• Title/Summary/Keyword: Geometric Optimization

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Finding the Maximally Inscribed Rectangle in a Robots Workspace

  • Park, Frank-Chongwoo;Jonghyun Baek;Inrascu, Cornel-Constantin
    • Journal of Mechanical Science and Technology
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    • v.15 no.8
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    • pp.1119-1131
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    • 2001
  • In this paper we formulate an optimization based approach to determining the maximally inscribed rectangle in a robots workspace. The size and location of the maximally inscribed rectangle is an effective index for evaluating the size and quality of a robots workspace. Such information is useful for, e. g., optimal worktable placement, and the placement of cooperating robots. For general robot workspaces we show how the problem can be formulated as a constrained nonlinear optimization problem possessing a special structure, to which standard numerical algorithms can be applied. Key to the rapid convergence of these algorithms is the choice of a starting point; in this paper we develop an efficient computational geometric algorithm for rapidly obtaining an approximate solution suitable as an initial starting point. We also develop an improved version of the algorithm of Haug et al. for calculating a robots workspace boundary.

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Determination of Optimal Build Orientation Based on Satisfactory Degree Theory for RPT

  • Zhao, Jibin;Liu, Weijun;Wu, Jianhuang
    • International Journal of CAD/CAM
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    • v.6 no.1
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    • pp.51-58
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    • 2006
  • In rapid prototyping, the optimal part orientation during fabrication is critical as it can improve part accuracy, minimize the requirement for supports and reduce the production time. Through investigating the geometric issues of STL model and process planning of RPM, This paper establishes optimizing model based on the considerations of staircase effect, support area and production time. The general satisfactory degree function is constructed employing the multi-objective optimization theory based on the general satisfactory degree principle. The best part-building orientation is obtained by solving the function employing generic algorithm. Experiment shows that the methods can effective resolve the part-building orientation in RP.

The Multi-objective Optimization of Switched Reluctance Motor (스위치드 릴럭턴스 전동기의 다중목적함수의 최적화 방법 연구)

  • Choi, Jae-Hak;Shin, Hyun-Hun;Lim, Jin-Jae;Lee, Ju;Lee, Jung-Ho;Baek, Soo-Hyun
    • Proceedings of the KIEE Conference
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    • 2002.11d
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    • pp.118-120
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    • 2002
  • In this paper, a multi-object optimization based on a progressive quadratic response surface method (PQRSM) and a time stepping finite element method (FEM) is proposed. The new PQRSM and FEM are able to decide optimal geometric and electric variables of the switched reluctance motor (SRM) with two objective functions: torque ripple minimization and average torque maximization. The result of the optimum design for SRM show an improved performance of motor and a relationship between torque ripple and average torque.

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Design Optimization of Centrifugal Pump Impellers in a Fixed Meridional Geometry using DOE

  • Kim, Sung;Choi, Young-Seok;Lee, Kyoung-Yong;Yoon, Joon-Yong
    • International Journal of Fluid Machinery and Systems
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    • v.2 no.2
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    • pp.172-178
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    • 2009
  • This paper reports on an investigation (using RSM with commercial CFD software) of the performance characteristics of the impeller in a centrifugal pump. Geometric parameters of vane plane development were defined with the meridional shape and frontal view of the impeller. The parameters are focused on the blade-angle distributions through the impeller in a fixed meridional geometry. For screening, a $2^k$ factorial design has been used to identify the important design parameters. The objective functions are defined as the total head rise and the total efficiency at the design flow-rate. From the $2^k$ factorial design results, it is found that the incidence angles and the exit blade angle are the most important parameters influencing the performance of the pump.

Design of a Micro-Channel Heat Exchanger for Heat Pump Using Approximate Optimization Method (근사최적화 기법을 이용한 히트펌프용 마이크로 채널 응축기 설계)

  • Seo, Seok-Won;Ye, Huee-Youl;Lee, Kwan-Soo
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.24 no.3
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    • pp.256-264
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    • 2012
  • A general procedure for the optimal design of a micro-channel heat exchanger for heat pump systems is presented. For this design, a performance analysis program that can reflect the various geometric variables of the micro-channel heat exchanger was developed. The deviation between simulated and experiment results of previous research was within 4% for the heat transfer rate. To prove the feasibility of the optimal design process, the performance of the reference heat exchanger was compared to that of the optimized heat exchanger. The $JF_{air}$ and PECv of the optimized heat exchanger were enhanced by 14% and 26%, respectively.

