• 제목/요약/키워드: curved domain

검색결과 45건 처리시간 0.037초

CURVED DOMAIN APPROXIMATION IN DIRICHLET'S PROBLEM

  • Lee, Mi-Young;Choo, Sang-Mok;Chung, Sang-Kwon
    • 대한수학회지
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    • 제40권6호
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    • pp.1075-1083
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    • 2003
  • The purpose of this paper is to investigate the piecewise wise polynomial approximation for the curved boundary. We analyze the error of an approximated solution due to this approximation and then compare the approximation errors for the cases of polygonal and piecewise polynomial approximations for the curved boundary. Based on the results of analysis, p-version numerical methods for solving Dirichlet's problems are applied to any smooth curved domain.

Fatigue life prediction of horizontally curved thin walled box girder steel bridges

  • Nallasivam, K.;Talukdar, Sudip;Dutta, Anjan
    • Structural Engineering and Mechanics
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    • 제28권4호
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    • pp.387-410
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    • 2008
  • The fatigue damage accumulation rates of horizontally curved thin walled box-girder bridge have been estimated from vehicle-induced dynamic stress history using rain flow cycle counting method in the time domain approach. The curved box-girder bridge has been numerically modeled using computationally efficient thin walled box-beam finite elements, which take into account the important structural actions like torsional warping, distortion and distortional warping in addition to the conventional displacement and rotational degrees of freedom. Vehicle model includes heave-pitch-roll degrees of freedom with longitudinal and transverse input to the wheels. The bridge deck unevenness, which is taken as inputs to the vehicle wheels, has been assumed to be a realization of homogeneous random process specified by a power spectral density (PSD) function. The linear damage accumulation theory has been applied to calculate fatigue life. The fatigue life estimated by cycle counting method in time domain has been compared with those found by estimating the PSD of response in frequency domain. The frequency domain method uses an analytical expression involving spectral moment characteristics of stress process. The effects of some of the important parameters on fatigue life of the curved box bridge have been studied.

시간 영역 상관관계 기법을 통한 곡선운동을 하는 차량용 전방 관측 역산란 합성 영상 형성 (Forward-Looking Synthetic Inverse Scattering Image Formation for a Vehicle with Curved Motion Based on Time Domain Correlation)

  • 이혁중;전주환;황성현;유성진;변우진
    • 한국전자파학회논문지
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    • 제30권1호
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    • pp.60-69
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    • 2019
  • 본 논문에서는 전방 관측 특히, 곡선운동을 하는 차량용 전방 관측 역산란 합성 영상 형성에 대해 다룬다. 영상 형성을 위해 시간 영역 상관관계(time domain correlation: TDC) 기법이 사용되었으며, 차량의 전방 지면의 2D 영상을 얻는다. TDC는 공간변화 시스템에 대한 정합 필터링을 구현한 기법이므로 가우시안 잡음에 강건하다. 또한, 직선운동을 할 때의 영상과 곡선운동을 할 때의 영상에 대한 비교, 분석을 통해 곡선운동을 했을 때 영상의 엔트로피가 증가하는 대신 영상의 분해능이 향상되었음을 보인다.

Time-domain coupled analysis of curved floating bridge under wind and wave excitations

  • Jin, Chungkuk;Kim, MooHyun;Chung, Woo Chul;Kwon, Do-Soo
    • Ocean Systems Engineering
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    • 제10권4호
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    • pp.399-414
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    • 2020
  • A floating bridge is an innovative solution for deep-water and long-distance crossing. This paper presents a curved floating bridge's dynamic behaviors under the wind, wave, and current loads. Since the present curved bridge need not have mooring lines, its deep-water application can be more straightforward than conventional straight floating bridges with mooring lines. We solve the coupled interaction among the bridge girders, pontoons, and columns in the time-domain and to consider various load combinations to evaluate each force's contribution to overall dynamic responses. Discrete pontoons are uniformly spaced, and the pontoon's hydrodynamic coefficients and excitation forces are computed in the frequency domain by using the potential-theory-based 3D diffraction/radiation program. In the successive time-domain simulation, the Cummins equation is used for solving the pontoon's dynamics, and the bridge girders and columns are modeled by the beam theory and finite element formulation. Then, all the components are fully coupled to solve the fully-coupled equation of motion. Subsequently, the wet natural frequencies for various bending modes are identified. Then, the time histories and spectra of the girder's dynamic responses are presented and systematically analyzed. The second-order difference-frequency wave force and slowly-varying wind force may significantly affect the girder's lateral responses through resonance if the bridge's lateral bending stiffness is not sufficient. On the other hand, the first-order wave-frequency forces play a crucial role in the vertical responses.

Dynamic response of curved Timoshenko beams resting on viscoelastic foundation

  • Calim, Faruk Firat
    • Structural Engineering and Mechanics
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    • 제59권4호
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    • pp.761-774
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    • 2016
  • Curved beams' dynamic behavior on viscoelastic foundation is the subject of the current paper. By rewritten the Timoshenko beams theory formulation for the curved and twisted spatial rods, governing equations are obtained for the circular beams on viscoelastic foundation. Using the complementary functions method (CFM), in Laplace domain, an ordinary differential equation is solved and then those results are transformed to real space by Durbin's algorithm. Verification of the proposed method is illustrated by solving an example by variating foundation parameters.

