• Title/Summary/Keyword: orthogonal design

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Noise Reduction of Muffler by Optimal Design

  • Oh, Jae-Eung;Cha, Kyung-Joon
    • Journal of Mechanical Science and Technology
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    • v.14 no.9
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    • pp.947-955
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    • 2000
  • This paper proposes an optimal design scheme to improve the muffler's capacity of noise reduction of the exhaust system by combining the Taguchi method and a fractional factorial design. As a measuring tool for the performance of a muffler, the performance prediction software which is developed by Oh, Lee and Lee (1996) is used. In the first stage of a design, the length and radius of each component of the current muffler system are selected as control factors. Then, the $L_{18}$ table of orthogonal arrays is adopted to extract the effective main factors. In the second stage, the fractional factorial design is adopted to take interactions into consideration, which the $L_{18}$ table of orthogonal arrays can not consider. For an optimal design, the $L_{27}$ table of orthogonal arrays with main and interaction effects is proposed and the noise factors such as temperature, background noise and humidity are analyzed for more efficient design simultaneously.

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Optimal Design of Air Compressor-Driving Quadratic Linear Actuator in Fuel Cell BOP System Using Orthogonal Arrays Matrix

  • Kim, Jae-Hee;Kim, Jin-Ho;Jang, Chang-Hwan
    • Journal of Magnetics
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    • v.16 no.2
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    • pp.120-124
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    • 2011
  • The design of an air compressor-driving quadratic linear actuator in a fuel cell BOP system is studied using orthogonal techniques. The approach utilizes an orthogonal array for design of 'experiments', i.e. the scheme for numerical simulations using a finite element method. Eco-friendly energy is increasingly important due to the depletion of fossil fuels and environmental pollution. Among the new energy sources, fuel cell is spotlighted as renewable energy because it produces few dusts. The air compressor performance is directly related to the efficiency of the fuel cell BOP system has high power consumption. In this paper, an optimized technique using an orthogonal matrix is applied to the design problem to improve the performance of quadratic linear actuator.

An Efficient Computing Method of the Orthogonal Projection Matrix for the Balanced Factorial Design

  • Kim, Byung-Chun;Park, Jong-Tae
    • Journal of the Korean Statistical Society
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    • v.22 no.2
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    • pp.249-258
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    • 1993
  • It is well known that design matrix X for any factorial design can be represented by a product $X = TX_o$ where T is replication matrix and $X_o$ is the corresponding balanced design matrix. Since $X_o$ consists of regular arrangement of 0's and 1's, we can easily find the spectral decomposition of $X_o',X_o$. Also using this we propose an efficient algorithm for computing the orthogonal projection matrix for a balanced factorial design.

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Construction of Insulator and Isolator Database by Using Response Surface Model based on Taguchi's Orthogonal Array (다구찌 직교배열의 반응표면모델에 의한 흡차음재 소재 DB 구축)

  • Lee, Kwang-Ki;Kim, Byung-Hoon;Jun, In-Ki;Kang, Kyung-Soon;Kim, Ok-Bin
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.619-624
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    • 2000
  • Design of experiments based on Taguchi's orthogonal array is utilized for exploring the design space and for building response surface models of insulator and isolator database in order to facilitate the effective solution of multi-objective optimization commonly occurred in NVH problems. Response surface models, called engineering database of design space, provide an efficient means to rapidly model the trade-off among many conflicting NVH goals in automotive. In the design of insulator and isolator in automotive interior part, it is important not only to construct effective matrices of NVH but also to build up engineering database of current products. The experimental design especially based on orthogonal array and the nonlinear optimization algorithms are successfully used together to obtain the optimal design of insulator and isolator. The $2^{nd}$ order response surface models of absorption coefficient and insertion loss are constructed by using modified Taguchi's $L_{12}2^13^7$ orthogonal array and successfully used in optimal design of insulator and isolator.

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Shape Optimization Design of the Knuckle using the Orthogonal Array and the Finite Element Analysis (직교배열표와 유한요소해석을 이용한 너클의 형상최적설계)

  • 박영철;이권희;이동화;이강영
    • Transactions of the Korean Society of Automotive Engineers
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    • v.11 no.3
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    • pp.138-144
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    • 2003
  • Recently, the weight reduction of vehicle influences its environment problems and performances. It is a trend that a lot of parts have been currently changed to an aluminum alloy from steel materials. In this study, the shape optimization using an orthogonal array is performed to determine the design of the knuckle which is a part of suspension system. With the material of the weight reduction was achieved by satisfying the constraints of a strength requirement. The orthogonal array of $L_{18}$ is introduced to find the optimum design variables that considers the shape of the knuckle. The characteristic function composed of the objective and the construct is defined to the feasibility. Comparing to the weight of the initial design with steel materials that of optimum design with aluminum alloy material is reduced by 60%.

