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

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  • Popova, Evgenija D.

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.

Suggested Citation

  • Popova, Evgenija D., 2020. "New parameterized solution with application to bounding secondary variables in FE models of structures," Applied Mathematics and Computation, Elsevier, vol. 378(C).
    • Handle: RePEc:eee:apmaco:v:378:y:2020:i:c:s0096300320301740
    DOI: 10.1016/j.amc.2020.125205
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    References listed on IDEAS

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    1. Popova, Evgenija D., 2017. "Parameterized outer estimation of AE-solution sets to parametric interval linear systems," Applied Mathematics and Computation, Elsevier, vol. 311(C), pages 353-360.
    2. M.V. Rama Rao & Robert L. Mullen & Rafi L. Muhanna, 2011. "A new interval finite element formulation with the same accuracy in primary and derived variables," International Journal of Reliability and Safety, Inderscience Enterprises Ltd, vol. 5(3/4), pages 336-357.
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