Transient analysis of cross-ply laminated shells using FSDT: Alternative formulation

  • Sahan, Mehmet Fatih
    • Steel and Composite Structures
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    • 제18권4호
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    • pp.889-907
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    • 2015
  • This paper aims to present an alternative analytical method for transient vibration analysis of doubly-curved laminated shells subjected to dynamic loads. In the method proposed, the governing differential equations of laminated shell are derived using the dynamic version of the principle of virtual displacements. The governing equations of first order shear deformation laminated shell are obtained by Navier solution procedure. Time-dependent equations are transformed to the Laplace domain and then Laplace parameter dependent equations are solved numerically. The results obtained in the Laplace domain are transformed to the time domain with the help of modified Durbin's numerical inverse Laplace transform method. Verification of the presented method is carried out by comparing the results with those obtained by Newmark method and ANSYS finite element software. Also effects of number of laminates, different material properties and shell geometries are discussed. The numerical results have proved that the presented procedure is a highly accurate and efficient solution method.

굴곡 융착면을 이용한 고밀도폴리에틸렌 관의 버트 융착 공정에서의 열유체 거동 수치모사 (Numerical Simulation of Heat and Flow Behaviors in Butt-fusion Welding Process of HDPE Pipes with Curved Fusion Surface)

  • 유재현;최선웅;안경현;오주석
    • Korean Chemical Engineering Research
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    • 제55권4호
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    • pp.561-566
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    • 2017
  • 폴리머 재질의 관을 융착 시키기 위해서는 버트 융착 공정을 거치는데, 최근 융착면에 굴곡을 주어 융착 강도를 높이고자 하는 시도가 있었다. 본 연구에서는 융착면의 굴곡이 폴리머의 열유체 거동 및 융착 강도에 어떠한 영향을 미칠 것인지 2차원 축대칭 평면에서 유한요소법을 사용하여 살펴보았으며, 고밀도폴리에틸렌 관을 대상으로 하였다. 열유화 단계에서 융착면의 형상을 따라 굴곡진 상경계면이 나타남을 확인할 수 있었다. 접합 단계에서는 굴곡진 상경계면과 융착면 사이에서의 멜트의 압착 흐름이 나타남을 확인할 수 있었으며, 굴곡융착부의 낮은 전단율은 관의 축과 수직 방향 배향을 완화시켜 융착부 강도 향상에 도움을 줄 수 있을 것으로 예상된다.

SysML 을 이용한 선체 곡판가공 자동화 시스템 모델링 (A Modeling of Automated Hull Curved Plates Forming System using SysML)

  • 노재규;신종계
    • 시스템엔지니어링학술지
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    • 제4권2호
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    • pp.1-13
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    • 2008
  • The development of hull curved plate forming automation system in ship production field begins from the need of stakeholders such as enterprise organization, who need the reduction of cost and time and improvement of productivity, and end users who work for this production process. Even though hull curved plate forming automation system has small scale, it is reasonable to consider the system as an interdisciplinary system, because the system includes all of hardware, software, human and information and has a specified objective to be performed. In this paper, introduction of 4 leading Model-Based Systems Engineering (MBSE)methodologies is described and SysML(Systems Modeling Language), which is designed to analyze, specify, design, and verify complex systems, is introduced in order to support those methodologies. Especially, SysML is applied to system modeling of hull curved plate forming automation system and focused on. The structure diagrams and behavior diagrams based on operational context of the automation system are used to make system architecture. The performed application of SysML to the hull curved plate forming automation system shows an example of applying SysML to the development of other autonomous systems in ship production domain.

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Wake dynamics of a 3D curved cylinder in oblique flows

  • Lee, Soonhyun;Paik, Kwang-Jun;Srinil, Narakorn
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제12권1호
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    • pp.501-517
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    • 2020
  • Three-dimensional numerical simulations were performed to study the effects of flow direction and flow velocity on the flow regime behind a curved pipe represented by a curved circular cylinder. The cylinder is based on a previous study and consists of a quarter segment of a ring and a horizontal part at the end of the ring. The cylinder was rotated in the computational domain to examine five incident flow angles of 0-180° with 45° intervals at Reynolds numbers of 100 and 500. The detailed wake topologies represented by λ2 criterion were captured using a Large Eddy Simulation (LES). The curved cylinder leads to different flow regimes along the span, which shows the three-dimensionality of the wake field. At a Reynolds number of 100, the shedding was suppressed after flow angle of 135°, and oblique flow was observed at 90°. At a Reynolds number of 500, vortex dislocation was detected at 90° and 135°. These observations are in good agreement with the three-dimensionality of the wake field that arose due to the curved shape.

곡판 가공방법 적용을 위한 곡률면적 분석 (Curvature Region Analysis for Application of Plates Forming)

  • 김찬석;손승혁;신종계
    • 대한조선학회논문집
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    • 제52권1호
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    • pp.70-76
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    • 2015
  • The ship hull is accomplished by assembling various curved surfaces. There are numerous existing methods for ship hull processing, which need certain appropriate processing methods to enable it to be more efficient. The curved hull plates can be divided into convex region and saddle region. It is common to use line heating method to form a saddle region, when it comes to a convex region, it will be triangle heating method to be utilized. A precise analysis for curvature domain is required for the application of proper processing method. There exist various problems on existing calculation methods of curvature domain. Therefore, a more powerful method is demanded to it more accurately. In this study, a method called Dual Contouring is applied to extract curved surfaces, which is able to improve accuracy of extracted area. Based on all above, a best-suited heat processing method should be selected.