An Unifying Design Algorithm for Efficient Digital Implementation of Continuous PID Controller using General Discrete Orthogonal Functions (연속 PID 제어기의 효율적 디지털 구현을 위한 일반적인 이산직교함수들을 이용한 통합 설계 알고리즘의 제안)

  • Kim, Yoon-Sang;Oh, Hyun-Cheol;Ahn, Doo-Soo
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.3
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    • pp.263-269
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    • 1999
  • In this paper, an unifying design algorithm is presented for efficient digital implementation of continuous PID controller using general discrete orthogonal functions. The proposed algorithm is an algebraic method to determine controller parameters, which can unify controller design procedures divided into three ways. A set of linear equations for the controller design are derived from simple algebraic transformation based on general discrete orthogonal functions. By solving these equations, all of the controller parameters can be determined directly and simultaneously, which thus makes the design procedure systematic and straightforward. It does not involve any trial and error procedure, hence the difficulty of conventional approach can be avoided. The simulation results and discussions are given to demonstrate the efficiency of the proposed method.

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Design of Structure Using Orthogonal Array Considering Interactions in Discrete Design Spaces (직교배열표를 이용한 불연속 공간에서의 교호작용을 고려한 구조물 설계)

  • Hwang, Gwang-Hyeon;Gwon, U-Seong;Lee, Gwon-Hui;Park, Gyeong-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.12
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    • pp.2952-2962
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    • 2000
  • The design of experiment(DOE) is getting more attention in the engineering community since it is easy to understand and apply. Recently, engineering designers are adopting DOE with orthogonal arrays when they want to design products in a discrete design space. In this research, a design flow with orthogonal arrays is defined for structural design according to the general DOE. The design problem is defined as a general structural optimization problem. Sensitivity information is evaluated by the analysis of variance(ANOVA), and an optimum design is determined from analysis of means(ANOM). Interactions between design variables are investigated to achieve additivity which should be valid in DOE. When strong interactions exit, a method is proposed. Some methods to consider the problem are suggested.

Comparison of Algebraic design methodologies for Unknown Inputs Observer via Orthogonal Functions (대수적 미지입력관측기 설계를 위한 직교함수의 응용)

  • Ahn, P.;Lee, S.J.;Kim, H.W.
    • Proceedings of the KIEE Conference
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    • 2005.07d
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    • pp.2543-2545
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    • 2005
  • It is well known that the orthogonal function is a very useful to estimate an unknown inputs in the linear dynamic systems for its recursive algebraic algorithm. At this aspects, derivative operation(matrix) of orthogonal functions(walsh, block pulse and haar) are introduced and shown how it can useful to design an UIO(unknown inputs observer) design.

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A Fiber Spool's Vibration Sensitivity Optimization Based on Orthogonal Experimental Design

  • Jing Gao;Linbo Zhang;Dongdong Jiao;Guanjun Xu;Xue Deng;Qi Zang;Honglei Yang;Ruifang Dong;Tao Liu;Shougang Zhang
    • Current Optics and Photonics
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    • v.8 no.1
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    • pp.45-55
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    • 2024
  • A fiber spool with ultra-low vibration sensitivity has been demonstrated for the ultra-narrow-linewidth fiber-stabilized laser by the multi-object orthogonal experimental design method, which can achieve the optimization object and analysis of influence levels without extensive computation. According to a test of 4 levels and 4 factors, an L16 (44) orthogonal table is established to design orthogonal experiments. The vibration sensitivities along the axial and radial directions and the normalized sums of the vibration sensitivities are determined as single objects and comprehensive objects, respectively. We adopt the range analysis of object values to obtain the influence levels of the four design parameters on the single objects and the comprehensive object. The optimal parameter combinations are determined by both methods of comprehensive balance and evaluation. Based on the corresponding fractional frequency stability of ultra-narrow-linewidth fiber-stabilized lasers, we obtain the final optimal parameter combination A3B1C2D1, which can achieve the fiber spool with vibration sensitivities of 10-12/g magnitude. This work is the first time to use an orthogonal experimental design method to optimize the vibration sensitivities of fiber spools, providing an approach to design the fiber spool with ultra-low vibration sensitivity.