三维有限元任意截面剖分和插值计算方法

Calculation method for meshing and interpolation on arbitrary cross-section of 3D finite elements

利用OpenGL,采用面向对象技术开发操作平台,通过人机交互式操作,将人为控制的粗线条子区域划分与映射法的精细自动剖分相结合,可实现有限元模型任意截面高质量高效率的网格映射法剖分.新生成的截面模型网格形态规则,可满足后处理的要求.提出了位移场插值方法和几种应力场插值方法,工程实例表明,可获得新生成截面模型精确的位移场和较为精确的应力场,使得有限元前后处理的进行不只基于一个模型,实现了前后处理对模型的独立操作,既方便了前处理的建模,也提高了后处理效率.

By using OpenGL and object-oriented designing technique, the operation platform could be developed. Combining manual control of dividing rough subdomains with automatic precise mesh generation by mapping mesh method, the arbitrary cross-section of the FEM model could be meshed by mapping mesh method with high quality and high efficiency. The newly generated model has regular mesh form which meets the needs of post-process. The displacement field interpolation method and several stress field interpolation methods are put forward. Tested by actual engineering practice, new model＇ s accurate displacement field and more accurate stress field could be obtained. Thus, the pre-process and post-process of FEM can be conducted on different models. This method makes the two processes independent each other; and it not only facilitates the modeling of pre-process but also improves the post-process of the FEM.