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Isogeometric Analysis of Lattice Structures Having Compression-Twist Coupled Deformation

압축-비틀림이 결합된 격자구조의 아이소-지오메트릭 해석

  • Kang, Se-Hyeon (Department of Naval Architecture and Ocean Engineering, Seoul National University) ;
  • Choi, Myung-Jin (Rheinisch-Westfälische Technische Hochschule Aachen University) ;
  • Oh, Myung-Hoon (Department of Naval Architecture and Ocean Engineering, Seoul National University) ;
  • Yoon, Min-Ho (Department of Mechanical Engineering, Kumoh National Institute of Technology) ;
  • Cho, Seonho (Department of Naval Architecture and Ocean Engineering, Seoul National University)
  • 강세현 (서울대학교 조선해양공학과) ;
  • 최명진 (아헨공과대학교) ;
  • 오명훈 (서울대학교 조선해양공학과) ;
  • 윤민호 (금오공과대학교 기계공학과) ;
  • 조선호 (서울대학교 조선해양공학과)
  • Received : 2021.06.29
  • Accepted : 2021.08.20
  • Published : 2021.10.31

Abstract

We utilized the isogeometric analysis (IGA) method that uses NURBS basis functions in CAD systems, to account for the geometric exactness of a geometrically exact beam deformation, on a new type of metamaterial, twist-translation coupled structure showing a large twist angle. A two-dimensional unit cell structure was embedded in a cylindrical wall, using free-form deformation and an appropriate interpolation scheme. A parametric study on the effects of the dimensions of the cylinder and the number of cells, on the twisting angle was performed. Furthermore, the mechanism of the twist-translation coupled metamaterial was explored through numerical examples.

본 논문에서는 CAD 시스템에서 사용하는 NURBS 기저함수를 사용하는 아이소-지오메트릭 해석(Isogeometric analysis) 방법과 기하학적으로 엄밀한 빔 모델링(geometrically exact beam model)을 활용하여 회전과 병진 운동이 결합된 새로운 형태의 메타물질(metamaterial)에 대한 해석을 진행하였다. 이차원 셀 구조는 자유형상변환(Free-form deformation) 법과 적절한 내삽법(Interpolation)을 통해 원통 위에 입혀졌다. 원통의 치수와 셀 개수가 비틀림 각도에 미치는 영향이 매개변수 연구(parametric study)를 통해 확인되었다. 비틀림과 병진 운동이 결합된 구조의 메커니즘에 대해 수치 예제를 통해 알아보았다.

Keywords

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