• Title/Summary/Keyword: D-optimal design

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Combined Optimal Design of Robust Control System and Structure System for Truss Structure with Collocated Sensors and Actuators

  • Park, Jung-Hyen
    • International Journal of Precision Engineering and Manufacturing
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    • v.3 no.2
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    • pp.15-21
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    • 2002
  • A control-structure combined optimal design problem is discussed taking a 3-D truss structure as a design object. We use descriptor forms for a controlled object and a generalized plant because the structural parameters appear naturally in these farms. We consider not only minimum weight design problem for structure system, but also suppression problem of the effect of disturbances for control system as the purpose of the design. A numerical example shows the validity of combined optimal design of structure and control systems. We also consider the validity of sensor-actuator collocation for control system design in this paper.

Performance of a Bayesian Design Compared to Some Optimal Designs for Linear Calibration (선형 캘리브레이션에서 베이지안 실험계획과 기존의 최적실험계획과의 효과비교)

  • 김성철
    • The Korean Journal of Applied Statistics
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    • v.10 no.1
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    • pp.69-84
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    • 1997
  • We consider a linear calibration problem, $y_i = $$\alpha + \beta (x_i - x_0) + \epsilon_i$, $i=1, 2, {\cdot}{\cdot},n$ $y_f = \alpha + \beta (x_f - x_0) + \epsilon, $ where we observe $(x_i, y_i)$'s for the controlled calibration experiments and later we make inference about $x_f$ from a new observation $y_f$. The objective of the calibration design problem is to find the optimal design $x = (x_i, \cdots, x_n$ that gives the best estimates for $x_f$. We compare Kim(1989)'s Bayesian design which minimizes the expected value of the posterior variance of $x_f$ and some optimal designs from literature. Kim suggested the Bayesian optimal design based on the analysis of the characteristics of the expected loss function and numerical must be equal to the prior mean and that the sum of squares be as large as possible. The designs to be compared are (1) Buonaccorsi(1986)'s AV optimal design that minimizes the average asymptotic variance of the classical estimators, (2) D-optimal and A-optimal design for the linear regression model that optimize some functions of $M(x) = \sum x_i x_i'$, and (3) Hunter & Lamboy (1981)'s reference design from their paper. In order to compare the designs which are optimal in some sense, we consider two criteria. First, we compare them by the expected posterior variance criterion and secondly, we perform the Monte Carlo simulation to obtain the HPD intervals and compare the lengths of them. If the prior mean of $x_f$ is at the center of the finite design interval, then the Bayesian, AV optimal, D-optimal and A-optimal designs are indentical and they are equally weighted end-point design. However if the prior mean is not at the center, then they are not expected to be identical.In this case, we demonstrate that the almost Bayesian-optimal design was slightly better than the approximate AV optimal design. We also investigate the effects of the prior variance of the parameters and solution for the case when the number of experiments is odd.

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Design of 1-D and 2-D Linear-phased Half-band Filters (1차원 및 2차원 선형 반대역 필터의 설계에 관한 연구)

  • 김대영;이병기
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.31B no.5
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    • pp.42-49
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    • 1994
  • In this paper we consider efficient 1-D and 2-D linear-phased half-band filter designs. We first introduce a new derivation of the existing Vaidynathan-Nguyen 's half-band filter design method, which verifies that the design provides optimal half-band filters. We then propose an approximately-linear-phased IIR half-band filter design method, which is based on the all-pass equalizer design with the linear phase -$\omega$/2. Finally, we propose an efficient method to design optimal 2-D half-band filters, for which we utilize a 2-D all pass prototype filter of half the order of the desired 2-D half-band filters.

