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Wave-like modelling of cascaded, lumped, flexible systems with an arbitrarily moving boundary
Author(s)
Date Issued
2011-06-20
Date Available
2011-04-04T08:45:59Z
Abstract
This paper considers cascaded, lumped, flexible systems, which may be short and non-uniform, which are driven by an arbitrarily moving boundary. Such systems exhibit vaguely wavelike behaviour yet defy classical wave analysis. The paper proposes novel ways to analyse and model such systems in terms of waves. It presents two new wave models for non-uniform systems, one series and one shunt, defining their component wave transfer functions, and thereby providing a way to define, identify and measure component waves. Features of the models are compared. The series and shunt configurations are mutually consistent and can be combined into a single composite wave model. The models are exact, but elements within them remain arbitrary to some degree, implying slight differences in the wave decomposition of the system. Some good model choices are proposed and explored. Wave speed and wave impedance are briefly considered, as are ways to measure component waves. Implications are discussed.
Sponsorship
Not applicable
Type of Material
Journal Article
Publisher
Elsevier
Journal
Journal of Sound and Vibration
Volume
330
Issue
13
Start Page
3070
End Page
3083
Copyright (Published Version)
2011 Published by Elsevier Ltd.
Subject – LCSH
System analysis
Wave mechanics
Damping (Mechanics)
Waves--Mathematical models
Web versions
Language
English
Status of Item
Peer reviewed
ISSN
0022-460X
This item is made available under a Creative Commons License
File(s)
No Thumbnail Available
Name
Waves lumped JSV Oct 10.docx
Size
482.95 KB
Format
Microsoft Word
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