A simple explicit arc-length method using the dynamic relaxation method with kinetic damping
- Authors
- Lee, Kyoung Soo; Han, Sang Eul; Park, Taehyo
- Issue Date
- Jan-2011
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Keywords
- Nonlinear analysis; Arc-length method; Dynamic relaxation method; Post-buckling analysis; Kinetic damping
- Citation
- COMPUTERS & STRUCTURES, v.89, no.1-2, pp.216 - 233
- Indexed
- SCIE
SCOPUS
- Journal Title
- COMPUTERS & STRUCTURES
- Volume
- 89
- Number
- 1-2
- Start Page
- 216
- End Page
- 233
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/169269
- DOI
- 10.1016/j.compstruc.2010.09.006
- ISSN
- 0045-7949
- Abstract
- The explicit arc-length method is simulated to trace the post-buckling equilibrium path of structures by using dynamic relaxation method with kinetic damping. This method based on the cylindrical arc-length method does not require the computation and formulation of any tangent stiffness matrix to search the snap-through or snap-back problems. The convergence to the solution is achieved by using only vector equation with kinetic damping technique. Two approaches for cylindrical arc-length control are formulated with incremental and total displacement constraint. The merits of the explicit arc-length method, in tracing the post-buckling behavior of structures, are demonstrated by analyzing the numerical examples.
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