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Optimal Design of the 4-cylinder Engine Rubber Mounts with Elastic Vibrations of Vehicle Body (차체의 탄성진동을 고려한 4기통 엔진 고무마운트의 최적설계)

  • 박철희;오진우
    • Transactions of the Korean Society of Automotive Engineers
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    • v.6 no.1
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    • pp.163-181
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    • 1998
  • In this study, the objective is determine the optimal design variable of engine mount system using the rubber mount of bush-type which is usually utilized in passive control to minimize vibrations of vehicle body or transmission from engine into body. The engine model adopted in this study is 4-cylinder, 4-stroke gasoline engine support- ed by 4-points. The system is modelled in 10 d.o.f.-rigid body motion of the engine & transmission in 6 d.o.f., elastic motion of vehicle body in 4 d.o.f.(1st torsional, 1st vertical and 1st & 2nd lateral bending vibration mode). To consider the elastic motion of vehicle body, find the eigenvalues and mode shapes of vehicle body by nodal testing and then determine the modal masses and stiffnesses of the body. The design variables of the engine mount system are locations, stiffness and damping coefficients of the rubber mounts(28 design variables). In case of considering the torque-roll axis for the engine, the design variables of the mount system are reduced to 22 design variables. The objective functions in optimal design process are considered by three cases, that is, 1) transmitted forces through engine mounts, 2) acceleration components of generalized coordinates for the vibration of vehicle body, 3) acceleration of specified location(where gear box) of body. three case are analyzed and compared with each other.

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Textile Structural Design with Fabric Flexibility using SLS 3D Printing Technology (SLS 3D 프린팅 기술을 적용한 직물 유연성이 발현된 직물구조적인 설계디자인)

  • Song, HaYoung
    • Journal of Fashion Business
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    • v.24 no.3
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    • pp.85-100
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    • 2020
  • Recently, 3D printing technology, which is suitable for small-volume production of many varieties, has become considered a key manufacturing technology in the 4th industrial revolution. However, the nature of 3D printing technology means it is not yet able to be applied to traditional textiles due to Fabric Flexibility. The aim of this study is to investigate Textile Structural Design by finding the optimal yarn thickness for Selective Laser Sintering (SLS) 3D printed structures on geogrid dobby woven fabric that gives the optimal flexibility and tensile strength in the final product. The test results for tensile load strength of the 3D printed test samples, using 1.0mm, 0.8mm, 0.6mm and 0.4mm yarn thicknesses, showed that all were found to be above 250N, this higher than the tensile strength of 180N that is recommended for textile products. Based on these results, the four dobby structural patterns with 3D printing produced had four yarn thicknesses: 1.0mm, 0.8mm, 0.6mm, and 0.4mm. The thinner the yarn, the more flexible the fabric; as such the optimal conditions to produce SLS-based 3D printed textiles with suitable strength and flexibility used a thickness of yarn in the range of 0.4mm to 0.6mm.

Approximate Multi-Objective Optimization of A Wall-mounted Monitor Bracket Arm Considering Strength Design Conditions (강도조건을 고려한 벽걸이 모니터 브라켓 암의 다중목적 근사최적설계)

  • Doh, Jaehyeok;Lee, Jongsoo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.39 no.5
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    • pp.535-541
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    • 2015
  • In this study, an approximate multi-objective optimization of a wall-mounted monitor bracket arm was performed. The rotation angle of the bracket arm was determined considering the inplane degree of freedom. We then formulated an optimization problem on maximum stress and deflection. Analyses of mean and design parameters were conducted for sensitivity regarding performance with orthogonal array and response surface method (RSM). RSM models of objective and constraint functions were generated using central composite (CCD) and D-optimal design. The accuracy of approximate models was evaluated through $R^2$ value. The obtained optimal solutions by non-dominant sorting genetic algorithm (NSGA-II) were validated through the finite element analysis and we compared the obtained optimal solution by CCD and D-optimal design.

Multi-Objective Optimal Design of a NEMA Design D Three-phase Induction Machine Utilizing Gaussian-MOPSO Algorithm

  • Zhang, Dianhai;Ren, Ziyan;Koh, Chang-Seop
    • Journal of Electrical Engineering and Technology
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    • v.9 no.1
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    • pp.184-189
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    • 2014
  • This paper presents a multi-objective optimization approach to design rotor slot geometry of three-phase squirrel cage induction machine to achieve NEMA design D torque-speed (T-S) characteristics with high efficiency. The multi-objective Particle Swarm Optimization (MOPSO) algorithm combined with the adaptive response surface method and Latin hypercube sampling strategy is applied to obtain the Pareto optimal designs. In order to demonstrate the validity of the suggested optimal algorithm, an application to rotor slot design of three-phase induction motor is presented.

