• Title/Summary/Keyword: 연속근사법

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The East Moving Least Square Reproducing Kernel Approximation and Point Collocation Method (고속 최소 자승법을 이용한 점별 계산법)

  • 김용식;김도완
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.10a
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    • pp.567-574
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    • 2002
  • 새로운 자유격자 관사를 이용한 점별 계산법을 제안한다 이동 최소 자승법을 이용한 기저의 생성과 기저의 근사적 미분을 동시에 구해내는 자유격자 근사를 유도하여, 직접 점별 계산법을 고안하였다. 기존의 자유 격자 법에서는 기저의 직접 미분을 사용하므로 높은 계산 비용이 필요하지만, 이 논문에서 제안된 방법은 기저의 생성과 동시에 기저의 근사적 미분을 구하게 된다. 또한 기존의 방법에서 필요하였던, 창 함수(window function)의 미분가능성을 연속성으로 대치할 수 있으므로, 주어진 문제에 따라 다양한 창 함수를 이용할 수 있다. 기저의 재생성과 interpolation의 수렴성을 소개하고, 수치 예제로서, Poisson 문제를 통해 이 방법의 유효함을 보인다.

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A Study on the Convergence Characteristics for the Solution of Transfer Matrix Method (전달매트릭스법에 있어서 해의 수험특성에 관한 연구)

  • 김영식
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.26 no.3
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    • pp.282-287
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    • 1990
  • In this paper, it has been analysed that the stability and the effectivity of the solution using traditional transfer matrix method. And applying the false-position method to these, the convergence characteristics of the solution has been also analysed. As a result, the frontal transfer matrix method is superior to traditional transfer matrix method in the stability and the accuracy of the solution in high frequency region but in the economical efficiency and the effectivity of the calculation, traditional transfer matrix method is more desiable. Also, it is clear that $\omega-Det$ curve using the frontal transfer matrix method is discontinuous.

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Comparison and Evaluation of Various Spatial Interpolation Methods (다양한 공간 보간법의 비교와 평가)

  • Kim, Tae Beom;Kim, Il Hwan
    • Proceedings of the Korea Water Resources Association Conference
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    • 2018.05a
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    • pp.247-247
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    • 2018
  • 공학이나 과학에서 다루는 거의 모든 현상이나 물체는 시공간적으로 연속성을 지니고 있으며, 지형이나 지하수위분포가 대표적인 사례에 해당한다. 강수량 분포 또한 지역적인 스케일을 고려할 때 연속성을 지니고 있다고 가정될 수 있다. 이러한 연속성을 지닌 현상이나 물체를 연구 대상으로 취할 경우, 모든 위치에서의 관찰 값이나 계산 값을 얻기란 불가능하므로, 불연속적이거나 이산적인 위치에서 불연속적인 값을 얻게 된다. 이러한 시공간적으로 이산적이고 불연속적인 자료를 바탕으로 어떠한 작업을 수행하고자 할 때 자료의 연속성을 가정하게 되며, 따라서 연속성을 가정하고 내삽 처리된 근사값을 이용하게 된다. 따라서 불연속적인 자료의 내삽 처리 과정이 연구 결과의 성패를 좌우할 만큼 매우 중요할 수 있다. 하지만 대다수의 연구자나 실무자들은 내삽 처리의 중요성을 간과하고 있으며, 자료처리나 준비 과정에서 거쳐야하는 하나의 단순한 단계로만 여길 뿐이다. 따라서, 본 연구에서는 역거리 가중치법(Reciplocal Inverse Distance method), 역거리 제곱 가중치법(Inverse Square Distance method), Dual Kriging법, Hardy의 Multiquadric법, Completely Regularized spline법, 삼각망법(TIN) 등 기존에 알려진 공간자료 보간법에 대해서 소개하며, 알려져 있는 공간함수를 이용하여 다양한 경우에 대한 비교, 분석을 수행한다. 보간법의 종류에 따라 내삽 결과는 매개변수 값에 지대한 영향을 받을 수 있기 때문에, 매개변수에 따른 내삽 결과를 분석하고, 정확성과 적용성 등 다양한 내삽기법들에 대해서 평가한다.

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A Study on TSIUVC Approximate-Synthesis Method using Least Mean Square and Frequency Division (주파수 분할 및 최소 자승법을 이용한 TSIUVC 근사합성법에 관한 연구)

  • 이시우
    • Journal of Korea Multimedia Society
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    • v.6 no.3
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    • pp.462-468
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    • 2003
  • In a speech coding system using excitation source of voiced and unvoiced, it would be involved a distortion of speech quality in case coexist with a voiced and an unvoiced consonants in a frame. So, I propose TSIUVC(Transition Segment Including Unvoiced Consonant) searching and extraction method in order to uncoexistent with a voiced and unvoiced consonants in a frame. This paper present a new method of TSIUVC approximate-synthesis by using Least Mean Square and frequency band division. As a result, this method obtain a high quality approximation-synthesis waveforms within TSIUVC by using frequency information of 0.547KHz below and 2.813KHz above. The important thing is that the maximum error signal can be made with low distortion approximation-synthesis waveform within TSIUVC. This method has the capability of being applied to a new speech coding of Voiced/Silence/TSIUVC, speech analysis and speech synthesis.

