基于原始曲面信息的变形网格的曲面重构

Surface Reconstruction for Deformed Mesh Based on Original Surface Information

为了对有限元分析后的模型进行干涉检查和再分析,需对变形后的网格重建实体模型。基于原始曲面的信息,对变形后的网格进行区域分割,针对分割后的每个特征区域,分别对二次曲面和B-样条曲面采用了不同的重构方法。对于二次曲面,提出了一种基于等参数线的二次曲面参数提取的方法;对于B-样条曲面,给出了一种误差控制的B-样条曲面拟合的多步迭代方法。基于原始模型的拓扑结构,对重构后的曲面进行裁剪缝合得到变形后的实体模型。由于利用了原始曲面信息,使得曲面重构得以简化。实验表明,基于原始曲面信息的曲面重构方法可以快速有效地重构出任意复杂拓扑结构的变形后的曲面。

In order to perform interterence check and re--analysis for the deformed model after FEA, the solid model has to be reconstructed from the deformed mesh. Based on the information of the original surface, the deformed mesh was segmented into different feature regions. For each feature region, different method was applied for quadratic surfaces and B--spline surfaces separately. For quadratic surfaces, a method of parameter recognition was introduced based on the iso -- parameter line. For B--spline surfaces, an iterative method of surface reconstruction in given tolerance was presented. Based on the topology of the original model, the fitted surfaces were trimmed and sewed into a solid model. As the application of the original surface information, it simplifies the process of surface reconstruction. Results show that this method can quickly and efficiently reconstruct the deformed mesh with arbitrary complex topology.