Development and Application of Tunnel Design Automation Technology Using 3D Spatial Information : BIM-Based Design for Namhae Seomyeon - Yeosu Shindeok National Highway Construction (3D 공간정보를 활용한 터널 설계 자동화 기술 개발 및 적용 사례 : 남해 서면-여수 신덕 국도 건설공사 BIM기반 설계를 중심으로)

  • Eunji Jo;Woojin Kim;Kwangyeom Kim;Jaeho Jung;Sanghyuk Bang
    • Tunnel and Underground Space
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    • v.33 no.4
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    • pp.209-227
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    • 2023
  • The government continues to announce measures to revitalize smart construction technology based on BIM for productivity innovation in the construction industry. In the design phase, the goal is design automation and optimization by converging BIM Data and other advanced technologies. Accordingly, in the basic design of the Namhae Seomyeon-Yeosu Sindeok National Road Construction Project, a domestic undersea tunnel project, BIM-based design was carried out by developing tunnel design automation technology using 3D spatial information according to the tunnel design process. In order to derive the optimal alignment, more than 10,000 alignment cases were generated in 36hr using the generative design technique and a quantitative evaluation of the objective functions defined by the designer was performed. AI-based ground classification and 3D Geo Model were established to evaluate the economic feasibility and stability of the optimal alignment. AI-based ground classification has improved its precision by performing about 30 types of ground classification per borehole, and in the case of the 3D Geo Model, its utilization can be expected in that it can accumulate ground data added during construction. In the case of 3D blasting design, the optimal charge weight was derived in 5 minutes by reviewing all security objects on the project range on Dynamo, and the design result was visualized in 3D space for intuitive and convenient construction management so that it could be used directly during construction.

Approximate Multi-Objective Optimization of Gap Size of PWR Annular Nuclear Fuels (가압경수로용 환형 핵연료의 간극 크기 다중목적 근사최적설계)

  • Doh, Jaehyeok;Kwon, Young Doo;Lee, Jongsoo
    • Journal of the Korean Society for Precision Engineering
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    • v.32 no.9
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    • pp.815-824
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    • 2015
  • In this study, we conducted the approximate multi-objective optimization of gap sizes of pressurized-water reactor (PWR) annular fuels. To determine the contacting tendency of the inner-outer gaps between the annular fuel pellets and cladding, thermoelastic-plastic-creep (TEPC)analysis of PWR annular fuels was performed, using in-house FE code. For the efficient heat transfer at certain levels of stress, we investigated the tensile, compressive hoop stress and temperature, and optimized the gap sizes using the non-dominant sorting genetic algorithm (NSGA-II). For this, response surface models of objective and constraint functions were generated, using central composite (CCD) and D-optimal design. The accuracy of approximate models was evaluated through $R^2$ value. The obtained optimal solutions by NSGA-II were verified through the TEPC analysis, and we compared the obtained optimum solutions and generated errors from the CCD and D-optimal design. We observed that optimum solutions differ, according to design of experiments (DOE) method.

A Study on the Optimal Shape Design of 2-D Structures (2차원 구조물의 최적형상설계에 관한 연구)

  • 김홍건;양성모;노홍길;나석찬;유기현;조남익
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.12 no.2
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    • pp.9-16
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    • 2003
  • A strategy of the optimal shape design with FEA(Finite Element Analysis) for 2-D structure is proposed by comparing subproblem approximation method with first order approximation method. A cantilever beam with two different loading conditions, a concentrated load and an evenly distribute load, and truss structure with a concentrated loading condition are implemented to optimize the shape. It gives a good design strategy on the optimal truss structure as well as the optimal cantilever beam shape. It is found that the convergence is quickly finished with the iteration number below ten. Optimized shapes of cantilever beam and truss structure are shown with stress contour plot by the results of the subproblem approximation method and the first order approximation methd.