New parameterized solution with application to bounding secondary variables in FE models of structures

Evgenija D. Popova

Applied Mathematics and Computation, 2020, vol. 378, issue C

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.

Keywords: Linear algebraic equations; Interval parameters; Solution set; Parameterized outer estimate; Secondary variables (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:378:y:2020:i:c:s0096300320301740

DOI: 10.1016/j.amc.2020.125205

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