• Structural Engineering and Mechanics
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• 제17권1호
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• pp.113-140
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• 2004

A mixed eight-node hexahedral element formulated via the Hu-Washizu principle as well as the field extrapolation technique is presented. The mixed element with only three translational degrees of freedom at each node can provide extremely accurate and reliable performance for popular benchmark problems such as spacial beams, plates, shells as well as general three-dimensional elasticity problems. Numerical calculations also show that when extremely skewed and coarse meshes and nearly incompressible materials are used, the proposed mixed element can still possess excellent behaviour. The mixed formulation starts with introduction of a parallelepiped domain associated with the given general eight-node hexahedral element. Then, the assumed strain field at the nodal level is constructed via the Hu-Washizu variational principle for that associated parallelepiped domain. Finally, the assumed strain field at the nodal level of the given hexahedral element is established by using the field extrapolation technique, and then by using the trilinear shape functions the assumed strain field of the whole element domain is obtained. All matrices involved in establishing the element stiffness matrix can be evaluated analytically and expressed explicitly; however, a 24 by 24 matrix has to be inverted to construct the displacement extrapolation matrix. The proposed hexahedral element satisfies the patch test as long as the element with a shape of parallelepiped.

• Nuclear Engineering and Technology
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• 제55권12호
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• pp.4350-4356
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• 2023

Radiation detection systems working at high count rates suffer from the overlapping of their output electric pulses, known as pulse pile-up phenomenon, resulting in spectrum distortion and degradation of the energy resolution. Pulse tail extrapolation is a pile-up correction method which tries to restore the shifted baseline of a piled-up pulse by extrapolating the overlapped part of its preceding pulse. This needs a mathematical model which is almost always nonlinear, fitted usually by a nonlinear least squares (NLS) technique. NLS is an iterative, potentially time-consuming method. The main idea of the present study is to replace the NLS technique by an integration-based non-iterative method (NIM) for pulse tail extrapolation by an exponential model. The idea of linear extrapolation, as another non-iterative method, is also investigated. Analysis of experimental data of a NaI(Tl) radiation detector shows that the proposed non-iterative method is able to provide a corrected spectrum quite similar with the NLS method, with a dramatically reduced computation time and complexity of the algorithm. The linear extrapolation approach suffers from a poor energy resolution and throughput rate in comparison with NIM and NLS techniques, but provides the shortest computation time.

• 지구물리와물리탐사
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• 제1권2호
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• pp.116-126
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• 1998

본 논문은 파동장의 심도방향으로의 외삽(extrapolation) 을 사용한 데이터밍 기법을 소개한다. 개발된 기법은 phase-shift, split-step, 또는 유한차분과 같은 다양한 파동장 외삽기법들을 사용할 수 있다. 데이터밍 알고리즘을 유도하기 위해, 우선 평면에 정의 되어 있는 파동장을 임의의 굴곡을 갖는 면으로 외삽을 수행하는 모델링 연산자를 대수학적으로 구한 후, 본 모델링 연산자에 어드조인트(adjoint)관계에 있는 연산자를 대수학적으로 구하여 데이터밍 연산자를 얻었다. 다양한 외삽방법을 사용한 데이터밍 알고리즘의 실험에서 매우 만족스러운 결과를 얻을 수 있었다.

• 대한전자공학회논문지
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• 제21권1호
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• pp.25-31
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• 1984

본 논문에서는 시간제한신호에 있어서 종래의 반복외삽법의 전 과정을 단일한 연산으로 나타낼 수 있는 외삽행렬을 이용한 신호재생방법에 관한 알고리즘을 고안하고 또한 컴퓨터를 이용한 모의실험을 통하여 제안된 알고리즘을 초음파 진단장치에 적용, 정확성과 고속적인 측면에서 그 효용성을 입증하였다.

• 대한전자공학회논문지
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• 제27권2호
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• pp.31-38
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• 1990

외삽기법을 시용하여 실내의 소형 안테나 레이지에서 안테나 이득을 측정할 수 있는 시스템을 개발하였다. 외삽기법은 안테나의 절대이득 측정에 보통 사용되는 2-안테나 방법과 유사한데 가까운거리 구간에서 수신되는 신호의 크기를 거리의 함수로 연속적으로 측정한 후 외삽법을 사용한 신호처리로 무한거리에서 수신되는 신호의 크기를 계산함으로써 안테나의 원역장 이득을 구할 수 있다. 또한 원역장 이득과 근역보정인자를 결합하여 근역장 이득을 안테나로부터의 거리의 함수로 구하는 것도 가능하다. 이 외삽기법을 사용하여 측정한 표준이득 혼 안테나와 OEC 안테나의 이득 측정결과를 고찰하였다.

