Based on traditional structural vibration analysis

the effects of mean stress and its scatter have been introduced into the vibrational reliability model of structures by use of Goodman curve and the interference theory of stress and strength.Combined with other relative parameters' scatter

the vibrational reliability model has been established separately while considering mean stress to be deterministic and stochastic

and the corresponding formulations and procedures for reliability computation have been presented.Compared with Monte-Carlo simulation

the numerical results indicate that the model proposed in this paper is reasonable and feasible

meanwhile they also indicate that reliability decreased as the mean stress and/or its scatter increased.