The stochastic finite segment in the analysis of the shear-lag effect on box-girders

摘要

A stochastic variational principle(SVP)is presented in this paper. Based on the SVP, the stochastic finite segment method (SFSM)is developed for an applied to the analysis of shear-lag effect on a box-girder. The random property of physical and/or geometrical parameters is incorporated consistently into the total potential energy functional of the box-girder. Then the second- order perturbation techniques are employed to developed a set of expanded deterministic expressions of the functional. It is shown that the second-order functional is necessary and sufficient to derive all the governing equations.