• Coupled systems mechanics
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• 제8권6호
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• pp.537-553
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• 2019

In this paper we present geometrically exact Kirchhoff's initially curved planar beam model. The theoretical formulation of the proposed model is based upon Reissner's geometrically exact beam formulation presented in classical works as a starting point, but with imposed Kirchhoff's constraint in the rotated strain measure. Such constraint imposes that shear deformation becomes negligible, and as a result, curvature depends on the second derivative of displacements. The constitutive law is plasticity with linear hardening, defined separately for axial and bending response. We construct discrete approximation by using Hermite's polynomials, for both position vector and displacements, and present the finite element arrays and details of numerical implementation. Several numerical examples are presented in order to illustrate an excellent performance of the proposed beam model.

• 한국정보처리학회:학술대회논문집
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• 한국정보처리학회 2016년도 추계학술발표대회
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• pp.716-718
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• 2016

본 논문에서는 실시간 메쉬 모델의 형태 분석 처리가 가능하도록 하기 위한 효율적 이산 곡률 근사 방법을 제안한다. 메쉬 이산 곡률을 계산하는 기존 방법들의 경우, 각 정점(vertex) 별로 인접면(face)에대한 인접 순서등 인접 정점과 인접면과의 관계에 대한 사전 분석이 요구된다. 또한, 인접 정점과의 관계 분석을 위하여 고유치 분석 등 높은 계산 비용을 요구한다. 이에 비해, 제안 방법은 각 정점별로 정렬되지 않은 인접 정점의 위치 정보만으로 이산 곡률을 계산함에 따라 계산 부담이 적은 반면, 기존에 Taubin의 방법을 적용한 결과에 비해 정확한 곡률 계산 결과를 보여 주었다. 곡률 계산의 정확성은 다양한 형태의 메쉬 모델들에 대한 기존 방법과의 비교 실험을 통하여 입증하였다.

• 제어로봇시스템학회논문지
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• 제4권1호
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• pp.76-81
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• 1998

This paper presents an on-line scheme for parameter estimation of continuous-time systems, based on the model adjustment technique and the genetic algorithm technique. To deal with the initialisation and unmeasurable signal problems in on-line parameter estimation of continuous-time systems, a discrete-time model is obtained for the linear differential equation model and approximations of unmeasurable states with the observable output and its time-delayed values are obtained for the nonlinear state space model. Noisy observations may affect these approximation processes and degrade the estimation performance. A digital prefilter is therefore incorporated to avoid direct approximations of system derivatives from possible noisy observations. The parameters of both the model and the designed filter are adjusted on-line by a genetic algorithm, A set of simulation works for linear and nonlinear systems is carried out to demonstrate the effectiveness of the proposed method.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제23권4호
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• pp.351-365
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• 2019

This article presents a new approach for conformal flattening with optimal cone singularity. The algorithm here takes an optimal control for selecting optimal cones and uses the Ricci flow to force the flattening. This work is considered as a modification to the work of Soliman et al. [1] in the sense that they make use of the Yamabe equation for the flattening, which is an approximation of the Ricci flow. We present a numerical algorithm based on the optimal control with the mathematical background. Several numerical results validate that our method is optimal in total cone angle and usage of the Ricci flow ensures the conformal flattening while selecting optimal cones.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제10권7호
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• pp.3171-3191
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• 2016

Due to growing demand on wireless data traffic, a large number of different types of base stations (BSs) have been installed. However, space-time dependent wireless data traffic densities can result in a significant number of idle BSs, which implies the waste of power resources. To deal with this problem, we propose an active state control algorithm based on semi-Markov decision process (SMDP) for a heterogeneous network. A MDP in discrete time domain is formulated from continuous domain with some approximation. Suboptimal on-line learning algorithm with a random policy is proposed to solve the problem. We explicitly include coverage constraint so that active cells can provide the same signal to noise ratio (SNR) coverage with a targeted outage rate. Simulation results verify that the proposed algorithm properly controls the active state depending on traffic densities without increasing the number of handovers excessively while providing average user perceived rate (UPR) in a more power efficient way than a conventional algorithm.

• Communications for Statistical Applications and Methods
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• 제20권6호
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• pp.439-454
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• 2013

This study presents a Bayesian multiple change-point detection approach to segment and classify the observations that no longer come from an initial population after a certain time. Inferences are based on the multiple change-points in a sequence of random variables where the probability distribution changes. Bayesian multiple change-point estimation is classifies each observation into a segment. We use a truncated Poisson distribution for the number of change-points and conjugate prior for the exponential family distributions. The Bayesian method can lead the unsupervised classification of discrete, continuous variables and multivariate vectors based on latent class models; therefore, the solution for change-points corresponds to the stochastic partitions of observed data. We demonstrate segmentation with real data.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1997년도 하계학술대회 논문집 B
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• pp.717-719
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• 1997

This paper discusses approximate modelling of discrete-time linear time-varying system(LTVS). The wavelet transform is considered as a tool for representing and approximating a LTVS. The joint time-frequency properties of wave analysis are appropriate for describing the LTVS. Simulatly results is included to illustrate the popential application of the technique.

• 충청수학회지
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• 제25권2호
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• pp.367-377
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• 2012

The goal of the image restoration is to find a good approximation of the original image for the degraded image, the blurring matrix, and the statistics of the noise vector given. Fast truncated Lagrange (FTL) method has been proposed by G. Landi as a image restoration method for large-scale ill-conditioned BTTB linear systems([3]). We implemented FTL method for the image restoration problem with reflective boundary condition which gives better reconstructions of the unknown, the true image.

• 통합자연과학논문집
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• 제2권2호
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• pp.59-64
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• 2009

금속 나노 입자의 표면편재 플라즈몬 공명 주파수에 영향을 미치는 금속의 유전율은 조사된 빛의 파장 값에 의존하는 함수로 표현된다. 본 연구에서는 유전율의 실수부와 허수부 값을 체계적으로 변화시킬 수 있는 가상의 금속 나노 막대를 대상으로, 이산 쌍극자 근사(Discrete dipole approximation)를 사용하여, 광학적 성질을 계산하였다. 계산 결과, 유전율 함수의 실수부가 선형적으로 감소하는 경우에는 금속의 크기가 커짐에 따라 최대 소광이 나타나는 피크가 긴 파장영역으로 이동했고, 반대로 실수부가 선형적으로 증가하는 경우에는 최대 소광이 나타나는 피크가 짧은 파장영역으로 이동함을 알 수 있었다. 허수부 값을 증가시켰을 경우에는, 실수부에 관계없이 그 값이 증가함에 따라 피크의 세기가 감쇠하는 경향을 보였다.

• 산업기술연구
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• 제14권
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• pp.19-28
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• 1994

일반적으로 2차원 Poisson 방정식을 풀기 위해 유한 차분법을 이용하여 tridiagonal block Toeplitz 선형방정식을 얻는다. 이 선형방정식의 독특한 형태를 활용하기 위해 Lyapunov 방정식으로 변화시킨 다음 이산정현변환(DST)을 이용해서 대각선 행렬로 만들면 계산이 용이해진다. 또 DST는 FFT를 이용해 계산할 수 있으므로 고속 계산이 가능하다. FFT를 병렬로 처리하기 위해 프로세서가 4,096개인 SIMD 컴퓨터 MP-2에서 시뮬레이션했다. 본 논문에서는 알고리즘 유도, 매핑 및 시뮬레이션 결과를 제시했다.