Isogeometric cable elements based on B-spline curves

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• 作者：Son Thai ; Nam-Il Kim ; Jaehong Lee
• 关键词：Cable structures ; Non ; linear analysis ; Isogeometric analysis ; B ; spline curves ; Form ; finding ; Penalty method
• 刊名：Meccanica
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：52
• 期：4-5
• 页码：1219-1237
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Classical Mechanics; Civil Engineering; Automotive Engineering; Mechanical Engineering;
• 出版者：Springer Netherlands
• ISSN：1572-9648
• 卷排序：52

文摘

In this paper, the isogeometric cable elements based on B-spline curves are developed for the static analysis of cable structures under conservative static loads. For this, the incremental equation of cable is presented from a continuum theory by employing the total Lagrangian formulation for the geometrically non-linear analysis. The B-spline basis functions are utilized to represent the geometry of cables as well as the numerical approximation of a solution space. The h-, p- and k-refinement strategies are implemented to enrich the basis functions. Therefore, they increase the accuracy of solution fields. The penalty method is also used for the purpose of determining the initial configuration of slack cable as an alternative from-finding approach. The robustness and accuracy of the proposed elements as well as the penalty method developed by study are verified by comparing the predictions with the results given by other authors using different analytical and numerical approaches.