Abstract The recent transformation in the aeronautical industry gives new prospects in the field of product geometry assurance. These include, in particular the creation of sophisticated virtual models, or digital twins, which can reflect the as-built geometry of physical products and optimize the assembly operations consequently. One of the current obstacles to the implementation of such digital twins is linked to the difficult transition from a conceptual model to a usable virtual representation. In this article, we present the hybrid representation of a product which is capable of integrating the different states of the components at each step of the assembly process. We propose a method to update the virtual representation of already assembled components, in order to include the position and orientation deviations of their surfaces. The B-Rep model of each component is updated from data acquired during the assembly of the product. The various steps of this update, and its associated tools are discussed in the article. Based on the knowledge of the as-built component geometry, the geometry of the yet-to-be-assembled components is adapted so that the final product complies with the functional requirements. To this end, we also discuss a formalism to model the product's functional information and to translate it at a geometrical level thanks to an assembly skeleton.

中文翻译：

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一种基于数字孪生的方法，用于管理装配过程中的几何偏差

摘要 近期航空工业的转型为产品几何形状保证领域提供了新的前景。其中特别包括创建复杂的虚拟模型或数字孪生模型，它们可以反映物理产品的竣工几何形状并因此优化装配操作。当前实施此类数字孪生模型的障碍之一与从概念模型到可用虚拟表示的困难过渡有关。在本文中，我们展示了一种产品的混合表示，该产品能够在装配过程的每个步骤中集成组件的不同状态。我们提出了一种更新已组装组件的虚拟表示的方法，以包括其表面的位置和方向偏差。每个组件的 B-Rep 模型都根据产品组装期间获取的数据进行更新。文章中讨论了此更新的各个步骤及其相关工具。基于竣工部件几何形状的知识，调整未组装部件的几何形状，以便最终产品符合功能要求。为此，我们还讨论了一种形式主义，以对产品的功能信息进行建模，并借助装配骨架在几何级别对其进行转换。调整未组装部件的几何形状，使最终产品符合功能要求。为此，我们还讨论了一种形式主义，以对产品的功能信息进行建模，并借助装配骨架在几何级别对其进行转换。调整未组装部件的几何形状，使最终产品符合功能要求。为此，我们还讨论了一种形式主义，以对产品的功能信息进行建模，并借助装配骨架在几何级别对其进行转换。