AN EXPANDED ORDER SYSTEM METHOD FOR THE DYNAMIC ANALYSIS OF STOCHASTIC STRUCTURES

By applying an orthogonal expansion technique in random space,a general formula for an expanded order system is established. This formula can be used for various multi-degreeoffreedom stochastic structural systems which possess random mass, damping and stiffness parameters. For the continuous random field, a two-step method is suggested to convert it into an expression of independent random variables.A subjunctive structure method is employed to form a basic matrix for the expanded order system.The proposed method is validated through an analysis of simulated data. Finally,the difference between the mean response of a stochastic system and the response of the corresponding "mean parameter System" is discussed.