Method for static response interval of structures and engineering applications

[1] Qiu Z P. Comparison of static response of structures using convex models and interval analysis method[J]. International Journal for Numerical Methods in Engineering, 2003,56: 1735-1753 [2] Qiu Z P, Ma Y, Wang X J. Comparison between non-probabilistic interval analysis method and probabilistic approach in static response problem of structures with uncertain-but-bounded parameters[J]. Communications in Numerical Methods in Engineering, 2004, 20(4): 279-290 [3] McWilliams S. Anti-optimization of uncertain structures using interval analysis[J].Computers & Structures,2001, 79(4): 421-430 [4] Deif A. Advanced matrix theory for scientists and engineers[M]. England:Abacus Press,1991 [5] Koyluoglu H U, Cakmak A S, Nielsen A R K. Interval algebra to deal with pattern loading and structural uncertainties[J]. Journal of Engineering Mechanics, 1995, 121(11):1149-1157 [6] Qiu Z P, Wang X J, Chen J Y, Exact bounds for the static response set of structures with uncertain-but-bounded parameters[J].International Journal of Solids and Structures, 2006, 43:6574–6593 [7] Dong W, Shah H C. Vertex method for computing functions of fuzzy variables[J]. Fuzzy Sets and Systems,1987, 24:65-78