Abstract In this work we propose a new kind of parameterized outer estimate of the united solution set to an interval parametric linear system. The new method has several advantages compared to the methods obtaining parameterized solutions considered so far. Some properties of the new parameterized solution, compared to the parameterized solution considered so far, and a new application direction are presented and demonstrated by numerical examples. The new parameterized solution is a basis of a new approach for obtaining sharp bounds for derived quantities (e.g., forces or stresses) which are functions of the displacements (primary variables) in interval finite element models (IFEM) of mechanical structures.

中文翻译：

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新的参数化解决方案，适用于结构有限元模型中的次要变量边界

摘要 在这项工作中，我们提出了一种对区间参数线性系统的联合解集的新型参数化外估计。与目前考虑的获得参数化解的方法相比，新方法有几个优点。与目前考虑的参数化解决方案相比，新参数化解决方案的一些性质以及一个新的应用方向被提出并通过数值例子证明。新的参数化解决方案是获得派生量（例如力或应力）的锐界的新方法的基础，这些派生量是机械结构的间隔有限元模型 (IFEM) 中位移（主要变量）的函数。