• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제5권1호
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• pp.47-53
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• 2001

A problem of approximation by irrational splines is considered. These splines have a constant curvature between interpolation nodes and need only one additional boundary condition for derivatives, which should be set only at one of two boundary nodes, that is impossible for usual polynomial splines required boundary conditions at both boundary nodal points. Some estimations for numerical differentiation and rounding error analysis are presented.

• Structural Engineering and Mechanics
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• 제45권4호
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• pp.569-594
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• 2013

The free vibration of axially functionally graded tapered arches including shear deformation and rotatory inertia are studied through solving the governing differential equation of motion. Numerical results are presented for circular, parabolic, catenary, elliptic and sinusoidal arches with hinged-hinged, hinged-clamped and clamped-clamped end restraints. In this study Differential Quadrature element of lowest order (DQEL) or Lagrangian Interpolation technique is applied to solve the problems. Three general taper types for rectangular section are considered. The lowest four natural frequencies are calculated and compared with the published results.

• 대한수학회보
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• 제44권2호
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• pp.351-358
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• 2007

For an entire function f whose Fourier transform has a compact support confined to $[-{\pi},\;{\pi}]$ and restriction to ${\mathbb{R}}$ belongs to $L^2{\mathbb{R}}$, we derive a nonuniform sampling theorem of Lagrange interpolation type with sampling points ${\lambda}_n{\in}{\mathbb{R}},\;n{\in}{\mathbb{Z}}$, under the condition that $$\frac{lim\;sup}{n{\rightarrow}{\infty}}|{\lambda}_n-n|<\frac {1}{4}$.

• 한국전기전자재료학회:학술대회논문집
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• 한국전기전자재료학회 1995년도 추계학술대회 논문집
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• pp.324-327
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• 1995

In this research, FEM solution to analysis near field of high Tc superconductor microstrip antenna is presented. This method uses the interpolation function with vector edge triangular element. The advantage of this element is elimination of spurious solutions which are attributed to the lack of enforcement of the divergence condition. The solutions of this method will be used to have a good fundamental data for next reaserch about analysis of HTS microstrip array antenna etc.

• 전자공학회논문지A
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• 제31A권10호
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• pp.152-160
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• 1994

Two dimensional interpolation filter for HD-MAC is designed with 1.0 .mu.m CMOS standard cells and verified by logic simulation. The interpolator uses FMH(FIR-Median Hybrid) filter. The median filter, which is the most complicated part of FMH filtre, is simply implemented by modifying Hadian-Sobel algorithm. the filter generates accurately the missed pixel data of luminance and chrominance with the worst case simulation condition at 27MHz clock rates.

• 연구논문집
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• 통권28호
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• pp.123-135
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• 1998

A shape function for element free Galerkin method is carved from Shepard interpolant of singular weight and consistency condition. Thus present shape function is an interpolation and has no singularities. The shape function is applied to cantilever bending problems and gives good results in comparison with beam theory. Finally it is shown that the coupling with finite element method is made easily without any additional treaties.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2002년도 봄 학술발표회 논문집
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• pp.12-18
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• 2002

For the analysis of Kirchhoff plate bending problems, a new meshless method is implemented. For the satisfaction of the C¹ continuity condition in which the first derivative is treated as another primary variable, Hermite interpolation is enforced on standard reproducing kernel particle method. In order to impose essential boundary conditions on solving C¹ continuity problems, shape function modifications are adopted. Through numerical tests, the characteristics and accuracy of the HRKPM are investigated and compared with the finite element analysis. By this implementation, it is shown that high accuracy is achieved by using HRKPM fur solving Kirchhoff plate bending problems.

• 한국경영과학회지
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• 제12권2호
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• pp.21-35
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• 1987

This paper presents a method for propagating fuzzy concepts through fuzzy IF-THEN-ELSE rules. A fuzzy IF-THEN-ELSE rule consists of a set of fuzzy condition and conclusion pairs. These pairs assumed to contain informations about a fuzzy mapping from fuzzy concepts of condition parts to the fuzzy concepts of conclusion parts. Conventionally, vectors are used to define fuzzy concepts and matrices are used to define a fuzzy mapping between fuzzy conditions and conclusions. This approach, however, does not satisfy the existing condition property, i.e., when a fuzzy input data exactly matches to a fuzzy condition, fuzzy output data should be mapped to a corresponding fuzzy conclusion. Alternatively, we propose a parameterized approach in which every fuzzy concept is described by a parameterized standard function, including fuzzy conditions and fuzzy conclusions. A fuzzy IF-THEN-ELSE rule takes the parameterized fuzzy concept as an input, and produces a standard function with new parameters as an output. New parameters are determined by a parameterwise interpolation. That is, each output parameters are determined by interpolating parameters of the same class contained in fuzzy conclusions. Obviously, the proposed scheme always satisfies the existing condition property.

• 한국공간정보시스템학회 논문지
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• 제3권2호
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• pp.5-19
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• 2001

우리나라는 국가기본지리정보(NGIS) 사업에 의해 전국적인 수치지형도가 구축되어 있어 어느 지역에서나 수치표고자료를 제작하여 활용이 가능하게 되었다. 정확한 수치표고모형을 제작하기 위해서는 적용되는 보간 방법과, 적합한 격자크기의 선정이 중요하다. 수치표고모형 제작과 관련된 국내의 기존 연구는 여러 번 있었으나, 우리나라의 다양한 지형적 특색을 고려하지는 못하였다. 본 연구에서는 우리나라의 수치표고모형 구축을 위하여 지형별로 적합한 보간 방법과 알맞은 격자크기를 제시하였다. 이를 통해 풍기지역을 산악지, 구릉지, 도심지, 농경지의 특성 지역으로 나누고, 축척 1/5000의 수치지형도를 이용하여 다양한 보간 방법과 격자크기로 수치표고모형을 제작하였으며 항공측량을 통해 추출한 고도 데이타를 이용하여 정확도를 검증하였다. 연구 결과 지형적 특성에 적합한 보간 방법을 비교 분석한 결과, Kriging방법이 모든 지형에서 TIN방법에 비하여 우수하게 나타났으며, 지형특성별로 격자크기를 실험한 결과 DEM을 구축할 경우에 산악지나 구릉지는 10m 격자간격으로, 그리고 도심지나 농경지는 30m 격자간격으로 DEM을 구축하는 것이 가장 적합하다는 결론을 도출하였다.

• Structural Engineering and Mechanics
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• 제75권4호
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• pp.519-527
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• 2020

Dynamic analysis of a vehicle-track coupling system is important to structural design, damage detection and condition assessment of the structural system. Deterministic analysis of the vehicle-track coupling system has been extensively studied in the past, however, the structural parameters of the coupling system have uncertainties in engineering practices. It is essential to treat the parameters of the vehicle-track coupling system with consideration of uncertainties. In this paper, a method for predicting the bounds of the vehicle-track coupling system responses with uncertain parameters is presented. The uncertain system parameters are modeled as fuzzy variables instead of conventional random variables with known probability distributions. Then, the dynamic response functions of the coupling system are transformed into a component function based on the high dimensional representation approximation. The Lagrange interpolation method is used to approximate the component function. Finally, the bounds of the system's dynamic responses can be predicted by using Monte Carlo method for the interpolation polynomials of the Lagrange interpolation function. A numerical example is introduced to illustrate the ability of the proposed method to predict the bounds of the system's dynamic responses, and the results are compared with the direct Monte Carlo method. The results show that the proposed method is effective and efficient to predict the bounds of the system's dynamic responses with fuzzy variables.