• Title/Summary/Keyword: orthogonal function

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A Optimization of Butterfly Valve using the Characteristic Function (특성함수를 이용한 Butterfly Valve의 최적설계)

  • Park, Young-Chul;Choi, Jong-Sub;Kang, Jin
    • Journal of Ocean Engineering and Technology
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    • v.19 no.3
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    • pp.59-65
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    • 2005
  • In today's industry, the butterfly valve has been used to control a flow effectively. However, it is difficult to have the existing structural optimization using field analysis from CFD to structure analysis when the structure is influenced by fluid. Therefore, an initial model of this study is to evaluate the stability of the valve using FEM and CFD. And, it selected variable using initial analysis results. Also, it accomplished the shape optimization design using the orthogonal arrangement and characteristic function. Research result, a few experiments showed the optimal results of there dimensional structures to be multi-objective.

GAUSSIAN QUADRATURE FORMULAS AND LAGUERRE-PERRON@S EQUATION

  • HAJJI S. EL;TOUIJRAT L.
    • Journal of applied mathematics & informatics
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    • v.18 no.1_2
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    • pp.205-228
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    • 2005
  • Let I(f) be the integral defined by : $I(f) = \int\limits_{a}^{b} f(x)w(x)dx$ with f a given function, w a nonclassical weight function and [a, b] an interval of IR (of finite or infinite length). We propose to calculate the approximate value of I(f) by using a new scheme for deriving a non-linear system, satisfied by the three-term recurrence coefficients of semi-classical orthogonal polynomials. Finally we studies the Stability and complexity of this scheme.

SYMMETRIC INTERPOLATING REFINABLE FUNCTION VECTORS

  • Kwon, Soon-Geol
    • Journal of applied mathematics & informatics
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    • v.25 no.1_2
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    • pp.495-503
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    • 2007
  • Symmetric interpolating refinable function vectors with compact support are of interest in several applications such as signal processing, image processing and computer graphics. It is known in [13] that orthogonal interpolating refinable function vectors can not be symmetric for multiplicity r = 2 and dilation d = 2. In this paper, we shall investigate symmetric interpolating refinable function vectors with compact support for multiplicity r = 2 and dilation d = 2 by omitting orthogonality. To illustrate our theorems and results in this paper, we shall also present some examples of symmetric interpolating refinable function vectors with compact support and high order of sum rules.

A Study on Design of Multivariable Equalizer for Transmission Distortion Compensation (전송왜곡보상용 다중가변등화기 설계에 관한 연구)

  • 김동석;최규훈;문홍진;김종교
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.27 no.6
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    • pp.921-928
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    • 1990
  • A multivariable equalizer is designed which compensates transmission distortion for coaxial transmission line. The characteristic transfer function with bilateral parameter domain is approximated using the expansion method of orthonormal function and Gram Schmidt orthogonal function, but the parameter domain of approximated function is limited to unilateral. To solve that problem, Bode type transfer function is used to give bilateral variable characteristic to approximated function. The multivariable equalizer in this paper can be substituted for the current equalizer which consist of a fixed equalizer and a variable equalizer.

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A Comparative Study on Approximate Models and Sensitivity Analysis of Active Type DSF for Offshore Plant Float-over Installation Using Orthogonal Array Experiment (직교배열실험을 이용한 해양플랜트 플로트오버 설치 작업용 능동형 DSF의 민감도해석과 근사모델 비교연구)

  • Kim, Hun-Gwan;Song, Chang Yong
    • Journal of the Korea Convergence Society
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    • v.12 no.3
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    • pp.187-196
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    • 2021
  • The paper deals with comparative study for characteristics of approximation of design space according to various approximate models and sensitivity analysis using orthogonal array experiments in structure design of active type DSF which was developed for float-over installation of offshore plant. This study aims to propose the orthogonal array experiments based design methodology which is able to efficiently explore an optimum design case and to generate the accurate approximate model. Thickness sizes of main structure member were applied to the design factors, and output responses were considered structure weight and strength performances. Quantitative effects on the output responses for each design factor were evaluated using the orthogonal array experiment. Best design case was also identified to improve the structure design with weight minimization. From the orthogonal array experiment results, various approximate models such as response surface model, Kriging model, Chebyshev orthogonal polynomial model, and radial basis function based neural network model were generated. The experiment results from orthogonal array method were validated by the approximate modeling results. It was found that the radial basis function based neural network model among the approximate models was able to approximate the design space of the active type DSF with the highest accuracy.

