• Title/Summary/Keyword: new numerical procedure

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Structural Optimization by Global-Local Approximations Structural Reanalysis based on Substructuring (부구조화 기반 전역-부분 근사화 구조재해석에 의한 구조최적화)

  • 김태봉;서상구;김창운
    • Journal of the Korean Society of Safety
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    • v.12 no.3
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    • pp.120-131
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    • 1997
  • This paper presents an approximate reanalysis methods of structures based on substructuring for an effective optimization of large-scale structural systems. In most optimal design procedures the analysis of the structure must be repeated many times. In particular, one of the main obstacles in the optimization of structural systems are involved high computational cost and expended long time in the optimization of large-scale structures. The purpose of this paper is to evaluate efficiently the structural behavior of new designs using information from previous ones, without solving basic equations for successive modification in the optimal design. The proposed reanalysis procedure is combined Taylor series expansions which is a local approximation and reduced basis method which is a global approximation based on substructuring. This technique is to choose each of the terms of Taylor series expansions as the basis vector of reduced basis method in substructuring system which is one of the most effective analysis of large -scale structures. Several numerical examples illustrate the effectiveness of the solution process.

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Treatment of locking behaviour for displacement-based finite element analysis of composite beams

  • Erkmen, R. Emre;Bradford, Mark A.;Crews, Keith
    • Structural Engineering and Mechanics
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    • v.51 no.1
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    • pp.163-180
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    • 2014
  • In the displacement based finite element analysis of composite beams that consist of two Euler-Bernoulli beams juxtaposed with a deformable shear connection, the coupling of the displacement fields may cause oscillations in the interlayer slip field and reduction in optimal convergence rate, known as slip-locking. In this study, the B-bar procedure is proposed to alleviate the locking effects. It is also shown that by changing the primary dependent variables in the mathematical model, to be able to interpolate the interlayer slip field directly, oscillations in the slip field can be completely eliminated. Examples are presented to illustrate the performance and the numerical characteristics of the proposed methods.

ORTHOGONAL DISTANCE FITTING OF ELLIPSES

  • Kim, Ik-Sung
    • Communications of the Korean Mathematical Society
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    • v.17 no.1
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    • pp.121-142
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    • 2002
  • We are interested in the curve fitting problems in such a way that the sum of the squares of the orthogonal distances to the given data points is minimized. Especially, the fitting an ellipse to the given data points is a problem that arises in many application areas, e.g. computer graphics, coordinate metrology, etc. In [1] the problem of fitting ellipses was considered and numerically solved with general purpose methods. In this paper we present another new ellipse fitting algorithm. Our algorithm if mainly based on the steepest descent procedure with the view of ensuring the convergence of the corresponding quadratic function Q(u) to a local minimum. Numerical examples are given.

Segmentation of Movie Consumption : An Application of Latent Class Analysis to Korean Film Industry (잠재계층분석기법(Latent Class Analysis)을 활용한 영화 소비자 세분화에 관한 연구)

  • Koo, Kay-Ryung;Lee, Jang-Hyuk
    • Journal of the Korean Operations Research and Management Science Society
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    • v.36 no.4
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    • pp.161-184
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    • 2011
  • As movie demands become more and more diversified, it is necessary for movie related firms to segment a whole heterogeneous market into a number of small homogeneous markets in order to identify the specific needs of consumer groups. Relevant market segmentation helps them to develop valuable offer to target segments through effective marketing planning. In this article, we introduce various segmentation methods and compare their advantages and disadvantages. In particular, we analyze "2009~2010 consumer survey data of Korean Film Industry" by using Latent Class Analysis(LCA), a statistical segmentation method which identifies exclusive set of latent classes based on consumers' responses to an observed categorical and numerical variables. It is applied PROC LCA, a new SAS procedure for conducting LCA and finally get the result of 11 distinctive clusters showing unique characteristics on their buying behaviors.

A Study on the Improvements of Radiation Characteristics of Slot Antenna by Coupling of a Strip Scatterer (스티립형 산란도체에 의한 슬롯안테나의 복사 특성에 관한 연구)

  • Hur, Jung;Lee, Choong-Woong
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.11
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    • pp.1712-1720
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    • 1989
  • We propose a new radiating structure composed of a strip and a slot excited by an ideal current source, and electromagnetic analysis for the structure is presented. By the analysis procedure which is based upon equivalence formulated. Through the numerical computations to solve the equations by employing the method of moments, we ascertained that the suitable choice of the location and the size of strip guarantee the improvement of the radiation characteristics of antenna.

