Abstract
A systematic analysis of the dynamic response of linear continuous structures to randomly arriving impulses is presented. A counting (or point) process characterizing the considered stream of impulses is described by the product density functions of degree one and two. By making use of a normal mode approach and assuming specific forms for the product densities (characterizing the expected arrival rate of the impulses and their correlation) the formulae for the variances and cross-covariances of modal responses are derived. The variance of the plate response is obtained and discussed for different practical situations and the results are shown graphically.
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