Journal of the Computational Structural Engineering Institute of Korea (한국전산구조공학회논문집)

Computational Structural Engineering Institute of Korea (한국전산구조공학회)
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Development of Nonlinear Triangular Planar Element Based on Co-rotational Framework

Co-rotational 이론 기반 비선형 삼각평면 유한요소의 개발

  • Cho, Hae-Seong (Department of Aerospace and Mechanical Engineering, Seoul National University) ;
  • Shin, Sang-Joon (Department of Aerospace and Mechanical Engineering, Seoul National University)
  • 조해성 (서울대학교 기계항공공학부) ;
  • 신상준 (서울대학교 기계항공공학부)
  • Received : 2015.06.16
  • Accepted : 2015.07.22
  • Published : 2015.10.30
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Abstract

This paper presents development of a geometrically nonlinear triangular planar element including rotational degrees of freedom, based on the co-rotational(CR) formulation. The CR formulation is one of the efficient geometrically nonlinear formulations and it is based on the assumptions on small strain and large rotation. In this paper, modified CR formulation is suggested for the developemnt of a triangular planar element. The present development is validated regarding the static and time transient problems. The present results are compared with the results predicted by the previous researchers and those obtained by the existing commercial software.

구조의 기하학적 비선형해석을 위해 대표적으로 Total Lagrangian, Updated Lagrangian 정식화 기법이 있다. 이러한 고전적인 정식화 과정은 요소의 변형률을 가정하는 방법에 따라 그리고 요소의 절점 수에 따라 추가의 수학적 정식화 과정이 요구된다. 하지만 비교적 최근에 정립된 Co-roational(CR) 이론은 기 존재하는 보, 판, 쉘 요소에 독립적으로 요소 절점자유도에 따라 일정하게 적용하여 대변위, 작은 변형률을 갖는 구조의 기하비선형 해석을 가능케 한다. 본 논문에서는 회전자유도를 갖는 삼각평면요소에 대한 CR 기법을 정식화하였고 동적해석으로 확장하여 이를 상용프로그램과 검증하였다. 해석에 사용한 삼각평면요소는 OPtimal Triangular(OPT) 평면요소이다.

Keywords

References

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