Journal of the Korean Society for Aeronautical & Space Sciences (한국항공우주학회지)

The Korean Society for Aeronautical and Space Sciences (한국항공우주학회)
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Computational Algorithm for Nonlinear Large-scale/Multibody Structural Analysis Based on Co-rotational Formulation with FETI-local Method

Co-rotational 비선형 정식화 및 FETI-local 기법을 결합한 비선형 대용량/다물체 구조 해석 알고리듬 개발

  • Cho, Haeseong (Department of Mechanical and Aerospace Engineering, Seoul National University) ;
  • Joo, HyunShig (Department of Mechanical and Aerospace Engineering, Seoul National University) ;
  • Lee, Younghun (Department of Mechanical and Aerospace Engineering, Seoul National University) ;
  • Gwak, Min-cheol (Department of Mechanical and Aerospace Engineering, Seoul National University) ;
  • Shin, SangJoon (Department of Mechanical and Aerospace Engineering, Institute of Advanced Aerospace Technology, Seoul National University) ;
  • Yoh, Jack J. (Department of Mechanical and Aerospace Engineering, Seoul National University)
  • Received : 2016.06.21
  • Accepted : 2016.08.24
  • Published : 2016.09.01
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Abstract

In this paper, a computational algorithm of an improved and versatile structural analysis applicable for large-size flexible nonlinear structures is developed. In more detail, nonlinear finite element based on the co-rotational (CR) framework is developed. Then, a finite element tearing and interconnecting method using local Lagrange multipliers (FETI-local) is combined with the nonlinear CR finite element. The resulting computational algorithm is presented and applied for nonlinear static analyses, i.e., cantilevered beam and multibody structure. Finally, the proposed analysis is evaluated with regard to its parallel computation performance, and it is compared with those obtained by serial computation using the sparse matrix linear solver, PARDISO.

본 논문에서는 비선형 다물체 동역학 해석에 적용 가능한 구조해석을 개발하였다. 비선형 구조 해석을 위해 Co-rotational 이론 기반의 유한요소를 개발하였다. 그리고 국부 Lagrange 승수를 활용한 영역분할해석 기법을 적용하여 대용량/다물체 해석이 가능한 구조해석 알고리듬을 개발하였다. 기 개발한 구조 해석은 외팔보 및 다물체 구조에 대한 비선형 정적 해석 예제에 적용하였다. 병렬 계산에 따른 성능 평가는 희박행렬 계산 라이브러리인 PARDISO와 비교하였다. 이를 통해 기 개발 구조해석의 계산 속도 향상을 확인하였다.

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References

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