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Theoretical approach for determination of normal modes of vibrating mechanical systems with discontinuous properties

SYSNO ASEP	0328795
Document Type	C - Proceedings Paper (int. conf.)
R&D Document Type	Conference Paper
Title	Theoretical approach for determination of normal modes of vibrating mechanical systems with discontinuous properties
Author(s)	Fedorchenko, Alexander I. (UT-L)_RID Stachiv, Ivo (FZU-D)_{RID, ORCID} Wang, A. B. (TW)
Source Title	Proceedings IRF' 2009. - Porto : Faculty of Engineering, University of Porto, 2009 / Gomes J.F.S. ; Meguid S.A. - ISBN 978-972-8826-21-5
Pages	s1503-po286
Number of pages	8 s.
Publication form	CD ROM - CD ROM
Action	International Conference on Integrity, Reliability and Failure /3./
Event date	20.07.2009-24.07.2009
VEvent location	Porto
Country	PT - Portugal
Event type	WRD
Language	eng - English
Country	PT - Portugal
Keywords	normal modes ; laplace transform ; resonance
Subject RIV	BI - Acoustics
R&D Projects	IAA200760801 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
CEZ	AV0Z20760514 - UT-L (2005-2011)
	AV0Z10100521 - FZU-D (2005-2011)
Annotation	In this paper a fundamental solution of the problem describing the longitudinal vibration of the rod with viscous damping has been found. A theoretical approach for the determination of normal modes of vibrating one-dimensional mechanical systems with 3-stepwise constant properties has been put forward. The transcendental equation has been derived from the solution in Laplace image space and its roots are natural frequencies. The equation relates thickness of layers and elastic moduli; it makes possible experimental measurement of thin film thickness and elastic moduli. The physical interpretation of the natural frequencies by introducing an “effective” speed of the wave propagation has been proposed.
Workplace	Institute of Thermomechanics
Contact	Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823
Year of Publishing	2010

Number of the records: 1