含局部缝隙与重叠特征的Mindlin板等几何分析

发布时间：2018-05-27 04:32

  本文选题：等几何分析(IGA) + Mindlin板　； 参考：《北京航空航天大学学报》2017年03期

【摘要】：等几何分析(IGA)中非均匀有理B样条(NURBS)被同时用作计算机辅助设计(CAD)中的建模工具以及有限元分析(FEA)中的逼近函数。NURBS模型中常见的缝隙和重叠问题使得分析变得困难。基于Mindlin板理论,对含有缝隙与重叠部分的NURBS模型进行等几何分析,采用Nitsche方法处理模型交界面上的非协调问题,并通过标准数值仿真算例的计算结果与解析解对比验证方法的可行性。研究结果表明:基于Nitsche的等几何方法可以用来对含局部缝隙与重叠特征的非协调Mindlin板模型进行分析;NURBS次数越高,等几何分析计算结果越精确,并且收敛速度越快。
[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.
【作者单位】： 北京航空航天大学机械工程及自动化学院;
【基金】：国家自然科学基金(51305016,61572056) 2013年北京市支持中央高校共建项目(29201437)~~
【分类号】：TB115
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本文编号：1940451