面向整机的装配模型层次化等几何分析与形状灵敏度解析计算

The target of the presented project is to construct hierarchical isogeometric analysis(IGA) and analytical shape sensitivity calculation method of assembly models for the whole machine simulation. The isogeometric BEM model of a part is generated directly using its B-Rep, and the field continuity is maintained by degree-of-freedom coupling along intersection curves of intersected surfaces. Using the CAD assembly model, the analysis model of the whole machine is generated directly by the joint coupling; the assembly tree based hierarchical substructure method for the whole machine is also presented, and the calculation scale of the whole machine analysis is reduced correspondingly. The analytical shape sensitivity calculation method for CAD part models and the hierarchical analytical shape sensitivity calculation method for CAD assembly models are presented, which can be used to calculate the shape sensitivity of the whole machine efficiently. The characteristics are: (1)direct generation of isogeometric model for a part using its B-Rep, and field continuity along intersection curves is maintained; (2)direct generation of hierarchical isogeometric model for a CAD assembly using its assembly structure; (3)analytical calculation of shape sensitivity based on isogeometric method. The research results will enable isogeometric analysis and shape sensitivity calculation to be used for the whole machine of a product, thereby deepen CAD/CAE integration, and push forward the application of IGA, shape sensitivity analysis and optimization in product design.

项目目标是建立面向整机的装配模型层次化等几何分析与形状灵敏度解析计算方法。项目利用零件的边界表示(B-Rep)直接生成零件等几何边界元模型，并通过曲面片在交线处的自由度耦合保持了零件物理场在交线处的连续。利用整机的CAD装配模型通过结合部耦合直接生成整机分析模型；并提出了基于装配树的整机模型层次化子结构方法，缩减了整机分析的计算规模。提出了针对CAD模型的零件形状灵敏度解析计算和装配体形状灵敏度分层解析计算方法，能用来高效地对整机模型进行灵敏度计算。项目特色为：(1)从零件B-Rep模型直接生成等几何分析模型，且物理场在面片交线处连续；(2)由装配结构直接生成装配模型的层次化等几何分析模型；(3)基于等几何方法的灵敏度解析计算。研究成果将使等几何分析和形状灵敏度计算能针对产品整机进行，从而深化CAD/CAE集成，推动等几何方法、灵敏度分析与优化技术的工程应用。

项目目标是建立面向整机包括装配模型在内的复杂CAD模型层次化等几何分析与形状灵敏度解析计算方法。利用零件的边界表示(B-Rep)直接生成零件等几何分析模型，并通过曲面片在交线处的自由度耦合保持了零件物理场在交线处的连续。利用整机的CAD模型通过结合部耦合直接生成分析模型；并利用子结构方法，缩减了分析的计算规模。提出针对复杂CAD模型的形状灵敏度解析计算方法，能用来高效地对进行灵敏度计算。项目特色为：(1)从零件B-Rep模型直接生成等几何分析模型，且物理场在面片交线处连续；(2)由CSG结构直接生成层次化等几何分析模型；(3)基于等几何方法的灵敏度解析计算。研究成果将使等几何分析和形状灵敏度计算能针对产品整机进行，从而深化CAD/CAE集成，推动等几何方法、灵敏度分析与优化技术的工程应用。