Exact geometry based quasi-conforming analysis for Euler-Bernoulli beam |
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Authors: | Ping Hu Yang Xia Changsheng Wang |
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Institution: | School of Automotive Engineering, Faculty of Vehicle Engineering and Mechanics, State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China |
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Abstract: | The problem of quick analysis using exact geometry data was proposed by Hughes et al. and the isogeometric analysis framework was introduced as a solution. In this letter, the exact geometry concept is combined into the quasi-conforming framework and a novel method, i.e., the exact geometry based quasi-conforming analysis is proposed. In present method the geometry is exactly described by non-uniform rational B-spline bases, while the solution space by traditional polynomial bases. Present method combines the merits of both isogeometric analysis and quasi-conforming finite element method. In this letter Euler-Bernoulli beam problem is solved as an example and the results show that the present method is effective and promising. |
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Keywords: | quasi-conforming method isogeometric analysis non-uniform rational B-spline Euler-Bernoulli beam exact geometry |
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