Analogy of a vortex-jet filament with the Kirchhoff elastic rod and its dynamical extension

研究成果: 著書/レポートタイプへの貢献会議での発言

抄録

Motion of a vortex filament with axial flow in the core, i.e. a vortex-jet filament, is governed, in the localized induction approximation, by the first two terms of the localized induction hierarchy. Permanent form of a steadily translating vortexjet filament is found to be identical with equilibrium form of a thin inextensible elastic rod of circular cross section, and, as a dynamical extension, traveling waves on an extensible rod is sought. We establish a variational principle for motion of an elastic rod with respect to material frames.

元の言語英語
ホスト出版物のタイトルIUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence - Proceedings of the IUTAM Symposium
ページ77-87
ページ数11
6
出版物ステータス出版済み - 2008
イベントIUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence - Moscow, ロシア連邦
継続期間: 8 25 20068 30 2006

出版物シリーズ

名前Solid Mechanics and its Applications
6
ISSN(印刷物)18753507

その他

その他IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence
ロシア連邦
Moscow
期間8/25/068/30/06

Fingerprint

filaments
Vortex flow
rods
vortices
Axial flow
induction
vortex filaments
axial flow
translating
variational principles
traveling waves
hierarchies
cross sections
approximation

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Automotive Engineering
  • Civil and Structural Engineering
  • Mechanical Engineering
  • Acoustics and Ultrasonics

これを引用

Fukumoto, Y. (2008). Analogy of a vortex-jet filament with the Kirchhoff elastic rod and its dynamical extension. : IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence - Proceedings of the IUTAM Symposium (巻 6, pp. 77-87). (Solid Mechanics and its Applications; 巻数 6).

Analogy of a vortex-jet filament with the Kirchhoff elastic rod and its dynamical extension. / Fukumoto, Yasuhide.

IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence - Proceedings of the IUTAM Symposium. 巻 6 2008. p. 77-87 (Solid Mechanics and its Applications; 巻 6).

研究成果: 著書/レポートタイプへの貢献会議での発言

Fukumoto, Y 2008, Analogy of a vortex-jet filament with the Kirchhoff elastic rod and its dynamical extension. : IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence - Proceedings of the IUTAM Symposium. 巻. 6, Solid Mechanics and its Applications, 巻. 6, pp. 77-87, IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence, Moscow, ロシア連邦, 8/25/06.
Fukumoto Y. Analogy of a vortex-jet filament with the Kirchhoff elastic rod and its dynamical extension. : IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence - Proceedings of the IUTAM Symposium. 巻 6. 2008. p. 77-87. (Solid Mechanics and its Applications).
Fukumoto, Yasuhide. / Analogy of a vortex-jet filament with the Kirchhoff elastic rod and its dynamical extension. IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence - Proceedings of the IUTAM Symposium. 巻 6 2008. pp. 77-87 (Solid Mechanics and its Applications).
@inproceedings{a86ada9caf9242edbfccce4f33a614aa,
title = "Analogy of a vortex-jet filament with the Kirchhoff elastic rod and its dynamical extension",
abstract = "Motion of a vortex filament with axial flow in the core, i.e. a vortex-jet filament, is governed, in the localized induction approximation, by the first two terms of the localized induction hierarchy. Permanent form of a steadily translating vortexjet filament is found to be identical with equilibrium form of a thin inextensible elastic rod of circular cross section, and, as a dynamical extension, traveling waves on an extensible rod is sought. We establish a variational principle for motion of an elastic rod with respect to material frames.",
author = "Yasuhide Fukumoto",
year = "2008",
language = "English",
isbn = "9781402067433",
volume = "6",
series = "Solid Mechanics and its Applications",
pages = "77--87",
booktitle = "IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence - Proceedings of the IUTAM Symposium",

}

TY - GEN

T1 - Analogy of a vortex-jet filament with the Kirchhoff elastic rod and its dynamical extension

AU - Fukumoto, Yasuhide

PY - 2008

Y1 - 2008

N2 - Motion of a vortex filament with axial flow in the core, i.e. a vortex-jet filament, is governed, in the localized induction approximation, by the first two terms of the localized induction hierarchy. Permanent form of a steadily translating vortexjet filament is found to be identical with equilibrium form of a thin inextensible elastic rod of circular cross section, and, as a dynamical extension, traveling waves on an extensible rod is sought. We establish a variational principle for motion of an elastic rod with respect to material frames.

AB - Motion of a vortex filament with axial flow in the core, i.e. a vortex-jet filament, is governed, in the localized induction approximation, by the first two terms of the localized induction hierarchy. Permanent form of a steadily translating vortexjet filament is found to be identical with equilibrium form of a thin inextensible elastic rod of circular cross section, and, as a dynamical extension, traveling waves on an extensible rod is sought. We establish a variational principle for motion of an elastic rod with respect to material frames.

UR - http://www.scopus.com/inward/record.url?scp=84861153022&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84861153022&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84861153022

SN - 9781402067433

VL - 6

T3 - Solid Mechanics and its Applications

SP - 77

EP - 87

BT - IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence - Proceedings of the IUTAM Symposium

ER -