Topology-Oriented Deformation of FE-Meshes in Iterative Reverse Engineering Processes

在某些情况下，必须在重复的逆向工程和有限元网格划分中投入相当大的精力。这是一种情况，例如，当物理部件的局部几何形状迭代变化时（例如，定位成型模具时），或者与类似拓扑结构的对象（例如，解剖对象），扫描必须一次又一次地重复，并且必须创建一个新的FEA模型。申请人当前项目（STE 1452-9-1）的目标是通过适应现有网格（例如，使用CAD模型创建）或基于扫描数据唯一创建的FEA网格来生成新的有限元计算模型，从而维护网格知识（约束，材料，元素类型等）。该项目能够验证工程方法的适用性，使这些新网格适应拓扑变化的几何形状。因此，我们可以绕过费时的逆向工程阶段，以及新的网格。在随后的方法（STE 1452-9-2）中，这些结果必须针对真实组件进行验证，并且必须考虑标准化接口。此外，以往的研究只考虑了表面元素。然而，以最小化能量的方式调整内部网格节点也很重要，这个过程将在稍后处理。项目活动还得到能够单独处理几何原语的模式识别程序的补充。

In some cases, considerable effort must be put into repeated Reverse Engineering and FEA meshing. This is the case, for instance, when the local geometry of physical components changes iteratively (for example when spotting forming dies) or with objects of similar topology, such as anatomical objects (for example medical objects), for which scanning has to be repeated again and again, and for which a new FEA model has to be created. The goal of the applicants current project (STE 1452-9-1) is to generate new FEA calculation models by adapting existing meshes (for instance, created using the CAD model) or uniquely created FEA meshes based on scan data, thereby maintaining meshing knowledge (constraints, material, element type, etc.). The project was able to verify the engineered methods suitability for adapting these new meshes to the topologically changed geometry. Thus, we can bypass the time-consuming phase of Reverse Engineering, as well as of new meshing.In a subsequent approach (STE 1452-9-2), these results must be validated for real components, and standardised interfaces have to be considered. In addition, previous studies have only taken surface elements into account. However, it is also important to adapt the inner mesh nodes in a way that minimises energy, this procedure will be treated later. Project activities are also complemented by a pattern recognition procedure able to handle geometric primitives separately.