Key considerations in tracing the postbuckling response of structures with multi winding loops

Y. B. Yang*, L. J. Leu, Judy Ping Yang

*此作品的通信作者

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24 引文 斯高帕斯(Scopus)

摘要

The postbuckling response of structures with multi winding loops is characterized by the appearance of multi adjacent equilibrium paths, which often makes the iterations difficult to converge to the desired path. In this paper, some key issues for tracing the postbuckling response of a structure using an incremental-iterative approach are discussed. Concerning the finite element equations used, it is essential that the corrector used for recovering the element forces from the element displacements be made as accurate as possible, and that the predictor for computing the structural displacements under given load increments, which are approximate by nature due to linearization involved, be accurate to the level not to misguide the iterations. As for the incremental-iterative scheme, it is required to be: (1) numerically stable when encountering the limit points, (2) adjustable in load increments to reflect the stiffness variation, and (3) self-adaptive in changing the loading direction. To demonstrate the ideas involved, some examples with highly complicated postbuckling responses will be solved in this paper.

原文English
頁(從 - 到)175-189
頁數15
期刊Mechanics of Advanced Materials and Structures
14
發行號3
DOIs
出版狀態Published - 3月 2007

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