• Title/Summary/Keyword: 무한차원최적화

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Application of the Infinite Dimensional Optimization to Marine Propellers and Its Mathematical Uniqueness (무한차원최적화의 추진기에의 응용과 그의 수학적 유일성 고찰)

  • Jang, Taek-S.;Hong, Sa-Y.
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2002.05a
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    • pp.231-236
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    • 2002
  • By using the infinite dimensional optimization[Jang and Kinoshita(2000)]. which is based on the Hilbert space theory, optimal marine propellers are studied. The mathematical uniqueness for the optimized propeller is shown in this study. As a numerical example, the MAU type propeller is considered and used as the initial guess for the optimization method. The numerical results for an optimal marine propeller is illustrated for the pitch distribution.

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A Study on an Optimized Constant Pitch Propeller (일정피치 추진기의 최적화 연구에 관하여)

  • 장택수;홍사영
    • Journal of Ocean Engineering and Technology
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    • v.16 no.3
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    • pp.28-33
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    • 2002
  • Optimization of marine propellers of constant pitch is studied, with the help of the infinite dimensional optimization (Jang and Kinoshita, 2000a), which is based on the Hilbert space theory. As a numerical example, the MAU type propeller is considered and used as he initial guess for the optimization method. The numerical computations for an optimal marine propeller are performed for the constant pitch distribution. In addition, a new optimization is suggested with the constraint of constant pitch during optimization.

Time-domain Elastic Full-waveform Inversion Using One-dimensional Mesh Continuation Scheme (1차원 유한요소망 연속기법을 이용한 시간영역 탄성파의 역해석)

  • Kang, Jun Won
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.26 no.4
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    • pp.213-221
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    • 2013
  • This paper introduces a mesh continuation scheme for a one-dimensional inverse medium problem to reconstruct the spatial distribution of elastic wave velocities in heterogeneous semi-infinite solid domains. To formulate the inverse problem, perfectly-matched-layers(PMLs) are introduced as wave-absorbing boundaries that surround the finite computational domain truncated from the originally semi-infinite extent. To tackle the inverse problem in the PML-truncated domain, a partial-differential-equations(PDE)-constrained optimization approach is utilized, where a least-squares misfit between calculated and measured surface responses is minimized under the constraint of PML-endowed wave equations. The optimization problem iteratively solves for the unknown wave velocities with their updates calculated by Fletcher-Reeves conjugate gradient algorithms. The optimization is performed using a mesh continuation scheme through which the wave velocity profile is reconstructed in successively denser mesh conditions. Numerical results showed the robust performance of the mesh continuation scheme in reconstructing target wave velocity profile in a layered heterogeneous solid domain.

Performance Evaluation of a Time-domain Gauss-Newton Full-waveform Inversion Method (시간영역 Gauss-Newton 전체파형 역해석 기법의 성능평가)

  • Kang, Jun Won;Pakravan, Alireza
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.26 no.4
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    • pp.223-231
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    • 2013
  • This paper presents a time-domain Gauss-Newton full-waveform inversion method for the material profile reconstruction in heterogeneous semi-infinite solid media. To implement the inverse problem in a finite computational domain, perfectly-matchedlayers( PMLs) are introduced as wave-absorbing boundaries within which the domain's wave velocity profile is to be reconstructed. The inverse problem is formulated in a partial-differential-equations(PDE)-constrained optimization framework, where a least-squares misfit between measured and calculated surface responses is minimized under the constraint of PML-endowed wave equations. A Gauss-Newton-Krylov optimization algorithm is utilized to iteratively update the unknown wave velocity profile with the aid of a specialized regularization scheme. Through a series of one-dimensional examples, the solution of the Gauss-Newton inversion was close enough to the target profile, and showed superior convergence behavior with reduced wall-clock time of implementation compared to a conventional inversion using Fletcher-Reeves optimization algorithm.

