• Journal of the Computational Structural Engineering Institute of Korea
• /
• v.31 no.6
• /
• pp.331-337
• /
• 2018

This paper presents dynamic algorithm of the MLS(moving least squares) difference method using first order differential Approximation. The governing equations are only discretized by the first order MLS derivative approximation. The system equation consists of an assembly of the approximate function, so the shape of system equation is similar to FEM(finite element method). The CDM(central difference method) is used for time integration of dynamic equilibrium equation. The natural frequency analyses of the MLS difference method and FEM are performed, and two analysis results are compared. Also, the accuracy of the proposed numerical method is verified by displaying the dynamic analysis results together with the results by the existing second order differential approximation. In the process of assembling the first order MLS derivative approximation, the oscillation error was suppressed and the stress distribution was interpreted as relatively uniform.

• The Journal of the Acoustical Society of Korea
• /
• v.7 no.4
• /
• pp.86-97
• /
• 1988

본 논문에서는 비등방성 매질에서의 2차원적 회절현상을 수학적으로 모델링하였다. 비등방성 매질의 2차 포물선 근사법과 프레즈넬 근사법을 적용하기 위하여 전파방향에 따른 표면파 속도의 역수를 포물선으로 가정하였다. 128${\circ}$ Rotated $LiNbO_{3}$ 기판을 사용한 SAW IF Bandpass Filter에서의 회절현상을 모의 설계하여 그 결과를 회절현상이 없는 이상적인 경우와 비교하였다. 또한 전산화 모의 설계 결과와 실제로 제작된 SAW Filter 특성결과를 비교하여 $LiNbO_{3}$ 기판을 사용한 SAW Filter에서도 프레즈넬 근사법이 대체적으로 일치하는 것을 알 수 있었다.

• Geophysics and Geophysical Exploration
• /
• v.2 no.3
• /
• pp.142-148
• /
• 1999

Three-dimensional electromagnetic modeling algorithm in homogeneous half-space was developed using the extended Born approximation to an electric field integral equation. To examine the performance of the extended Born approximation algorithm, the results were compared with those of the full integral equation results. For a crosshole source-receiver configuration, the agreement between the integral equation and the extended Born approximation was remarkable when the source frequency is lower than 20 kHz and conductivity contrast lower than 1:10. Beyond this conductivity contrast, the simulated results by the extended Born approximation exhibit a difference with respect to those by the integral equation. Therefore, the limit of accuracy lies below contrast of 1:10 in the extended Born approximation. Since for the source frequency range from 20 kHz to 100 kHz, however, the difference is relatively small, the extended Born approximation could be used for a reasonable 3-D EM modeling algorithm.

• Proceedings of the Computational Structural Engineering Institute Conference
• /
• 1993.04a
• /
• pp.109-116
• /
• 1993

구조물의 신뢰도를 평가하는 방법을 살펴보고 각각의 장,단점을 비교한다. 각 방법의 정확성을 평가하는 기준으로 Crude Monte Carlo(CMC)방법을 택하여, Importance Sampling(IS)방법, 그리고 Directional Sampling(DS)방법을 살펴 보고, 1차 근사방법은 현재 많이 사용되고 있는 Rackwitz-Fiessler(RF)방법, Chen과 Lind가 제안한 3-parameter방법(CL), Hohenbichler가 제안한 Rosenblatt 변환방법(RT)을, 그리고 2차 근사방법은 Breitung이 제안한 곡률적합 포물선 (Curvature Fitted Paraboloid,CFP)공식과 Kiureghian이 제안한 점적합 포물선(Point Fitted Paraboloid,PFP)공식, 그리고 Log-Likelihood function을 이용하여 원변수공간에서 파괴확률을 구하는 2차 근사공식(LLF)을 비교한다. 그리고 한계상태식이 불명확할 때 효율적으로 사용할 수 있는 반웅웅답법(Response surface method, RSM)을 살펴본다. 각 방법의 효율성 특히 적용 가능성을 예제를 통해 해석한 결과 추출법의 경우는 DS 방법이, 그리고 근사방법에서는 RSM 방법이 효율적임을 알 수 있었다.

• Journal of the Computational Structural Engineering Institute of Korea
• /
• v.33 no.5
• /
• pp.279-286
• /
• 2020

In this study, we investigate the accuracy of higher order derivatives in the moving least square (MLS) difference method. An interpolation function is constructed by employing a Taylor series expansion via MLS approximation. The function is then applied to the mixed variational theorem in which the displacement and stress resultants are treated as independent variables. The higher order derivatives are evaluated by solving simply supported beams and cantilevers. The results are compared with the analytical solutions in terms of the order of polynomials, support size of the weighting function, and number of nodes. The accuracy of the higher order derivatives improves with the employment of the mean value theorem, especially for very high-order derivatives (e.g., above fourth-order derivatives), which are important in a classical asymptotic analysis.

