%0 Journal Article
%T 常用柱面网格生成互承构型的可行性判定
%A 徐霄雁
%A 肖南
%A 范冰河
%J 浙江大学学报(工学版)
%D 2018
%R 10.3785/j.issn.1008-973X.2018.08.019
%X 分析互承构型的几何关系、物理关系和几何协调关系，提出三层次判定法，系统地分析并且求解柱面网格直接转换法生成互承构型的18种方案的可行性.对柱面网壳常用网格型式进行预判定后，通过自编的Matlab程序，完成旋转法、扩展平移法和收缩法对四边形网格、联方型网格、三向网格I型和三向网格II型的直接转换.采用三层次判定法对14种方案进行第一层次的偏心距和差零值判定、第二层次单元块的物理判定和第三层次所有节点的几何协调性判定.给出3种可行方案的偏心距解析表达式，证明一般光滑曲线挤出曲面的四边形网格也能够生成互承构型，并且解析关系与柱面的相同.判定和分析结果表明，四边形和三向网格II型的互承构型具有良好的工程适用性，能够实现快速搭建.</br>Abstract: The geometry, physical and geometrical coordinate relations of reciprocal configuration were analyzed and three-level-determination method was put forward. Eighteen possible schemes from cylindrical grids to reciprocal configurations by direct conversion approaches were systematically analyzed and solved. After preliminary judgement on the grid patterns commonly used for cylindrical reticulated shell, rotation method, extended translation method and contraction method were applied for direct conversion of quadrilateral grid, lamella grid, three-way grid type I and three-way grid type Ⅱ on cylindrical shell to convert by self-programmed Matlab. Three-level determinations were carried out for fourteen schemes after preliminary judgement conducted, namely voiding the eccentricity sum difference as the first level judgement, the physical conditions in elements around a node as the second level judgement, and the geometric coordination at all nodes as the third level. The eccentricity formulas of three feasible schemes were analytically proposed, and the fact is proved that general quadrilateral grids with smooth curve on the extrusion surface can be converted to reciprocal configurations which shared the same geometric analytical relationships with those of cylindrical reticulated shell. Results show that the reciprocal configurations with quadrilateral grid and three-way grid type Ⅱ are well suitable for engineering application requiring rapid construction.
%U http://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2018.08.019