• 제목/요약/키워드: NURBS Non-uniform rational B-Spline

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Influence of vacancy defects on vibration analysis of graphene sheets applying isogeometric method: Molecular and continuum approaches

  • Tahouneh, Vahid;Naei, Mohammad Hasan;Mashhadi, Mahmoud Mosavi
    • Steel and Composite Structures
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    • 제34권2호
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    • pp.261-277
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    • 2020
  • The main objective of this research paper is to consider vibration analysis of vacancy defected graphene sheet as a nonisotropic structure via molecular dynamic and continuum approaches. The influence of structural defects on the vibration of graphene sheets is considered by applying the mechanical properties of defected graphene sheets. Molecular dynamic simulations have been performed to estimate the mechanical properties of graphene as a nonisotropic structure with single- and double- vacancy defects using open source well-known software i.e., large-scale atomic/molecular massively parallel simulator (LAMMPS). The interactions between the carbon atoms are modelled using Adaptive Intermolecular Reactive Empirical Bond Order (AIREBO) potential. An isogeometric analysis (IGA) based upon non-uniform rational B-spline (NURBS) is employed for approximation of single-layered graphene sheets deflection field and the governing equations are derived using nonlocal elasticity theory. The dependence of small-scale effects, chirality and different defect types on vibrational characteristic of graphene sheets is investigated in this comprehensive research work. In addition, numerical results are validated and compared with those achieved using other analysis, where an excellent agreement is found. The interesting results indicate that increasing the number of missing atoms can lead to decrease the natural frequencies of graphene sheets. It is seen that the degree of the detrimental effects differ with defect type. The Young's and shear modulus of the graphene with SV defects are much smaller than graphene with DV defects. It is also observed that Single Vacancy (SV) clusters cause more reduction in the natural frequencies of SLGS than Double Vacancy (DV) clusters. The effectiveness and the accuracy of the present IGA approach have been demonstrated and it is shown that the IGA is efficient, robust and accurate in terms of nanoplate problems.

Mock-up 부재제작을 통한 비정형 건축 외장부재의 제작 문제점 분석 및 개선방안에 관한 연구 (A Study on the Problem Analysis and Quality Improvement in Fabricating Free-Form Buildings Facade Panels through Mock-up Panels Production)

  • 권순호;심현우;옥종호
    • 한국건설관리학회논문집
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    • 제12권3호
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    • pp.11-21
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    • 2011
  • 비정형 건축물은 건축가의 디자인 의도를 반영한 다양한 형태의 외장 디자인을 포함한다. 이러한 비정형 형태의 외장부재는 NURBS (Non-Uniform Rational B-Spline) 라 불리는 이 방향 곡률로 구성된 불규칙한 자유곡선면을 포함하고 있어 실제 외장부재의 생산 및 시공을 위해서는 3차원 비정형 BIM 기술을 적용한 패널최적화 단계를 거쳐야 한다. 본 연구에서는 역공학(Reverse Engineering) 기법을 근간으로 사례연구를 통해 비정형 건축물 BIM 도구인 디지털 프로젝트를 활용하여 패널형태를 구축하고 패널 최적화 결과를 도출한다. 최적화 결과 도출된 비정형 패널부재의 곡률 형상에 따른 Mock-Up 패널제작을 통해 패널종류에 따른 제작 용이성을 테스트하고 레이저 스케닝 기술을 사용하여 설계한 패널과 생산된 패널과의 데이터를 비교함으로써 이방향 곡률 곡면부재의 제작정밀도를 분석한다. Mock-Up 부재 제작 시 전문가 인터뷰를 통하여 국내에서 수행되고 있는 현행 비정형 외장부재 생산방식의 문제점을 도출하고 개선방안을 제시한다.