동적이완법에 의한 새로운 비선형해석법의 개발

다국어 초록 (Multilingual Abstract)

In this study, we simulate new nonlinear analysis algorithm, explicit arc-length method, to trace the post-buckling equilibrium path of spatial structures by dynamic relaxation method. The method based on the constant arc-length method proposed by Crisfield, does not require the computation or formulation of any tangent stiffness matrix to search snap-through or snap-back buckling path beyond limit point. The convergence to the solution is achieved by using only vectorial quantities and no stiffness matrix is required in its overall assembled form. The merit of using explicit arc-length method by dynamic relaxation methods, in tracing the post-buckling behavior of spatial structures, are demonstrated by analyzing the numerical verification example

목차 (Table of Contents)

• Abstract
• 1. 서론
• 2. 전체 포텐셜에너지
• 3. 뉴튼랩슨법의 정식화
• 4. 동적이완법의 정식화
• 5. 수치해석의 안정성 및 동적감쇠의 적용
• 6. 비선형 수치해석 알고리즘
• 7. 수치해석 예제를 통한 이론의 검증
• 8. 결론
• 감사의 글
• 참고문헌

참고문헌 (Reference)

1 한상을, "동적이완법을 이용한 공간구조의 후좌굴 해석에 관한 연구" 대한건축학회 22 (22): 61-68, 2006

2 한상을, "동적이완법에 의한 불안정 구조물의 안정화이행과정 해석에 관한 연구" 11 (11): 591-602, 1999

3 한상을, "공간구조의 후좌굴 해석에 관한 연구" 대한건축학회 23 (23): 53-60, 2007

4 한상을, "공간구조물의 비선형 탄소성 후좌굴해석에 관한 연구" 대한건축학회 23 (23): 59-68, 2007

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