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.
Juan, M., Jian‐jun, C., Jian‐guo, Z. and Tao, J. (2005), "Interval Factor Method for Interval Finite Element Analysis of Truss Structures", Multidiscipline Modeling in Materials and Structures, Vol. 1 No. 4, pp. 367-376. https://doi.org/10.1163/157361105774501674
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