The uncertainty of the interval variable is represented by interval factor, and the interval variable is described as its mean value multiplied by its interval factor. Based on interval arithmetic rules, an analytical method of interval finite element for uncertain structures but not probabilistic structure or fuzzy structure is presented by combining the interval analysis with finite element method. The static analysis of truss with interval parameters under interval load is studied and the expressions of structural interval displacement response and stress response are deduced. The influences of uncertainty of one of structural parameters or load on the displacement and stress of the structure are examined through examples and some significant conclusions are obtained.
Multidiscipline Modeling in Materials and Structures – Emerald Publishing
Published: Jan 1, 2005
Keywords: Truss with interval parameters; Interval factor method; Interval arithmetic; Static analysis; interval finite element
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