Interval And Fuzzy Uncertainty Analysis Of Moving Loads Problems

Taking the non-probabilistic uncertainty of moving load as the background,the method of solving the moving load interval and fuzzy uncertainty is discussed,and the computational efficiency and calculation accuracy of the interval analysis and fuzzy analysis are improved.In the interval uncertainty analysis,when the parameter uncertainties are large,the optimization or Monte Carlo methods are generally used to obtain reliable results,but they all need a lot of analysis of the structure.For moving loads,the structural dynamics problems,a large number of structural analysis will result in extremely low computational efficiency.This paper presents an interval analysis method based on the Chebyshev agent model and differential evolution applied to the moving load problem of beam.Chebyshev agent model can effectively improve the computational efficiency of the moving load problems.Based on the agent model,the difference evolution technique is used to optimize the upper and lower bounds of the interval to avoid interval expansion and ensure the accuracy of interval analysis.Numerical examples show that the proposed method has good computational accuracy and can significantly improve the computational efficiency compared with direct optimization and Monte Carlo method.In fuzzy uncertainty analysis,the method of ? cut set is used to transform the fuzzy problem into interval problem,and the proposed interval analysis method based on Chebyshev and differential evolution is applied to fuzzy analysis,and a fuzzy analysis method based on Chebyshev and difference evolution is proposed.Then the method is applied to the fuzzy uncertainty analysis of the beam moving load problem.Numerical examples show that the proposed method has good computational accuracy and computational efficiency in fuzzy uncertainty analysis.