Stochastic responses of a shell of rotational symmetry having physically nonlinear behavior

Concrete is considered as an elastic body when subjected to compressive stress but as a brittle body when subjected to tensile stress. That is, after the elastic extremum it cannot continue to bear the stress. Based on this cracked physical model, for stochastic external wind loads, nonlinear stochastic constitutive equations have been established. To solve equations of nonlinear stochastic vibration, an iterative statistic linearization method (ISLM) has been developed. Some statistic characteristics were found out.