dc.contributor.author |
Fedotov, IA
|
|
dc.contributor.author |
Polyanin, AD
|
|
dc.contributor.author |
Shatalov, M
|
|
dc.contributor.author |
Tenkama, EM
|
|
dc.date.accessioned |
2011-12-06T13:31:15Z |
|
dc.date.available |
2011-12-06T13:31:15Z |
|
dc.date.issued |
2010 |
|
dc.identifier.citation |
Fedotov, IA, Polyanin, AD et al. 2010. Longitudinal vibrations of a Rayleigh-Bishop rod. Doklady Physics, Vol 55(12), pp 609–614 |
en_US |
dc.identifier.issn |
1028-3358 |
|
dc.identifier.uri |
http://www.springerlink.com/content/r785347g81047h90/
|
|
dc.identifier.uri |
http://hdl.handle.net/10204/5368
|
|
dc.description |
Doklady Physics, 2010, Vol. 55(12) pp 609–614. Copyright: Pleiades Publishing Ltd. 2010. Original Russian Text Copyright: I.A. Fedotov, A.D. Polyanin, M.Yu. Shatalov, É.M. Tenkam, 2010, published in Doklady Akademii Nauk, 2010, Vol. 435(5) pp. 613–618. [ABSTRACT ONLY] |
en_US |
dc.description.abstract |
In this work, for analyzing the longitudinal vibrations of a conic rod, the authors used the Rayleigh–Bishop model, which generalizes the Rayleigh model and takes into account both lateral displacements and the shear stress in the transverse cross section. The rod vibrations are described by the linear partial differential equation with the variable coefficients containing the mixed fourth-order derivative. The free vibrations of cylindrical and conic rods are considered. It is shown that the classical model of longitudinal vibrations of the rod described by the second-order wave equation can substantially overestimate the frequencies of the rod free of vibrations in comparison with the Rayleigh–Bishop model. It should be noted that transverse vibrations of a rod described by a linear partial differential equation of the fourth order were considered in many works. |
en_US |
dc.language.iso |
en |
en_US |
dc.publisher |
Pleiades Publishing Ltd. |
en_US |
dc.relation.ispartofseries |
Workflow request;5836 |
|
dc.subject |
Rayleigh Bishop model |
en_US |
dc.subject |
Rayleigh model |
en_US |
dc.subject |
Conic rods |
en_US |
dc.subject |
Longitudinal vibrations |
en_US |
dc.title |
Longitudinal vibrations of a Rayleigh-Bishop rod |
en_US |
dc.type |
Article |
en_US |
dc.identifier.apacitation |
Fedotov, I., Polyanin, A., Shatalov, M., & Tenkama, E. (2010). Longitudinal vibrations of a Rayleigh-Bishop rod. http://hdl.handle.net/10204/5368 |
en_ZA |
dc.identifier.chicagocitation |
Fedotov, IA, AD Polyanin, M Shatalov, and EM Tenkama "Longitudinal vibrations of a Rayleigh-Bishop rod." (2010) http://hdl.handle.net/10204/5368 |
en_ZA |
dc.identifier.vancouvercitation |
Fedotov I, Polyanin A, Shatalov M, Tenkama E. Longitudinal vibrations of a Rayleigh-Bishop rod. 2010; http://hdl.handle.net/10204/5368. |
en_ZA |
dc.identifier.ris |
TY - Article
AU - Fedotov, IA
AU - Polyanin, AD
AU - Shatalov, M
AU - Tenkama, EM
AB - In this work, for analyzing the longitudinal vibrations of a conic rod, the authors used the Rayleigh–Bishop model, which generalizes the Rayleigh model and takes into account both lateral displacements and the shear stress in the transverse cross section. The rod vibrations are described by the linear partial differential equation with the variable coefficients containing the mixed fourth-order derivative. The free vibrations of cylindrical and conic rods are considered. It is shown that the classical model of longitudinal vibrations of the rod described by the second-order wave equation can substantially overestimate the frequencies of the rod free of vibrations in comparison with the Rayleigh–Bishop model. It should be noted that transverse vibrations of a rod described by a linear partial differential equation of the fourth order were considered in many works.
DA - 2010
DB - ResearchSpace
DP - CSIR
KW - Rayleigh Bishop model
KW - Rayleigh model
KW - Conic rods
KW - Longitudinal vibrations
LK - https://researchspace.csir.co.za
PY - 2010
SM - 1028-3358
T1 - Longitudinal vibrations of a Rayleigh-Bishop rod
TI - Longitudinal vibrations of a Rayleigh-Bishop rod
UR - http://hdl.handle.net/10204/5368
ER -
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en_ZA |