Computational Abstractions for Dynamic Nonlinear Analysis of Structures

从总体上看，拟议的工作将涉及开发、实施和评估用于非线性动力结构有限元分析的通用面向对象框架。该框架将由建模节点、元素、自由度、材质等的对象类集合组成。鉴于围绕非线性动态分析的特殊问题，这些类的设计将考虑到以下目标：在算法选择、实施和分发方面允许灵活性；非常适合并行实施；以及在关于模型开发、修改和可视化的交互环境中很好地发挥作用。为了实现这些目标，将使用几个关键组件：无坐标几何、求解方程组的迭代技术；以及逐个元素的实现策略。

From a general point of view, the proposed work will involve the development, implementation and evaluation of a general object- oriented framework for use in nonlinear dynamic structural finite element analysis. This framework will consist of sets of classes of objects modeling nodes, elements, degrees-of-freedom, materials and so on. In light of the special issues surrounding nonlinear dynamic analysis, the classes will be designed with the following goals in mind: to allow flexibility in algorithm selection, implementation, and distribution; to be well-suited for parallel implementation; and to function well in an interactive environment with respect to model development, modification and visualization. To achieve these goals, several key components will be used: coordinate-free geometry, iterative techniques for solving systems of equations; and an element-by- element implementation strategy.//