• 제목/요약/키워드: NURBS(NURBS)

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설계의존형 하중조건을 갖는 시스템의 아이소-지오메트릭 형상 최적설계 (Isogeometric Shape Design Optimization of Structural Systems Subjected to Design-dependent Loads)

  • 구본용;하승현;조선호
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2010년도 정기 학술대회
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    • pp.512-515
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    • 2010
  • 본 논문에서는 등기하 해석법을 이용하여 설계의존형 하중조건을 갖는 구조물에 대한 형상 최적설계를 수행하였다. 유한요소법 기반 형상 최적설계는 CAD 모델과 해석 모델의 차이로 인해, 설계영역 매개변수화에 어려움이 있다. 등기하 해석법은 CAD 모델과 동일한 NURBS 기저 함수와 조정점을 해석에 이용함으로써 설계의 기하학적 변화를 해석모델에 직접적으로 표현할 수 있는 장점을 가진다. 하중조건이 설계 영역이 변화함에 따라 변하는 최적설계 문제의 경우, 정확한 설계 영역 표현은 법선 벡터, 즉 변화하는 하중의 방향과 곡률과 같은 고차항의 정보를 정확하게 표현할 수 있고, 따라서 목적함수를 최소 또는 최대화시키는 최적의 해로 이끌어 낸다. 유한요소법 또는 밀도법을 이용한 형상 최적설계에서 설계의존형 하중조건을 갖는 구조물의 문제를 푸는 경우, 최적설계가 진행됨에 있어 변화하는 경계의 부정확성 때문에 정확한 설계민감도를 얻기가 어려운 점이 있다. 본 논문에서는, 수치 예제를 통해 등기하 해석 기반의 형상 최적설계 방법론이 설계의존형 하중조건을 갖는 구조물 문제에서 수월성을 가짐을 확인하였다.

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Deformation estimation of plane-curved structures using the NURBS-based inverse finite element method

  • Runzhou You;Liang Ren;Tinghua Yi ;Hongnan Li
    • Structural Engineering and Mechanics
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    • 제88권1호
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    • pp.83-94
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    • 2023
  • An accurate and highly efficient inverse element labelled iPCB is developed based on the inverse finite element method (iFEM) for real-time shape estimation of plane-curved structures (such as arch bridges) utilizing onboard strain data. This inverse problem, named shape sensing, is vital for the design of smart structures and structural health monitoring (SHM) procedures. The iPCB formulation is defined based on a least-squares variational principle that employs curved Timoshenko beam theory as its baseline. The accurate strain-displacement relationship considering tension-bending coupling is used to establish theoretical and measured section strains. The displacement fields of the isoparametric element iPCB are interpolated utilizing nonuniform rational B-spline (NURBS) basis functions, enabling exact geometric modelling even with a very coarse mesh density. The present formulation is completely free from membrane and shear locking. Numerical validation examples for different curved structures subjected to different loading conditions have been performed and have demonstrated the excellent prediction capability of iPCBs. The present formulation has also been shown to be practical and robust since relatively accurate predictions can be obtained even omitting the shear deformation contributions and considering polluted strain measures. The current element offers a promising tool for real-time shape estimation of plane-curved structures.

A Sweep Surface Based on Bivariate B-spline Motion

  • Yoon, Seung-Hyun
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제8권3호
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    • pp.1026-1039
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    • 2014
  • We present a new method for generating sweep surfaces using bivariate B-spline motion. The sweep surface is defined as the trace of a single point under bivariate B-spline motion. Direct manipulation of the sweep surface is achieved by controlling its motion components while producing various editing effects. We demonstrate the effectiveness of our technique by modeling and deforming various three-dimensional shapes.

기능성곡면의 역공학 적용에 관한 연구 (A Study on Application of Reverse Engineering for Technical Surfaces)

  • 황종대;정종윤;정윤교
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2002년도 춘계학술대회 논문집
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    • pp.319-325
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    • 2002
  • Reverse Engineering is to find CAD model through measured data of a physical model which is not available in CAD model. The measured data are obtained from measuring with Coordinate Measuring Machine or Laser Scanner. This paper introduces efficient methods of reconstruction through the applicating process of the Reverse Engineering with technical surfaces.

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Surface Rendering using Stereo Images

  • Lee, Sung-Jae;Lee, Jun-Young;Lee, Myoung-Ho;Kim, Jeong-Hoon
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.181.5-181
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    • 2001
  • This paper presents the method of 3D reconstruction of the depth information from the endoscopic stereo scopic images. After camera modeling to find camera parameters, we performed feature-point based stereo matching to find depth information. Acquired some depth information is finally 3D reconstructed using the NURBS(Non Uniform Rational B-Spline) algorithm. The final result image is helpful for the understanding of depth information visually.

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역설계를 이용한 자유곡면 모델링 시스템 개발 (Development of Free-Form Surface Modeling System Using the Reverse engineering Technology)

  • 명태식
    • 한국생산제조학회지
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    • 제9권3호
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    • pp.111-122
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    • 2000
  • It is difficult to make shape library for featrue-based modeling because free-form surface is various shaped complicated To make modeling using similar shape feature-based model is easy and fast. Recently RE(Reverse Engineering) technolo-gy is very convenient method to get free-form surface. This study develops surface editor which makes surface modeling to manipulate control points and this study We study on the effective model data management using database system.

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NURBS를 이용한 격자생성 및 제어기법 (A STUDY ON THE NURBS GRID GENERATION AND GRID CONTROL)

  • 윤용현
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2007년도 춘계 학술대회논문집
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    • pp.108-111
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    • 2007
  • A fast and robust method of grid generation to multiple functions has been developed for flow analysis in three dimensional space. It is based on the Non-Uniform Rational B-Spline of an approximation method. The grid generation method, details of numerical implementation. examples of application, and potential extensions of the current method are illustrated in this paper.

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스테레오 영상에서의 깊이정보를 이용한 3차원 입체화 (Volumetric Visualization using Depth Information of Stereo Images)

  • 이성재;김정훈;윤성원;최종주;이명호
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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    • pp.541-541
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    • 2000
  • This paper Presents the method of 3D reconstruction of the depth information from the endoscopic stereo scopic images. After camera modeling to find camera parameters, we peformed feature-point based stereo matching to find depth information. Acquired some depth information is finally 3D reconstructed using the NURBS(Non Uniform Rational B-Spline) algorithm. The final result image is helpful for the understanding of depth information visually.

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R-adptivity 기법을 이용한 쉘 곡면의 유한요소해석 (Fimite Element Analysis for Shell Surface using R-adativity)

  • 전성기;조맹효
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2001년도 가을 학술발표회 논문집
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    • pp.311-318
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    • 2001
  • The R-adaptivity method to the shell surface which is presented by the NURBS is proposed. The r-adaptiivty method , given by Liao and Anderson〔2〕, aggregate the grid in the region where is relatively high weight function without any grid-tanggling. In numerical examples, the strain energy error estimate of shell in the whole domain can be reduced effectively by using applied r- adaptivity method mesh.

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격자 조절기법에 관한 연구 (A Study on the Techniques of Grid Control for Numerical Grid Generation)

  • 윤용현
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2002년도 추계 학술대회논문집
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    • pp.84-87
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    • 2002
  • When computing the flow around complex three dimensional configurations, the generation of grid is the sunt time consuming part of any calculation. The object of this study is to develop the grid duster techniques capable of resolving complex flows with shock waves, expansion waves, shear layers, and cursive shapes, The Dot insert method of Non-Uniform Rational B-Splines is described as a id control method.

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