Dynamic characterization of noise and vibration transmission paths in linear cyclic systems (I) - Theory

Authors
Citation
Hj. Kim et Ym. Cho, Dynamic characterization of noise and vibration transmission paths in linear cyclic systems (I) - Theory, KSME INT J, 14(10), 2000, pp. 1051-1060
Citations number
17
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Mechanical Engineering
Journal title
KSME INTERNATIONAL JOURNAL
ISSN journal
1226-4865 → ACNP
Volume
14
Issue
10
Year of publication
2000
Pages
1051 - 1060
Database
ISI
SICI code
1226-4865(200010)14:10<1051:DCONAV>2.0.ZU;2-E
Abstract
Linear cyclic systems (LCS's) are a class of systems whose dynamic behavior changes cyclically. Such cyclic behavior is ubiquitous in systems with fun damentally repetitive motions (e. g. all rotating machinery). Yet, the know ledge of the noise and vibration transmission paths in LCS's is quite limit ed due to the time-varying nature of their dynamics. The first part of this two-part paper derives a generic expression that describes how the noise a nd/or vibration are transmitted between two (or multiple) locations in the LCS's. An analysis via the Fourier series and Fourier transform(FT) plays a major role in deriving this expression that turns out to be transfer funct ion dependent upon the cycle position of the system. The cyclic nature of t he LCS' transfer functions is shown to generate a series of amplitude modul ated input signals whose carrier frequencies are harmonic multiples of the LCS' fundamental frequency. Applicability of signal processing techniques u sed in the linear time-invariant systems (LTIS's to the general LCSs is als o discussed. Then, a criterion is proposed to determine how well a LCS can be approximated as a LTIS. In Part IT, experimental validation of the analy ses carried out in Part I is provided.