• Geophysics and Geophysical Exploration
• /
• v.1 no.3
• /
• pp.155-160
• /
• 1998

EM tomography technique has been developed. The algorithm used the extended Born approximations for forward modeling and reconstructed a conductivity image by a smoothness constraint least squares inversion method. Observed data, the vertical components of secondary magnetic fields, were simulated with the 3-D integral equation code. The results showed that the location of anomalous body could be imaged very well, but conductivity of the body was lower than real one and the vertical resolution was much higher than the horizontal resolution.

• Proceedings of the Korean Society of Precision Engineering Conference
• /
• 2001.10a
• /
• pp.169-173
• /
• 2001

무인 운반차 등의 주행괘적을 검출하기 위해서는, 일반적으로 순간적인 주행속도와 진행방향을 축차적으로 검출하여 이로부터 궤적을 측정하는 방법이 이용되어져 왔으며, 이를 위하여 종래에는 타코미터, 2차 상관법, 공간 필터법 등과 같은 속도 계측 수단과 스티어링 각도 검출기, 자이로등의 회전각 검출 수단을 병용하여야 했다. 본 논문에서는 복수개의 광 선 검출기 군과 이에 대응하는 고차의 상관처리를 이용한 단일계로서 차량의 임의의 궤적을 원호로 근사하여 검출함으로써 곡선 궤적인 경우에도 고정도의 궤적추정이 가능한 새로운 계측법을 제안한다.

• The Korean Journal of Rheology
• /
• v.8 no.2
• /
• pp.78-91
• /
• 1996

단섬유 보강 플라스틱 복합재료에 사출성형에서 섬유배향은 금형 충전 공정 중의 유동장에 의해 결정되고 섬유의 배향 상태는 역으로 유동장에 영향을 미친다. 단섬유에 의 한 추가적인 응력을 포함하는 Dinh과 Armstrong의 이방성 구성방정식을 충전유동과 섬유 배향의 연계해석에 도입하였다. 충전유동의 해석은 새로운 압력 지배방정식과 에너지 방정 식을 유한요소법과 유한차분법을 이용하여 풀고 동시에 2차 배향 텐서의 변화방정식을 4차 Runge-kutta 방법으로 풀었다. 섬유의 배향상태를 구한 후에 일방향성 복합재료의 Halpin-Tsai 식과 배향 평균모델을 도입하여 사풀성형품의 이방성 기계적 성질이 예측되었 다. 직사각형 캐비티에서 수치해석결과를 실험결과와 비교하였다. 섬유배향과 유동과의 상호 연계작용을 특히 게이트 근처에서 섬유배향에 영향을 미치며 수치해석 결과는 벽면 근처에 서 유동방향으로 배향하는 shell층을 과대 예측함을 알수 있었는데 이는 배향 텐서 변화 방 정식의 최종근사에서 기인하는 오차로 판단된다. 수정된 복합최종 근사를 바탕으로 예측된 이방성 기계적 성질이 기존의 복합최종 근사에 기초한 예측보다 실험 결과에 정량적으로 보 다 잘 일치하였다.

• Computational Structural Engineering
• /
• v.7 no.1
• /
• pp.109-116
• /
• 1994

In this paper, various reliability analysis methods for calculating a probability of failure are investigated for their accuracy and efficiency. Crude Monte Carlo method is used as a basis for the comparison of various numerical results. For the sampling methods, Importance Sampling method and Directional Simulation method are considered for overcoming a drawback of Crude Monte Carlo method. For the approximate methods, conventional Rackwitz-Fiessler method. 3-parameter Chen-Lind method, and Rosenblatt transformation method are compared on the basis of First order reliability method. As a Second-order reliability method, Curvature-Fitting paraboloid method, Point-fitting paraboloid method, and Log-likelihood function method are explored in order to verify the accuracy of the reliability calculation results. These methods mentioned above would have some difficulty unless the limit state equation is expressed explicitly in terms of random design variables. Thus, there is a need to develop some general reliability methods for the case where an implicit limit state equation is given. For this purpose, Response surface method is used where the limit state equation is approximated by regression analysis of the response surface outcomes resulted from the structural analysis. From the application of these various reliability methods to three examples, it is found that Directional Simulation method and Response Surface method are very efficient and recommendable for the general reliability analysis problem cases.

• Geophysics and Geophysical Exploration
• /
• v.22 no.2
• /
• pp.80-87
• /
• 2019

In this paper, we propose a method to apply the polynomial fitting for regional-residual separation of microgravity data based on the characteristics of gravity anomaly without a prior information. Since the microgravity survey is usually carried out in small regions, it is common to approximate regional anomaly by the first-order polynomial plane. However, if the regional anomaly patterns are difficult to be approximated to a first-order plane, the complete gravity anomaly is divided into small zones enough to approximate first-order plane by means of Parasnis density estimation method. The regional-residual separation is then applied on the splitted zones individually. When the gravity anomalies can be splitted spatially, we showed that the residual anomalies can be more effectively extracted based on the regional geological structures by regional anomaly separation from each of the divided regions, rather than applying the entire data set at one time.