摘要
本文论述了有限元网格全自动生成的四分法。这种方法适用于任意形状的平面结构,且形体内部可以带有若干个任何形状的孔洞;自动生成的单元以四点元为主,边界辅以三角形元;该法还允许有限元网格局部加密,加密区交接处引入五点元,网格加密部位可以有若干处。有限元网格全自动划分算法在CAD工作站上实现,用人机交互会话方式控制输入/输出操作,方便、灵活、高效,可做为前处理器与任何一个有限元分析程序系统相联接。本文所采用的方法和数据结构,可以推广到带孔洞的在意形状空间形体,实现对更广泛的三维结构的有限元网格全自动生成,
This paper describes the quadripartition method to automatically generate the finite element mesh. This method can be applied to any 2-dimensional structure with some holes, of any shape.Most elements of automatic generating are 4-node quadrilateral elements; the elements on the boundary are 3-node triangular elements. This method can also densify local finite element mesh, some elements in densified area are 5-node quadrilateral elements. The mesh of some areas can be densified together.The algorithm of finite element mesh automatic generatipn has been realized on CAD workstation. The input/output operation under the control of Man-Machine interactive mode is convenient, flexible and efficient. This system as a pre-processor can be linked with any finite element analysis program system.The method and data structure adopted by this paper can be popularized to any shape of 3-dimensional structure with holes, to realize 'finite element mesh automatic generation of 3-dimensional structure.
