本文選題：等幾何分析(IGA) + Mindlin板��； 參考：《北京航空航天大學學報》2017年03期

【摘要】：等幾何分析(IGA)中非均勻有理B樣條(NURBS)被同時用作計算機輔助設計(CAD)中的建模工具以及有限元分析(FEA)中的逼近函數。NURBS模型中常見的縫隙和重疊問題使得分析變得困難�；贛indlin板理論,對含有縫隙與重疊部分的NURBS模型進行等幾何分析,采用Nitsche方法處理模型交界面上的非協(xié)調問題,并通過標準數值仿真算例的計算結果與解析解對比驗證方法的可行性。研究結果表明:基于Nitsche的等幾何方法可以用來對含局部縫隙與重疊特征的非協(xié)調Mindlin板模型進行分析;NURBS次數越高,等幾何分析計算結果越精確,并且收斂速度越快。
[Abstract]:Isogeometric analysis (IGA) nonuniform rational B-spline (NURBSs) is also used as a modeling tool in CAD / CAD / CAD) and as an approximation function in finite element analysis (FEAA). The common problems of gaps and overlaps in the Nurbs model make the analysis difficult. Based on the theory of Mindlin board, the NURBS model with gaps and overlaps is analyzed by equal geometry, and the Nitsche method is used to deal with the non-conforming problem at the interface of the model. The feasibility of the method is verified by comparing the calculation results of standard numerical simulation examples with analytical solutions. The results show that the higher the number of Nurbs, the more accurate the equivalent geometric analysis results are and the faster the convergence rate can be obtained by using the equal-geometry method based on Nitsche to analyze the non-conforming Mindlin plate model with local slot and overlapping characteristics.
【作者單位】： 北京航空航天大學機械工程及自動化學院;
【基金】：國家自然科學基金(51305016,61572056) 2013年北京市支持中央高校共建項目(29201437)~~
【分類號】：TB115
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本文編號：1940451