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Discrete Optimization of Unsymmetric Composite Laminates Using Linear Aproximation Method (선형 근사화방법을 이용한 비대칭 복합 적층평판의 이산최적화)

  • 이상근;구봉근;한상훈
    • Computational Structural Engineering
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    • v.10 no.2
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    • pp.255-263
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    • 1997
  • The optimum design of most structural systems used in practice requires considering design variables as discrete quantities. The present paper shows that the linear approximation method is very effective as a tool for the discrete optimum designs of unsymmetric composite laminates. The formulated design problem is subjected to a multiple in-plane loading condition due to shear and axial forces, bending and twisting moments, which is controlled by maximum strain criterion for each of the plys of a composite laminate. As an initial approach, the process of continuous variable optimization by FDM is required only once in operating discrete optimization. The nonlinear discrete optimization problem that has the discrete and continuous variables is transformed into the mixed integer programming problem by SLDP. In numerical examples, the discrete optimum solutions for the unsymmetric composite laminates consisted of six plys according to rotated stacking sequence were found, and then compared the results with the nonlinear branch and bound method to verify the efficiency of present method.

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A Simplified Method of Drawing Influence Lines for Continuous Beams (연속(連續)보의 영향선(影響線) 작도(作圖)에 관한 한 편법(便法))

  • Yang, Chang Hyun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.3
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    • pp.45-57
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    • 1993
  • In case of the analysis of continuous beams, the complexity increases greatly as the number of spans becomes large, and even the slope-deflection method or the moment distribution method is subject to restriction in its utilization. In this study, a revised exact method is developed for the analysis of continuous beams up to four spans, and a new approximate method is proposed for the multi-span continuous beams. This approximate procedure is very simple in its application and provides very satisfactory results which converge closely on the exact ones. These methods can also be used conveniently especially for drawing influence lines for the support moments of continuous beams, and their value is fully appreciated because of notable simpleness as compared with the conventional method which is mainly based on the Muller-Breslau principle.

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Comparative Studies of Topology Optimization Using Continuous Approximation of Material Distribution (재료분포의 연속적인 근사를 이용한 위상최적설계 방법의 비교 연구)

  • Lim, Young-Seok;Yoo, Jeong-Hoon;Terada, Kenjiro;Nishiwaki, Shin-Ji;Min, Seung-Jae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.2 s.245
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    • pp.164-170
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    • 2006
  • To prevent the numerical instabilities in topology optimization, continuous approximation of material distribution (CAMD) is proposed to the homogenization design method (HDM) and the simple isotropic material with penalization (SIMP) method. The continuous FE approximation of design variables including high order elements is applied to the formulation of SIMP method. Numerical examples are presented to compare the efficiency of CAMD both in HDM and SIMP.

Structural Design of Piezoelectric Actuator Considering Polarization Direction and Continuous Approximation of Material Distribution (분극방향과 재료분포의 연속적 근사방법을 고려한 압전형 액추에이터의 구조설계)

  • Lim, Young-Seok;Yoo, Jeong-Hoon;Min, Seung-Jae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.9 s.252
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    • pp.1102-1109
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    • 2006
  • In this paper, the polarization of piezoelectric materials is considered to improve actuation since the piezoelectric polarization has influences on the performance of the actuator. The topology design of compliant mechanism can be formulated as an optimization problem of material distribution in a fixed design domain and continuous approximation of material distribution (CAMD) method has demonstrated its effectiveness to prevent the numerical instabilities in topology optimization. The optimization problem is formulated to maximize the mean transduction ratio subject to the total volume constraints and solved using a sequential linear programming algorithm. The effect of CAMD and the performance improvement of actuator are confirmed through Moonie actuator and PZT suspension design.

Study on the Dynamic Analysis of the Continuous System by Digital Modeling (이산화 기법에 의한 연속계의 동적 응답해석에 관한 연구)

  • 이용관;김인수;홍성욱;췌처린
    • Journal of KSNVE
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    • v.7 no.1
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    • pp.135-142
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    • 1997
  • This paper presents a digital modeling technique of the distributed system. The basic idea of the proposed technique is to discretize a continuous system with respect to the spatial coordinates using bilinear method. The response of the discretized system is analyzed by Laplace transform and z-transform. The computational results in torsional shaft and Timoshenko beam using the proposed technique are compared with the exact solutions and the results of finite element method.

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A New Approach to the Analysis of Continuous Beams (연속(連續)보의 해석(解析)에 관한 새로운 방법(方法)-모멘트 분배법(分配法)의 정식화(定式化))

  • Yang, Chang Hyun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.10 no.4
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    • pp.25-33
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    • 1990
  • The moment distribution method has been widely used for almost sixty years as an approximate method for the analysis of structural frames. The method is to calculate the end moments of structural members by iterative hand calculation. This study presents developements of closed form formulas which are derived basically from the moment distribution procedures. These formulas may provide simple forms and exact results which would overcome the disadvantages of the conventional moment distribution mothod, that is, approximation of the results and complexity of the procedures of the method. The proposed formulas may become one of the new procedures for analysis of statically indeterminate frames, and contribute specifically to the effective drawing of influence lines of continuous beams, which will provide a great deal of assistance in practical design of structures.

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