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## Analysis of reliability of stochastic truss structure based on full-probability

LUO Wei-ting,CHEN Jian-jun,ZHANG Chi-jiang,LIU De-ping,JIANG Pei-gang(School of Electronic Mechanical Engineering,Xidian University,Xi'an 710071,China)
The present paper aims to propose a new method for analyzing statics and reliability of the stochastic truss structural response under random loading based on the analysis of full-probability.As is known,it is necessary to take into full account all the stochastic factors of the structural physical parameters along with the geometrical dimensions and the stochastic loads applied on such structure in the study of the truss structural response analysis.The probability density function for the stochastic truss structural responses can only be obtained by determining the limits of integration as well as substitution of the variables,Then a precise reliability analysis for the displacement and stress has been done.In the end of the paper,two examples are to be illustrated to explain the present method.A comparison of its results gained by the new method with the results given by the Monte-Carlo method shows that the proposed method is of high accuracy and feasibility,regardless of the different distribution types.Therefore,it can be pointed out that:(1) when the physical parameters and the loading are all in normal random variables,the structural responses obtained by our method will be a normal variable too.However,if the physical parameters and the loading are not in normal random variables,the structural responses obtained shall never be any more normal again.In this case,the mean and the variance of the responses can not characterize the probability distribution for the responses,and we can not get accurate structural reliability by using the First Order Square method or Hasofer-Lind method or Rackwitz-Fiesser method.It is necessary to do more accurate calculation so as to get an accurate structural reliability.(2) Our method is only directed against reliability of a node or an element in the structure,therefore,the method based on full-probability for calculating the whole structure reliability is worth further study.
【Fund】： 陕西省自然基金项目(2002A14);; 国防预研基金项目(51421060505DZ0155)
【CateGory Index】： TU323.4;
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