tailieunhanh - Solutions about probabilistic characteristics of displacements in a stochastic truss

A conventional structure during bearing loads usually has cross-sectional areasoften changed, not always constant because of defectiveness or corrosiveness Moreover, in the process of working, the loads acting on structures themselves change. Therefore, this paper offers solutions of a truss mentioned the change of cross-sectional areas and loads are modeled as two types of random variables. From this model, we have proposed solutions to receive the exactly probabilistic characteristics of displacements and analyzed the effects of random parameters to expectations and variances of these displacements. | Dương Thế Hùng và Đtg Tạp chí KHOA HỌC & CÔNG NGHỆ 139(09): 41 - 46 SOLUTIONS ABOUT PROBABILISTIC CHARACTERISTICS OF DISPLACEMENTS IN A STOCHASTIC TRUSS Dương Thế Hùng1*, Trần Việt Thắng2, Trần Văn Sơn3 1 College of Technology - TNU, 2College of Economics and Technology - TNU 3 Thai Nguyen College of Electromechanics and Metallurgy SUMMARY A conventional structure during bearing loads usually has cross-sectional areasoften changed, not always constant because of defectiveness or corrosiveness Moreover, in the process of working, the loads acting on structures themselves change. Therefore, this paper offers solutions of a truss mentioned the change of cross-sectional areas and loads are modeled as two types of random variables. From this model, we have proposed solutions to receive the exactly probabilistic characteristics of displacements and analyzed the effects of random parameters to expectations and variances of these displacements. Keywords: stochastic, random, displacement, solution INTRODUCTION* Models in simulating real structures always play the impotant roles because models reflect the processes of their working. Random pattern is one of the models conformed to the most realistic structures. This paper will use a random model to calculate a truss subjected to stochastic loads. In reality, while parameters in each structure always consist of uncertain variables. Some authors [1,3,4,5] in their research go towards consider that at least exist one variable to be random. During bearing loads cross-sectional bar areas of a structure often changed, not always deteministic constant because of defectiveness or corrosiveness Moreover, in the process of working, the loads acting on structures themselves change. In this paper, we consider the cross-section areas and loads are random variables that take on positive values, and are representable as follows [1,3,4] S S 0 1 , Q Q0 1 3 RESULTS FOR A TWO -BAR TRUSS WITH STOCHASTIC CROSS .