The Postprocessor Technology of for 5-axis Control Machining (5축가공을 위한 포스트프로세서 기술)

  • Jung, Hyoun-Chul;Hwang, Jong-Dae;Kim, Sang-Myung;Jung, Yoon-Gyo
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.10 no.2
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    • pp.9-15
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    • 2011
  • In order to develop a practical postprocessor for 5-axis machining, the general equations of numerically controlled (NC) data for 5-axis configurations with not only non-orthogonal rotary axes but also orthogonal rotary axes were exactly expressed by the inverse kinematics, and a Windows-based postprocessor written in Visual Basic was developed according to the proposed algorithm. The developed postprocessor is a general system that suitable for all kinds of 5-axis machine tool with orthogonal and non-orthogonal rotary axes. Through implementation of the developed postprocessor and verification by a cutting simulation and machining experiment, the effectiveness of the proposed algorithm is confirmed. Compatibility is improved by allowing exchange of data formats such as rotational tool center position (RTCP) controlled NC data, vector post NC data, and program object file (POF) cutter location (CL)data, and convenience is increased by adding the function of work-piece origin offset. Consequently, the technology of practical post-processor for 5-axis machining is developed.

Radius Measurement of Fillet Regions of Polygonal Models by using Optimum Orthogonal Planes (최적 근사 직교평면을 이용한 폴리곤 모델의 필렛 반지름 측정)

  • Han Y,-H.
    • Korean Journal of Computational Design and Engineering
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    • v.10 no.2
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    • pp.114-120
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    • 2005
  • This paper presents a novel method for radius measurement of fillet regions of polygonal models by using optimum onhogonal planes. The objective function for finding an optimum onhogonal plane is designed based on the orthogonality between the normal vectors of the faces in a filet region and the plane that is to be found. Direct search methods are employed to solve the defined optimization problem since no explicit derivatives of the object function can be calculated. Once an optimum orthogonal plane is obtained, the intersection between the onhogonal plane and the faces of interest is calculated, and necessary point data in the fillet region for measuring radii are extracted by some manipulation. Then, the radius of the fillet region in question is measured by least squares fitting of a circle to the extracted point data. The proposed radius measuring method could eliminate the burden of defining a plane for radius measurement, and automatically find a necessary optimum orthogonal plane. It has an advantage in that it can measure fillet radii without prior complicated segmentation of fillet regions and explicit information of neighboring surfaces. The proposed method is demonstrated trough some mea-surement examples.

BER Performance Analysis of Linear Orthogonal Space-Time Block Codes with Quadrature Amplitude Modulation in Quasi Static Rayleigh Fading Channel (QAM 변조방식을 갖는 선형 직교 시공간 블록 부호의 준정지 레일리 페이딩 채널에서의 비트 오율 성능 분석)

  • Kim Sang-Hyo;Yang Jae-Dong;No Jong-Seon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.31 no.6C
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    • pp.575-581
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    • 2006
  • In this paper, we first define one-dimensional component symbol error function (ODSEF) from the exact expression of the pairwise error probability of orthogonal space-time block codes (OSTBC). Using the ODSEF and the general bit error probability (BEP) expression for quadrature amplitude modulation (QAM) introduced by Cho and Yoon, the exact closed form expressions for the BEP of linear OSTBCs with QAM in slow-varying Rayleigh fading channel are derived.