The Stochastic Finite Elements Method Of The Dynamic Analysis For The Structures With Random Parameters

With the emergence of new materials, the requirements of engineering control have graduallybeen improved, and Modern engineering structure analysis is also becoming more and morecomplicated. In recent years,in the fields of reliability analysis and fracture strength analysis,peoplehave been more interested in the influence of randomness. In the other words,people are more andmore urgently to introduce the randomness of engineering into the results analysis,grasp the laws andimprove the precision of the structure analysis.To this degree,the random structure dynamic analysisis becoming more and more important.To these kinds of questions,this paper has reviewed some properties of random fields and thecharacteristics of perturbation method,given the analysis of the discretizations of the random fieldsand the response of the dynamic analysis. This paper has focused on these parts：1、Briefly introduces the contents of the method of random fields’ discretizations,especially theproperties of Karhunen-Loeve expansion and local average.2、Introduce the method of mentocalo and perturbation which are often used in the dynamic responsesolving3、Analysis the reason for the long secular terms appearing in the perturbation method, and reduce theinfluence with adding a weighting function in the frequencies which gives a good numericalsimulation results.4、Give standard steps of Karhunen-Loeve expansion in the systems with infinite degrees offreedom,especially the two dimensions plates.Solve the response of the structure with Mentocalomethod.The results show that it’s more simple to use the K-L expansion to solve the problems withrandom fields.At last this paper shows the problems which can be solved in the future.