A Study on Improving the Capacity of Absorbing Boundary Using Dashpot (점성감쇠기를 이용하는 흡수경계의 성능 향상에 관한 연구)

  • Kim, Hee-Seok;Lee, Jong-Seh
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.5
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    • pp.629-640
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    • 2007
  • In this paper an analytical study is carried out to improve the capacity of absorbing boundary using dashpot, one of the most widely used absorbing boundaries in FEM. Using 2-D harmonic plane wave equation, absorbing boundary condition is modified to maximize its capacity according to the incident angle. Validity of the absorbing boundary conditions which is modified is investigated by adopting the solution of Miller and Pursey. The Miller and Pursey's problem is then numerically simulated using the finite element method. The absorption ratios are calculated by comparing the displacements at the absorbing boundary to those at the free field without the absorbing boundary. The numerical study is carried out through comparison of displacement at the interior region and the boundary of the numerical model.

Reverse Design of F-Theta Lens for Compact Laser Scanner (소형 2차원 레이저 스캐너용 F-theta 렌즈 역설계)

  • Choi, Hae Woon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.41 no.3
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    • pp.213-218
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    • 2017
  • In this study, a reverse design of the F-theta lens was proposed for a 2D scanner in remote welding applications. The curvature and distance of the lens were set as variables, and the focal length of the lens was set as the marginal ray height. The ZEMAX commercial software was used to perform a simulation with unlimited iterations for the optimization process. The target value was optimized using the internal Merit function with the weight factors of focal length and spot diameter. The number of lenses was four, and the focal length obtained from the results was 135mm that is slightly less than that of the commercial lens, which is set with a focal length of 185 mm. The calculated spot diameters are $1.3{\mu}m$, $6.2{\mu}m$, and $16.1{\mu}m$ for $0^{\circ}$, $12.5^{\circ}$ and $23^{\circ}$ of incident laser beam, respectively. It is expected that an optimized lens design is possible by performing the reverse design of a lens by the ray tracing method.

서초프로젝트A 오피스텔 현장의 SHOP DWG

  • Kim, Hyeon-Ung
    • 월간 기계설비
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    • no.11 s.184
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    • pp.57-71
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    • 2005
  • SHOP DWG의 현주소 어디까지 왔는가? 설계에서 제조에 이르는 전 과정을 컴퓨터로 제어하고 관리하는 기술. 캐드(CAD)와 캠(CAM)은 각각 computer-aided design,computer-aided manufacturing의 약칭으로 컴퓨터보조설계와 컴퓨터보조생산을 뜻한다. CAD는 설계도면을 한 장씩 수작업으로 제도하지 않고 설계 데이터베이스의 정보를 CRT(cathode ray tube)에서 화상을 보고 합성하면서 설계하므로 작업을 최적화 할 수 있다. CAD로 설계된 설계도의 내용은 CAM을 통해 NC(수치제어)공작기계에 정확한 작업동작을 지시하게 되며, 작업관리∙가공∙조립∙검사 등의 제조과정을 컴퓨터로 관리하여 작업속도와 제품의 정밀성을 높이게 된다. 최근에는 건축현장의 2D system이 보편화되어 있지만 건축현장의 핵심이라고 할 수 있는 기계설비의 기계실, 또는 조립화 공법 등에는 3차원 CAD∙CAM시스템이 개발되어 입체형상을 화면에 3차원으로 재현할 수 있고, 대상물의 표면적∙부피∙무게∙강도 등의 물리적 성질도 자동 계산하여 최적상태에서 현장의 시공에 적용할 수 있게 되었다. 1960년대 초 미국에서 자동차 모델∙엔진, 항공기 부품 등 의 설계에 수작업의 한계를 느껴 개발되었으며, 한국에서는 70년대 중반에 도입되어 운용되고 있다. 이에 따라 프로그램 회사들은 다양한 방법 등을 SHOP DWG에 적용하여 판매경쟁이 치열하다. (주)우진아이엔에스는 급속한 산업경제의 변화와 무한경쟁시대에 보다 나은 기술개발 투자에도 노력을 기울여, 2000년 11월 용인공장, 생산라인을 천안으로 이전, 확장 하여 배관 및 닥트의 CAD-CAM SYSTEM, P.F.P공법, 기계실3D, 블럭화배관, 닥트자동화 시스템, 설계, 용접공정을 공장화시켰으며, 신 개발품인 S.C.D(SEMI-CON DUCT)를 신설하여 모든 건축물에 맞는 필수적인 제품을 생산함으로써 선택의 폭을 넓히고, 현장 시공능력 효율을 높이고 있다. 이번 호에서는 (주)우진아이엔에스가 95년 설계팀을 발족하여 제로시스템의 3D공법을 공장 및 현장의 SHOP DWG에 적용해왔고 최근에는“서초 프로젝트A”현장에 SHOP DWG의 최대 결집체인 3D활용의 조립화 공법을 적용하여 초고층 오피스텔현장을 시공한 사례를 게재한다. 우진아이엔에스는 30여년의 기술 축척을 바탕으로 최고의 기술력과 풍부한 경험을 통해 아셈무역센타, 타워팰리스1차, 3차 및 목동트라팰리스, 분당트리폴리스, 수원삼성전자 R4, 등 국내굴지의 초고층빌딩 시공을 근거로 초고층의 기본설계를 이해하고 SHOP DWG을 통해서 기계설비공사의 향후 나아갈 지표를 제시하고 있다.

