• Title/Summary/Keyword: NURBS(NURBS)

Search Result 274, Processing Time 0.019 seconds

Multi-material topology optimization for crack problems based on eXtended isogeometric analysis

  • Banh, Thanh T.;Lee, Jaehong;Kang, Joowon;Lee, Dongkyu
    • Steel and Composite Structures
    • /
    • v.37 no.6
    • /
    • pp.663-678
    • /
    • 2020
  • This paper proposes a novel topology optimization method generating multiple materials for external linear plane crack structures based on the combination of IsoGeometric Analysis (IGA) and eXtended Finite Element Method (X-FEM). A so-called eXtended IsoGeometric Analysis (X-IGA) is derived for a mechanical description of a strong discontinuity state's continuous boundaries through the inherited special properties of X-FEM. In X-IGA, control points and patches play the same role with nodes and sub-domains in the finite element method. While being similar to X-FEM, enrichment functions are added to finite element approximation without any mesh generation. The geometry of structures based on basic functions of Non-Uniform Rational B-Splines (NURBS) provides accurate and reliable results. Moreover, the basis function to define the geometry becomes a systematic p-refinement to control the field approximation order without altering the geometry or its parameterization. The accuracy of analytical solutions of X-IGA for the crack problem, which is superior to a conventional X-FEM, guarantees the reliability of the optimal multi-material retrofitting against external cracks through using topology optimization. Topology optimization is applied to the minimal compliance design of two-dimensional plane linear cracked structures retrofitted by multiple distinct materials to prevent the propagation of the present crack pattern. The alternating active-phase algorithm with optimality criteria-based algorithms is employed to update design variables of element densities. Numerical results under different lengths, positions, and angles of given cracks verify the proposed method's efficiency and feasibility in using X-IGA compared to a conventional X-FEM.

Applicability Analysis of Measurement Data Classification and Spatial Interpolation to Improve IUGIM Accuracy (지하공간통합지도의 정확도 향상을 위한 계측 데이터 분류 및 공간 보간 기법 적용성 분석)

  • Lee, Sang-Yun;Song, Ki-Il;Kang, Kyung-Nam;Kim, Wooram;An, Joon-Sang
    • Journal of the Korean Geotechnical Society
    • /
    • v.38 no.10
    • /
    • pp.17-29
    • /
    • 2022
  • Recently, the interest in integrated underground geospatial information mapping (IUGIM) to ensure the safety of underground spaces and facilities has been increasing. Because IUGIM is used in the fields of underground space development and underground safety management, the up-to-dateness and accuracy of information are critical. In this study, IUGIM and field data were classified, and the accuracy of IUGIM was improved by spatial interpolation. A spatial interpolation technique was used to process borehole data in IUGIM, and a quantitative evaluation was performed with mean absolute error and root mean square error through the cross-validation of seven interpolation results according to the technique and model. From the cross-validation results, accuracy decreased in the order of nonuniform rational B-spline, Kriging, and inverse distance weighting. In the case of Kriging, the accuracy difference according to the variogram model was insignificant, and Kriging using the spherical variogram exhibited the best accuracy.

BIM-Based Generation of Free-form Building Panelization Model (BIM 기반 비정형 건축물 패널화 모델 생성 방법에 관한 연구)

  • Kim, Yang-Gil;Lee, Yun-Gu;Ham, Nam-Hyuk;Kim, Jae-Jun
    • Journal of KIBIM
    • /
    • v.12 no.4
    • /
    • pp.19-31
    • /
    • 2022
  • With the development of 3D-based CAD (Computer Aided Design), attempts at freeform building design have expanded to small and medium-sized buildings in Korea. However, a standardized system for continuous utilization of shape data and BIM conversion process implemented with 3D-based NURBS is still immature. Without accurate review and management throughout the Freeform building project, interference between members occurs and the cost of the project increases. This is very detrimental to the project. To solve this problem, we proposed a continuous utilization process of 3D shape information based on BIM parameters. Our process includes algorithms such as Auto Split, Panel Optimization, Excel extraction based on shape information, BIM modeling through Adaptive Component, and BIM model utilization method using ID Code. The optimal cutting reference point was calculated and the optimal material specification was derived using the Panel Optimization algorithm. With the Adaptive Component design methodology, a BIM model conforming to the standard cross-section details and specifications was uniformly established. The automatic BIM conversion algorithm of shape data through Excel extraction created a BIM model without omission of data based on the optimized panel cutting reference point and cutting line. Finally, we analyzed how to use the BIM model built for automatic conversion. As a result of the analysis, in addition to the BIM utilization plan in the general construction stage such as visualization, interference review, quantity calculation, and construction simulation, an individual management plan for the unit panel was derived through ID data input. This study suggested an improvement process by linking the existing research on atypical panel optimization and the study of parameter-based BIM information management method. And it showed that it can solve the problems of existing Freeform building project.

Digital Restoration of Ring-Pommeled Sword by Using Technology of 3D Shape Information Processing (3차원 형상정보 처리기술을 이용한 환두대도의 디지털 원형복원)

  • Kim Young-Won;Jun Byung-Hwan
    • The Journal of the Korea Contents Association
    • /
    • v.5 no.4
    • /
    • pp.133-140
    • /
    • 2005
  • Culture Technology is the basic technology which produces cultural contents in a narrow sense. All nations do their best in order to create new contents which can form international and cultural sympathy. If a variety of contents are created by applying Korean proper cultural heritages, they will be creative and competitive internationally. Therefore, technology of original cultural restoration is an essential and crucial skill. In this paper, 'gilt bronze dragon-phoenix ring-pommeled sword', a cultural heritage of baekje age, will be restored to the original form digitally on the basis of three-dimensional shape-information processing technology and the scientifically analyzed data. First of all, data from three-dimensional scanning is revised using stuffing and smoothing methods after sampling, extracting characteristics, and align. Then, they are modeled in a curved surface with NURBS and B-Spline. Secondly, textures are edited by estimating the color of components and the quality of materials, and then they are mapped. Original form model which was made was revised and corrected by specialists' examinations. The digitally revised ring-pommeled sword was combined with information technology, and it can be used to revise damaged cultural heritages by constructing formal database of ring-pommeled sword with regard to age, area and type. It can be also used as educational contents in archaeology or preservation science and cultural contents such as movies, broadcasts, games, animations and so on.

  • PDF