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Complementarity and nonlinear structural analysis of skeletal structures

  • Tin-Loi, F.
    • Structural Engineering and Mechanics
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    • v.5 no.5
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    • pp.491-505
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    • 1997
  • This paper deals with the formulation and solution of a wide class of structures, in the presence of both geometric and material nonlinearities, as a particular mathematical programming problem. We first present key ideas for the nonholonomic (path dependent) rate formulation for a suitably discretized structural model before we develop its computationally advantageous stepwise holonomic (path independent) counterpart. A feature of the final mathematical programming problem, known as a nonlinear complementarity problem, is that the governing relations exhibit symmetry as a result of the introduction of so-called nonlinear "residuals". One advantage of this form is that it facilitates application of a particular iterative algorithm, in essence a predictor-corrector method, for the solution process. As an illustrative example, we specifically consider the simplest case of plane trusses and detail in particular the general methodology for establishing the static-kinematic relations in a dual format. Extension to other skeletal structures is conceptually transparent. Some numerical examples are presented to illustrate applicability of the procedure.

Direct Nonlinear Strut-Tie Model Using Secant Stiffness (할선강성을 이용한 직접 비선형 스트럿-타이 모델)

  • 김윤곤;엄태성;박홍근
    • Proceedings of the Korea Concrete Institute Conference
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    • 2003.11a
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    • pp.384-387
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    • 2003
  • A new Direct Nonlinear Strut-Tie Model design method performing iterative calculations using secant stiffness was developed. Since basically the proposed design method uses elastic analysis, it has the advantages of convenience and stability in numerical analysis. At the same time, the proposed design method can accurately estimate the strength and ductility demands on the members because it analyzes the inelastic behavior of structure using iterative calculation. In the present study, the procedure of the proposed design method was established, and a computer program incorporating the proposed method was developed. The proposed design method, as an integrated method of analysis and design, can address the earthquake design strategy devised by the engineer, such as ductility limit on each member. Through iterative calculations on the structure preliminary designed with member sizes, the strength and ductility demands of each member can be estimated so that they satisfy the given design strategy, and as the result economical and safe design is achieved.

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A Study On Identification Of A Linear Discrete System When The Statistical Characteristics Of Observation Noise Are Unknown (측정잡음의 통계적 성질이 미지인 경우의 선형 이산치형계통의 동정에 관한 연구)

  • 하주식;박장춘
    • 전기의세계
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    • v.22 no.4
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    • pp.17-24
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    • 1973
  • In the view point of practical engineering the identification problem may be considered as a problem to determine the optimal model in the sense of minimizing a given criterion function using the input-output records of the plant. In the system identification the statistical approach has been known to be very effective when the topological structure of the system and the statistical characteristics of the observation noises are known a priori. But in the practical situation there are many cases when the inforhation about the observation noises or the system noises are not available a priori. Here, the authors propose a new identification method which can be used effectively even in the cases when the variances of observation noises are unknown a priori. In the method, the identification of unknown parameters of a linear diserete system is achieved by minimizing the improved quadratic criterion function which is composed of the term of square equation errors and the term to eliminate the affection of observation noises. The method also gives the estimate of noise variance. Numerical computations for several examples show that the proposed procedure gives satisfactory results even when the short time observation data are provided.

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Design of Fuzzy PID Controller Using GAs and Estimation Algorithm (유전자 알고리즘과 Estimation기법을 이용한 퍼지 제어기 설계)

  • Roh, Seok-Beom;Oh, Sung-Kwun
    • Proceedings of the KIEE Conference
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    • 2001.11c
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    • pp.416-419
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    • 2001
  • In this paper a new approach to estimate scaling factors of fuzzy controllers such as the fuzzy PID controller and the fuzzy PD controller is presented. The performance of the fuzzy controller is sensitive to the variety of scaling factors[1]. The desist procedure dwells on the use of evolutionary computing(a genetic algorithm) and estimation algorithm for dynamic systems (the inverted pendulum). The tuning of the scaling factors of the fuzzy controller is essential to the entire optimization process. And then we estimate scaling factors of the fuzzy controller by means of two types of estimation algorithms such as Neuro-Fuzzy model, and regression polynomial [7]. This method can be applied to the nonlinear system as the inverted pendulum. Numerical studies are presented and a detailed comparative analysis is also included.

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Multi-dimensional Limiting Strategy for Robust, Accurate and Efficient Computations of Compressible Flows on Unstructured Meshes

  • Park, Jin-Seok;Yoon, Sung-Hwan;Kim, Chon-Gam
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03a
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    • pp.378-385
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    • 2008
  • The present paper deals with the accurate and robust limiting procedure for the multi-dimensional flow analysis on unstructured meshes. The multi-dimensional limiting process (MLP) which was successfully proposed on structured grid system is extended to unstructured meshes. Based on MUSCL-type framework on unstructured meshes, the new slope limiter is devised to satisfy the MLP condition, which is quite effective to regulate the unwanted oscillations, especially on multiple dimensions. Considering the neighborhood based on the vertex of the cell, as well as the edge, this limiting strategy captures the multi-dimensional flow features very accurately with the proper stencils. From the various numerical results, these desirable characteristics of the proposed limiting strategy are clearly shown.

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