 최적화하는 효율적인 근사화 방법을 제안하고자 한다. 설계과정 중, 트러스구조에 대해서는 응력제약조건 및 좌굴응력제약조건을 만족하도록 하고, 아치구조에 대해서는 조합응력 제약조건을 만족하도록 하였다. 최적화에 필요한 구조해석의 수를 줄이기 위해 Force Approximation Method를 사용하였다. 초기치에 대한 유한요소해석이 수행된 다음 설계변수인 부재단면적과 절점좌표들에 대한 부재단면력들의 경사를 계산하였고, 그 경사정보를 이용 부재단면력들의 1차 Taylor급수 전개에 근거를 둔 근사구조 해석을 형성하였다. 이동한계법을 적용하였으며, 근사구조해석으로 부터 얻어진 정보에 의해 구조물의 체적을 최소화 하였다. 형상최적화를 위한 제안된 본 방법의 효율성과 신뢰성을 보이기 위해 수치예를 들어 다른 방법들에 의한 결과와 비교하였다. 그 결과 구조해석의 수를 크게 감소시킬 수 있었으며, 구조물 형상최적화에 매우 효율적으로 적용될 수 있음을 알게 되었다.

• International Journal of Fluid Machinery and Systems
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• 제3권2호
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• pp.150-159
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• 2010

Laidback fan shaped film-cooling hole is formulated numerically and optimized with the help of three-dimensional numerical analysis, surrogate methods, and the multi-objective evolutionary algorithm. As Pareto optimal front produces a set of optimal solutions, the trends of objective functions with design variables are predicted by hybrid multi-objective evolutionary algorithm. The problem is defined by four geometric design variables, the injection angle of the hole, the lateral expansion angle of the diffuser, the forward expansion angle of the hole, and the ratio of the length to the diameter of the hole, to maximize the film-cooling effectiveness compromising with the aerodynamic loss. The objective function values are numerically evaluated through Reynolds- averaged Navier-Stokes analysis at the designs that are selected through the Latin hypercube sampling method. Using these numerical simulation results, the Response Surface Approximation model are constructed for each objective function and a hybrid multi-objective evolutionary algorithm is applied to obtain the Pareto optimal front. The clustered points from Pareto optimal front were evaluated by flow analysis. These designs give enhanced objective function values in comparison with the experimental designs.