Research On Engineering Structure Uncertainty Interval Analysis Method And Its Application

Accustomed structural analysis models are based on certain physical ideas. That is to say: all kinds of physical factors are considered as certain datum in the process of analysis. But plenty of uncertain factors exist in factual engineering structural analysis. If the uncertain factors are considered as certain information, the inconsistent or unreasonable results will be received. Stochastic analysis method and fuzzy analysis method are widely used in uncertainty analysis of engineering structures. Recently, interval analysis method is gradually known and becomes a new uncertainty analysis method. Interval analysis method is mainly used for engineering structures with interval properties. Interval analysis method shows its merits when the statistical information is not available for the parameters' probability distributions or related functions but the intervals of the parameters can be known. In this paper, the hotspots and difficulties of interval analysis method are discussed and the results are applied to engineering practices. The contents are as follows:1) Interval analysis method and its applications in engineering structure uncertainty analysis are overviewed in this paper. The applications are summarized into four parts, that is, interval finite element analysis in uncertainty of engineering structures; the probability based on interval analysis; interval inverse analysis method of engineering structures; structural optimum design based on interval parameters. The research results and recent advances in these subjects are analyzed appraised. And the existing problems and future trends in these fields are discussed.2) The interval-truncation approach and interval operation orders approach are given for interval expansion. Further, the sub-interval perturbation approach is putted forward and the convergence property of the method is explained. Interval perturbation finite element method and monotony-combination interval finite element method and otherwise methods are analyzed. The Monte-Carlo interval finite element method and sub-interval parameter perturbation finite element method based on elements are putted forward and the approximate formulae of the sub-interval numbers for relatively accurate interval are given. The interval finite element analysis method is extended from one-dimension truss member and beam structure to two-dimension plane structure.3) Genetic algorithm has powerful capability of global search and lower capability of local search, however, simulated annealing algorithm has powerful capability of local search and lower capability of global search. One genetic and simulated annealing algorithm is given...