TIME DEPENDENT CORRELATION FUNCTION OF LINEAR SYSTEMS EXCITED BY SHOT NOISE WITH DIFFERENT ARRIVAL RATES
✍ Scribed by Z.-C. Zheng; X. Lin; F.W. Williams
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 236 KB
- Volume
- 198
- Category
- Article
- ISSN
- 0022-460X
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✦ Synopsis
The response of unsymmetric linear multi-degree-of-freedom systems undergoing non-stationary random excitation is investigated via complex modal theory, for the case when the random process, but not its amplitude, is the same everywhere. In this paper shot noise with an arrival rate equal to the sum of exponential functions of time is suggested. Three 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 expressions for the elements of the time-dependent correlation function matrix are derived which can be used to simulate different real random processes more accurately. Numerical examples are given and compared.