• 한국통신학회논문지
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• 제36권4C호
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• pp.207-216
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• 2011

움직임 보상 외삽 기법은 움직임 보상 보간 기법에 비해서 과거의 프레임만 사용하기 때문에 성능은 다소 떨어지지만, 전송 중에 손상된 프레임의 복원 및 프레임율 증가 뿐 아니라 분산 동영상 부호화 시스템의 부가 정보 생성에도 활용될 수 있다. 본 논문에서는 다양한 움직임 보상 외삽 기법의 성능을 평가하고 순방향과 역방향 움직임 추정을 함께 이용한 효율적인 움직임 보상 외삽 기법을 제안한다. 제안하는 기법은 순방향과 역방향 움직임 추정을 통해 두 개의 프레임을 생성하여 두 프레임의 화소값의 평균을 현재 프레임으로 한다. 모의 실험 결과 제안하는 기법이 기존의 기법에 비해서 블록 현상이 감소하고 우수한 PSNR 성능을 보임을 확인하였다.

• 대한수학회지
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• 제51권4호
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• pp.679-702
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• 2014

Investigation of the numerical solution of singularly perturbed turning point problems dates back to late 1970s. However, due to the presence of layers, not many high order schemes could be developed to solve such problems. On the other hand, one could think of applying the convergence acceleration technique to improve the performance of existing numerical methods. However, that itself posed some challenges. To this end, we design and analyze a novel fitted operator finite difference method (FOFDM) to solve this type of problems. Then we develop a fitted mesh finite difference method (FMFDM). Our detailed convergence analysis shows that this FMFDM is robust with respect to the singular perturbation parameter. Then we investigate the effect of Richardson extrapolation on both of these methods. We observe that, the accuracy is improved in both cases whereas the rate of convergence depends on the particular scheme being used.

• Structural Engineering and Mechanics
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• 제66권5호
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• pp.557-568
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• 2018

An investigation is made in the present work on the post-buckling and geometrically nonlinear behaviors of moderately thick perfect and imperfect rectangular plates made-up of functionally graded materials. Spectral collocation approach based on Legendre basis functions is developed to analyze the functionally graded plates while they are subjected to end-shortening strain. The material properties in this study are varied through the thickness according to the simple power law distribution. The fundamental equations for moderately thick rectangular plates are derived using first order shear deformation plate theory and taking into account both geometric nonlinearity and initial geometric imperfections. In the current study, the domain of interest is discretized with Legendre-Gauss-Lobatto nodes. The equilibrium equations will be obtained by discretizing the Von-Karman's equilibrium equations and also boundary conditions with finite Legendre basis functions that are substituted into the displacement fields. Due to effect of geometric nonlinearity, the final set of equilibrium equations is nonlinear and therefore the quadratic extrapolation technique is used to solve them. Since the number of equations in this approach will always be more than the number of unknown coefficients, the least squares technique will be used. Finally, the effects of boundary conditions, initial geometric imperfection and material properties are investigated and discussed to demonstrate the validity and capability of proposed method.

• Smart Structures and Systems
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• 제17권6호
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• pp.995-1015
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• 2016

In the design and condition assessment of bridges, it is usually necessary to take into consideration the extreme conditions which are not expected to occur within a short time period and thus require an extrapolation from observations of limited duration. Long-term structural health monitoring (SHM) provides a rich database to evaluate the extreme conditions. This paper focuses on the extrapolation of extreme traffic load effects on bridges using long-term monitoring data of structural strain. The suspension Tsing Ma Bridge (TMB), which carries both highway and railway traffic and is instrumented with a long-term SHM system, is taken as a testbed for the present study. Two popular extreme value extrapolation methods: the block maxima approach and the peaks-over-threshold approach, are employed to extrapolate the extreme stresses induced by highway traffic and railway traffic, respectively. Characteristic values of the extreme stresses with a return period of 120 years (the design life of the bridge) obtained by the two methods are compared. It is found that the extrapolated extreme stresses are robust to the extrapolation technique. It may owe to the richness and good quality of the long-term strain data acquired. These characteristic extremes are also compared with the design values and found to be much smaller than the design values, indicating conservative design values of traffic loading and a safe traffic-loading condition of the bridge. The results of this study can be used as a reference for the design and condition assessment of similar bridges carrying heavy traffic, analogous to the TMB.

• Kyungpook Mathematical Journal
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• 제62권4호
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• pp.673-687
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• 2022

In this study, we solve the Cayley inclusion problem and the fixed point problem in real Hilbert space using Tseng's technique with inertial extrapolation in order to obtain more efficient results. We provide a strong convergence theorem to approximate a common solution to the Cayley inclusion problem and the fixed point problem under some appropriate assumptions. Finally, we present a numerical example that satisfies the problem and shows the computational performance of our suggested technique.