Novel interval model applied to derived variables in static and structural problems
College
Engineering and Computer Science
Department
Ocean and Mechanical Engineering
Document Type
Article
Publication/Event/Conference Title
Archive of Applied Mechanics
Publication Status
Version of Record
Abstract
In this work, we further develop a newly proposed interval algebraic approach for analysis or design of structures involving uncertain interval-valued parameters. The methodology is based on an algebraic extension of classical interval arithmetic, namely Kaucher arithmetic, and within it the interval equilibrium equations can be completely satisfied by the primary unknown variables (displacements). Here this method is expanded to derived (secondary) variables—forces, strains and stresses which are of particular practical interest in design and strength of materials. Numerical examples are presented to illustrate the proposed methodology and to compare the algebraic interval approach to that based on classical interval arithmetic.
First Page
869
Last Page
881
DOI
10.1007/s00419-019-01644-8
Publication Date
4-1-2020
Recommended Citation
Popova, Evgenija D. and Elishakoff, Isaac, "Novel interval model applied to derived variables in static and structural problems" (2020). Faculty Scholarship. 238.
https://digitalcommons.fau.edu/faculty_papers/238