A NEW STOCHASTIC-ANALYSIS FOR MULTIPLE SUPPORTED MDOF SECONDARY SYSTEMS .1. DYNAMIC INTERACTION EFFECTS

A new stochastic analysis is developed to estimate the response of mul tiply-supported multi-degree-of-freedom (MDOF) secondary systems to dy namic loading. In the proposed stochastic analysis, the effect of the dynamic interaction between the secondary and primary systems is inclu ded. An outline for the theoretical formulation of the proposed stocha stic analysis is presented. The dynamic interaction is shown to consis t of two effects: the effect of the interaction forces developed at th e attachment points, and the effect of the changes in the primary syst em properties as a result of the attachment of the secondary system. N umerical examples are provided to demonstrate the proposed analysis.