TIME-DEPENDENT CORRELATION-FUNCTION OF LINEAR-SYSTEMS EXCITED BY SHOT-NOISE WITH DIFFERENT ARRIVAL RATES

The response of unsymmetric linear multi-degree-of-freedom systems und ergoing non-stationary random excitation is investigated via complex m odal theory, for the case when the random process, but not its amplitu de, is the same everywhere. In this paper shot noise with an arrival r ate equal to the sum of exponential functions of time is suggested. Th ree types of different arrival rate are given as special cases: (1) a combination of exponentially increasing and decreasing functions; (2) a decaying sine function; (3) a sine function. General explicit expres sions for the elements of the time-dependent correlation function matr ix are derived which can be used to simulate different real random pro cesses more accurately. Numerical examples are given and compared. (C) 1996 Academic Press Limited