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2018 Vol.31, Issue 2
Studies of Interface Continuity in Isogeometric Structural Analysis for Multi-patch Shell Components

다중 패치 쉘 아이소 지오메트릭 해석의 계면 연속성 검토

Youn Doh Ha1†
,
Jungmin Noh1
하 윤 도1†
,
노 정 민1
1Department of Naval Architecture and Ocean Engineering, Kunsan National University, Gunsan, 54150, Korea
1군산대학교 조선해양공학과
†Corresponding author: Tel: +82-63-469-1856; E-mail: ydha@kunsan.ac.kr
2018. pp. 71-78
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Abstract

This paper presents the assembling of multiple patches based on the single patch isogeometric formulation for the shear deformable shell element given in the previous study. The geometrically exact shell formulation has been accomplished with the shell theory based formulation and the generalized curvilinear coordinate system directly derived from the given NURBS geometry. For the knot elements matching across adjacent surfaces, the zero-th and first parametric continuity conditions are considered and the corresponding coupling constraints are implemented by a master-slave formulation between adjacent patches. The constraints are then enforced by a substitution method for condensation of the slave variables, thereby reducing the model size. Through numerical investigations, the important features of the first parametric continuity condition are confirmed. The performance of the multi-patch shell models is also examined comparing the rate of convergence of response coefficients for the zero and first order continuity conditions and continuity in coupling boundary between two patches is confirmed.

Keywords
isogeometric analysis
multi-patch formulation
parametric continuity conditions
NURBS
geometrically exact shell formulation

본 연구에서는 NURBS 기반 아이소 지오메트릭 쉘 해석을 위해 다중 패치 해석 모델을 정식화하였다. 기존 연구를 통해 개발된 단일 패치로 구성된 전단 변형을 고려한 쉘 요소에 대해 일반 좌표계에서 기하학적으로 엄밀한 쉘 구조물의 아이소 지오메트릭 해석 모델을 도입하고 매개변수 연속성을 고려하여 다중 패치 모델로 확장하였다. 인접 곡면의 노트 요소가 결 합 경계를 통해 조화를 이루는 경우에 대해 0차와 1차 매개변수 연속성 조건을 고려하였으며, 두 패치 간 마스터-슬레이브 관계를 정립하여 종속된 한 곡면의 자유도를 상대 곡면의 자유도로 표시하여 모델 크기를 줄이면서 두 곡면을 결합하였다. 다중 패치 쉘 예제에 대해 0차와 1차 연속성 조건을 각각 적용하여 구조해석을 수행하여 1차 연속성 조건의 주요한 특성들을 확인하였다. 또한 각 연속성 조건에 대한 해의 수렴 특성을 검토하였으며 결합 경계에서의 두 패치의 연속성을 확인하였다.

키워드
아이소 지오메트릭 해석
다중 패치 정식화
매개변수 연속성 조건
NURBS
기하학적으로 엄밀한 쉘 정식화
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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 : 31
  • No :2
  • Pages :71-78
  • Received Date : 2018-01-03
  • Revised Date : 2018-02-07
  • Accepted Date : 2018-02-08
  • DOI :https://doi.org/10.7734/COSEIK.2018.31.2.71
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