Dynamic Respones Analysis For Structures With Random Parameters

Along with the science and technology development, the structure mechanical analysis theory and the method have consummated day by day.In particular large-scale, high-velocity electron computer widespread application, enable the people to have the possibility to carry on the dynamic analysis and the design to the complex engineering structure. In recent years, the people started not to satisfy the computed result which obtained arrives to the definite analysis, wears the strength to seek can describe the structure real work behavior new analysis method. This issue introduce random concept, research structure analysis stochastic method.This article in view of this question, and first reviews the stochastic process related knowledge. Introduced with the taylor series expansion solution stochastic structure dynamic response, is very easy to be allowed to obtain the structure characteristic value, moreover may avoid using the perturbation finite element method center to bump to a question. Hence exploring research works on 4 aspects have been done around the purpose:1. Summarizing random field discretization, the paper compares the merits and defects of three conventional discrete methods, then intruduce theories of spectrum decompesition.2.Introduce the stochastic finite element method,perturbation finite element method and Monte-Carlo simulating method. Compared each method with their advantages and disadvantages.3.Introduce the Tarloy expansion method in detail. According to often the differential theory knowledge, through directly Taylor expansion to the response, after has carried on a series of changes, is easy to obtain the average valueand the variance. The method has the operation to be simple, and convenient.4.Through the model calculated the example comparison perturbation, the taylor series expansion and MC simulating method, finally indicated: MC simulating method although can solve the big variation problem, when consumesis very big. Relative MC simulating method says, the taylor series expansion could save the massive computing time. perturbation finite element method solution stochastically when solution dynamic response, through the recursion solution method, can bump into a question. But directly toresponds the result perturbation finite element method to be able to avoid this question with the progression.In the end, the content of this paper has been summarized and some problems, which need further study, have been proposed.