All Issue

2021 Vol.34, Issue 5 Preview Page

Research Paper

Isogeometric Analysis of Lattice Structures Having Compression-Twist Coupled Deformation

압축-비틀림이 결합된 격자구조의 아이소-지오메트릭 해석

Se-Hyeon Kang1
,
Myung-Jin Choi2
,
Myung-Hoon Oh1
,
Min-Ho Yoon3
,
Seonho Cho4*
강 세현1
,
최 명진2
,
오 명훈1
,
윤 민호3
,
조 선호4*
1Ph.D. Candidates, Department of Naval Architecture and Ocean Engineering, Seoul National University, Seoul, 08826, Korea
2Postdoctoral Researcher, Rheinisch-Westfälische Technische Hochschule Aachen University, Aachen, Germany
3Assistant Professor, Department of Mechanical Engineering, Kumoh National Institute of Technology, Gumi, 39177, Korea
4Professor, Department of Naval Architecture and Ocean Engineering, Seoul National University, Seoul, 08826, Korea
1서울대학교 조선해양공학과 박사과정
2아헨공과대학교 박사후연구원
3금오공과대학교 기계공학과 조교수
4서울대학교 조선해양공학과 교수
*Corresponding Author
31 October 2021. pp. 287-292
PDF XML Citation
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.

Keywords
metamaterial
isogeometric analysis
compression-twist

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.

키워드
메타물질
아이소-지오메트릭 해석
압축-비틀림 운동
References
1
Bertoldi, K., Vitelli, V., Christensen, J., Van Hecke, M. (2017) Flexible Mechanical Metamaterials, Nature Rev. Mater., 2(11), pp.1~11. 10.1038/natrevmats.2017.66
2
Chen, W., Ruan, D., Huang, X. (2018) Optimization for Twist Chirality of Structural Materials Induced by Axial Strain, Mater. Today Commun., 15, pp.175~184. 10.1016/j.mtcomm.2018.03.010
3
Cho, S., Ha, S.H. (2009) Isogeometric Shape Design Optimization: Exact Geometry and Enhanced Sensitivity, Struct. & Multidiscip. Optim., 38(1), pp.53~70. 10.1007/s00158-008-0266-z
4
Farrell, D.T., Mcginn, C., Bennett, G.J. (2020) Extension Twist Deformation Response of an Auxetic Cylindrical Structure Inspired by Deformed Cell, Compos. Struct., 238, p.111901. 10.1016/j.compstruct.2020.111901
5
Frenzel, T., Kadic, M., Wegener, M. (2017) Three-Dimensional Mechanical Metamaterials with a Twist, Sci., 358(6366), pp. 1072~1074. 10.1126/science.aao464029170236
6
Hughes, T.J.R., Cottrell, J.A., Bazilevs, Y. (2005) Isogeometric Analysis: CAD, Finite Elements, NURBS, Exact Geometry and Mesh Refinement, Comput. Methods Appl. Mech. & Eng., 194 (39-41), pp.4135~4195. 10.1016/j.cma.2004.10.008
7
Lipton, J.I., MacCurdy, R., Manchester, Z., Chin, L., Cellucci, D., Rus, D. (2018) Handedness in Shearing Auxetics Creates Rigid and Compliant Structures, Sci., 360(6389), pp.632~635. 10.1126/science.aar458629748279
8
Ma, C., Lei, H., Hua, J., Bai, Y., Liang, J., Fang, D. (2018) Experimental and Simulation Investigation of the Reversible Bi-Directional Twisting Response of Tetra-Chiral Cylindrical Shells, Compos. Struct., 203, pp.142~152. 10.1016/j.compstruct.2018.07.013
9
Novak, N., Vesenjak, M., Ren, Z. (2016) Auxetic Cellular Materials - A Review, Strojniski Vestnik/J. Mech. Eng., 62(9), pp.485~493. 10.5545/sv-jme.2016.3656
10
Oh, M.-H., Choi, M.-J., Byun, T., Cho, S. (2017) Porous Structures with Negative Poisson's Ratio using Pattern Transformation Triggered by Deformation, J. Comput. Struct. Eng. Inst. Korea, 30(4), pp.275~282. 10.7734/COSEIK.2017.30.4.275
11
Wu, W., Geng, L., Niu, Y., Qi, D., Cui, X., Fang, D. (2018) Compression Twist Deformation of Novel Tetrachiral Architected Cylindrical Tube Inspired by Towel Gourd Tendrils, Extreme Mech. Letters, 20, pp.104~111. 10.1016/j.eml.2018.02.001
Information
  • Publisher :Computational Structural Engineering Institute of Korea
  • Publisher(Ko) :한국전산구조공학회
  • Journal Title :Journal of the Computational Structural Engineering Institute of Korea
  • Journal Title(Ko) :한국전산구조공학회 논문집
  • Volume : 34
  • No :5
  • Pages :287-292
  • Received Date : 2021-06-29
  • Revised Date : 2021-08-06
  • Accepted Date : 2021-08-20
  • DOI :https://doi.org/10.7734/COSEIK.2021.34.5.287
Journal Informaiton Journal of the Computational Structural Engineering Institute of Korea Journal of the Computational Structural Engineering Institute of Korea
Online Submission
  • NRF
  • KOFST
  • crossref crossmark
  • crossref cited-by
  • crosscheck
  • orcid
  • open access
  • ccl
Journal Informaiton Journal Informaiton - close