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Image-based Modeling by Minimizing Projection Error of Primitive Edges (정형체의 투사 선분의 오차 최소화에 의한 영상기반 모델링)

  • Park Jong-Seung
    • The KIPS Transactions:PartB
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    • v.12B no.5 s.101
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    • pp.567-576
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    • 2005
  • This paper proposes an image-based modeling method which recovers 3D models using projected line segments in multiple images. Using the method, a user obtains accurate 3D model data via several steps of simple manual works. The embedded nonlinear minimization technique in the model parameter estimation stage is based on the distances between the user provided image line segments and the projected line segments of primitives. We define an error using a finite line segment and thus increase accuracy in the model parameter estimation. The error is defined as the sum of differences between the observed image line segments provided by the user and the predicted image line segments which are computed using the current model parameters and camera parameters. The method is robust in a sense that it recovers 3D structures even from partially occluded objects and it does not be seriously affected by small measurement errors in the reconstruction process. This paper also describesexperimental results from real images and difficulties and tricks that are found while implementing the image-based modeler.

Isogeometric Optimal Design of Kelvin Lattice Structures for Extremal Band Gaps (극대화된 밴드갭을 갖는 켈빈 격자 구조의 아이소-지오메트릭 최적 설계)

  • Choi, Myung-Jin;Oh, Myung-Hoon;Cho, Seonho;Koo, Bonyong
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.32 no.4
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    • pp.241-247
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    • 2019
  • A band gap refers to a certain frequency range where the propagation of mechanical waves is prohibited. This work focuses on engineering three-dimensional Kelvin lattices having external band gaps at low audible frequency ranges using a gradient-based design optimization method. Elastic wave propagation in an infinite periodic lattice is investigated by employing the Bloch theorem. We model the ligaments using a shear-deformable beam model obtained by consistent linearization in a geometrically exact beam theory. For a given lattice topology, we enlarge band gap sizes by controlling the configuration of the beam neutral axis and cross-section thickness that are smoothly parameterized by B-spline basis functions within the isogeometric analysis framework.

Planning of Optimal Work Path for Minimizing Exposure Dose During Radiation Work in Radwaste Storage (방사성 폐기물 저장시설에서의 방사선 작업 중 피폭선량 최소화를 위한 최적 작업경로 계획)

  • Park, Won-Man;Kim, Kyung-Soo;Whang, Joo-Ho
    • Journal of Radiation Protection and Research
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    • v.30 no.1
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    • pp.17-25
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    • 2005
  • Since the safety of nuclear power plant has been becoming a big social issue the exposure dose of radiation for workers has been one of the important factors concerning the safety problem. The existing calculation methods of radiation dose used in the planning of radiation work assume that dose rate does not depend on the location within a work space thus the variation of exposure dose by different work path is not considered. In this study, a modified numerical method was presented to estimate the exposure dose during radiation work in radwaste storage considering the effects of the distance between a worker and sources. And a new numerical algorithm was suggested to search the optimal work path minimizing the exposure dose in pre-defined work space with given radiation sources. Finally, a virtual work simulation program was developed to visualize the exposure dose of radiation doting radiation works in radwaste storage and provide the capability of simulation for work planning. As a numerical example, a test radiation work was simulated under given space and two radiation sources, and the suggested optimal work path was compared with three predefined work paths. The optimal work path obtained in the study could reduce the exposure dose for the given test work. Based on the results, tile developed numerical method and simulation program could be useful tools in the planning of radiation work.