RIA: A Knowledge-Based Approach to Adaptive Finite Element Analysis

该研究启动项目（RIA）旨在开发一种高效、可靠、和用户独立的有限元分析方法，以帮助设计分析自动化的各种工程应用，并提供一个先进的分析环境。本研究的具体目的如下：基于波的传播和子结构的新概念，开发一种高效的、基于知识的全自动有限元网格生成器。将基于知识的网格生成器与简单高效的后验误差分析和自适应程序相结合。从效率和精度两方面评价综合有限元分析系统的性能特点。基于知识的自动有限元网格生成器将首先使用子结构的新概念来定位域中的关键区域，并为它们分配优先级和网格大小。这涉及到将原始结构分解为子结构，这些子结构可以使用解析解和启发式进行初始和近似分析。然后，它将使用波传播的新概念来生成渐变节点并形成形状良好的元素，使用一种新的更有效的算法。有几个潜在的回报：降低设计成本和周期时间，能够快速考虑更广泛的设计选择，提高产品质量和提高工程生产率。这项工作的成功完成将有助于美国工业在国际市场上的活力和竞争力。

This research initiation project (RIA) seeks to develop an efficient, reliable, and user- independent finite element analysis methodology to aid design analysis automation for various engineering applications and to provide an advanced analysis environment. The specific objectives of this research are as follows: To develop an efficient, knowledge- based and fully automatic finite element mesh generator based on new concepts of wave propagation and subsstructuring. To integrate the proposed knowledge-based mesh generator with simple and efficient a posteriori error analysis and adaptive procedures. To evaluate the performance characteristics of the integrated finite element analysis system in terms of its efficiency and accuracy. The automatic and knowledge-based finite element mesh generator will first use the new concept of substructuring to locate the critical regions in the domanin and to assign priority and mesh size to them. This involves the decomposition of the original structure into substructures for which an initial and approximate analysis can be performed by using analytical solutions and heuristics. It then will use the new concept of wave propagation to generate graded nodes and to form well-shaped elements, using a new and more efficient algorithm. There are several potential payoffs: reduced design cost and cycle time, the ability to rapidly consider a wider range of design alternatives, improved product quality and increased engineering productivity. Successful completion of this work will contribute to the vitality and competiveness of U.S. industry in the international marketplace.