dc.contributor.author |
Shatalov, M
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dc.contributor.author |
Fedotov, I
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dc.contributor.author |
Tenkam, HM
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dc.contributor.author |
Marais, J
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dc.date.accessioned |
2009-10-07T08:02:54Z |
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dc.date.available |
2009-10-07T08:02:54Z |
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dc.date.issued |
2009-07 |
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dc.identifier.citation |
Shatalov, M, Fedotov, I, Tenkam, HM and Marais, J. 2009. Comparison of classical and modern theories of longitudinal wave propagation in elastic rods. 16th International Congress on Sound and Vibration. Krakow, Poland, 5-9 July, 2009. pp 1-8 |
en |
dc.identifier.isbn |
9788360716717 |
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dc.identifier.uri |
http://hdl.handle.net/10204/3629
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dc.description |
16th International Congress on Sound and Vibration. Krakow, Poland, 5-9 July 2009 |
en |
dc.description.abstract |
A unified approach to derivation of different families of differential equations describing the longitudinal vibration of elastic rods and based on the Hamilton variational principle is outlined. The simplest model of longitudinal vibration of the rods does not take into consideration its lateral motion and is described in terms of the wave equation. The more elaborated models were proposed by Rayleigh, Love, Bishop, Mindlin-Herrmann, and multimode models in which the lateral effect plays an important role. Dispersion curves, representing the eigenvalues versus wave numbers, of these models are compared with the exact dispersion curves of isotropic cylinder and conclusions on accuracy of the models are deduced. The Green functions are constructed for the classical, Rayleigh, Bishop, and Mindlin-Herrmann models in which the general solutions of the problem are obtained. The principles of construction of the multimode theories, corresponding equations and orthogonality conditions are considered. |
en |
dc.language.iso |
en |
en |
dc.subject |
Classical theory |
en |
dc.subject |
Rayleigh-Love theory |
en |
dc.subject |
Longitudinal wave propagation |
en |
dc.subject |
Elastic rods |
en |
dc.subject |
Hamilton variational principal |
en |
dc.subject |
Rayleigh-Bishop theory |
en |
dc.subject |
Mindlin-Herrmann theory |
en |
dc.subject |
Multimode theories |
en |
dc.subject |
16th International congress on sound and vibration |
en |
dc.subject |
Multimode theories |
en |
dc.subject |
Orthogonality conditions |
en |
dc.title |
Comparison of classical and modern theories of longitudinal wave propagation in elastic rods |
en |
dc.type |
Conference Presentation |
en |
dc.identifier.apacitation |
Shatalov, M., Fedotov, I., Tenkam, H., & Marais, J. (2009). Comparison of classical and modern theories of longitudinal wave propagation in elastic rods. http://hdl.handle.net/10204/3629 |
en_ZA |
dc.identifier.chicagocitation |
Shatalov, M, I Fedotov, HM Tenkam, and J Marais. "Comparison of classical and modern theories of longitudinal wave propagation in elastic rods." (2009): http://hdl.handle.net/10204/3629 |
en_ZA |
dc.identifier.vancouvercitation |
Shatalov M, Fedotov I, Tenkam H, Marais J, Comparison of classical and modern theories of longitudinal wave propagation in elastic rods; 2009. http://hdl.handle.net/10204/3629 . |
en_ZA |
dc.identifier.ris |
TY - Conference Presentation
AU - Shatalov, M
AU - Fedotov, I
AU - Tenkam, HM
AU - Marais, J
AB - A unified approach to derivation of different families of differential equations describing the longitudinal vibration of elastic rods and based on the Hamilton variational principle is outlined. The simplest model of longitudinal vibration of the rods does not take into consideration its lateral motion and is described in terms of the wave equation. The more elaborated models were proposed by Rayleigh, Love, Bishop, Mindlin-Herrmann, and multimode models in which the lateral effect plays an important role. Dispersion curves, representing the eigenvalues versus wave numbers, of these models are compared with the exact dispersion curves of isotropic cylinder and conclusions on accuracy of the models are deduced. The Green functions are constructed for the classical, Rayleigh, Bishop, and Mindlin-Herrmann models in which the general solutions of the problem are obtained. The principles of construction of the multimode theories, corresponding equations and orthogonality conditions are considered.
DA - 2009-07
DB - ResearchSpace
DP - CSIR
KW - Classical theory
KW - Rayleigh-Love theory
KW - Longitudinal wave propagation
KW - Elastic rods
KW - Hamilton variational principal
KW - Rayleigh-Bishop theory
KW - Mindlin-Herrmann theory
KW - Multimode theories
KW - 16th International congress on sound and vibration
KW - Multimode theories
KW - Orthogonality conditions
LK - https://researchspace.csir.co.za
PY - 2009
SM - 9788360716717
T1 - Comparison of classical and modern theories of longitudinal wave propagation in elastic rods
TI - Comparison of classical and modern theories of longitudinal wave propagation in elastic rods
UR - http://hdl.handle.net/10204/3629
ER -
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en_ZA |