Applicability of Optimum Algorithm for Automated Design of Electric Railway Pole Foundation (전철주기초 설계 자동화를 위한 최적화 알고리즘의 적용성 검토)

  • Lee, Gi-Yeol;Park, Yong-Dae;Chung, Won-Yong;Song, Kyu-Seok;Lim, Sun-Taek;Kim, Jong-Nam;Lee, Su-Hyung
    • Proceedings of the KSR Conference
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    • 2009.05a
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    • pp.1047-1053
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    • 2009
  • This paper examined an applicability of optimum algorithm to develope an electric railway pole foundation automated design system. Based on the optimization theory that considered subgrade and bearing capacity characteristics, decided an optimum section of electric railway pole foundation. In this research, Optimum algorithm used the feasible direction method in structural analysis and design efficiently. Design variables are considered geometric properties and anchor bolt area of the electric railway pole foundation as optimum construction cost. Constraints are considered settlement., overturning and activity of foundation. And, also composed flexural and shearing strength. According to optimum analysis result., optimization theory is available more economical design comparing with railway pole foundation that is constructed by current standard drawing, and applicability verified in automated design system development.

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An Effective Mesh Smoothing Technique for the Mesh Constructed by the Mesh Compression Technique (격자압축법을 이용하여 구성된 격자의 효과적인 격자유연화 방법)

  • 홍진태;이석렬;양동열
    • Transactions of Materials Processing
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    • v.12 no.4
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    • pp.340-347
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    • 2003
  • In the rigid-plastic finite element simulation of hot forging processes using hexahedral mesh, remeshing of a flash is important for design and control of the process to obtain desirable defect-free products. The mesh compression method is a remeshing technique which enables the construction of an effective hexahedral mesh in the flash. However, because the mesh is distorted during the compression procedure of the mesh compression method, when it is used in resuming the analysis, it causes discretization error and decreases the conversance rate. Therefore, mesh smoothing is necessary to improve the mesh quality. In this study, several geometric mesh smoothing techniques and optimization techniques are introduced and modified to improve mesh quality. Then, the most adaptive technique is recommended for the mesh compression method.

Preliminary Hull Form Generation by Form Parameter Method using GA (GA를 이용한 Form parameter 방법에 의한 초기선형 생성)

  • Kim, Su-Young;Shin, Sung-Chul;Shin, KYoung-Yup
    • Journal of the Korean Institute of Intelligent Systems
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    • v.12 no.1
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    • pp.44-51
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    • 2002
  • In order to generate hull form, fairness criteria applies to object function, B-spline curve vertices are considered as design variables, optimization is proceeded with satisfying geometric constraint conditions. GA(Genetic Algorithm) and optimality criteria apply to optimization process in this study.

3-DOF Parallel Micromanipulator : Design Consideration (3차원 평형 마이크로조정장치 : 설계 고려사항)

  • Lee, Jeong-Ick;Lee, Dong-Chan;Han, Chang-Soo
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.17 no.2
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    • pp.13-22
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    • 2008
  • For the accuracy correction of the micro-positioning industrial robot, micro-manipulator has been devised. The compliant mechanisms using piezoelectric actuators is necessary geometrically and structurally to be developed by the optimization approaches. The overall geometric advantage as the mechanical efficiencies of the mechanism are considered as objective functions, which respectively art the ratio of output displacement to input force, and their constraints are the vertical notion of supporting leg and the structural strength of manipulation. In optimizing the compliant mechanical amplifier, the sequential linear programming and an optimality criteria method are used for the geometrical dimensions of compliant bridges and flexure hinges. This paper presents the integrated design process which not only can maximize the mechanism feasibilities but also can ensure the positioning accuracy and sufficient workspace. Experiment and simulation are presented for validating the design process through the comparisons of the kinematical and structural performances.

Damage detection in laminated beams by anti-optimization (반 최적화기법에 의한 적층복합보의 손상추적)

  • 이재홍
    • Computational Structural Engineering
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    • v.9 no.2
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    • pp.173-182
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    • 1996
  • The present study proposes a detection technique for delaminations in a laminated compoiste structure. the proposed technique optimizes the spatial distribution of harmonic excitation so as to magnify the difference in response between the delaminated and intact structures. The technique is evaluated by numerical simulation of two-layered aluminum beams. Effects of measurement and geometric noises are included in the analysis. A finite element model for a delaminated beam, based on the layer-wise laminated plate theory in conjunction with a step function to simulate ddelaminations, is used.

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