The dynamics of Stretchable rods in the inertial case

Stéphane Lafortune; Alain Goriely; Michael Tabor

doi:10.1007/s11071-006-0759-5

The dynamics of Stretchable rods in the inertial case

Stéphane Lafortune
, Alain Goriely
, Michael Tabor

Applied Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

Nonlinear amplitude equations for the near-threshold behavior of twisted extensible elastic rods under tension with inertial and dissipative dynamics are derived. In the inertial case localized solutions to the amplitude equations are derived and a linear stability criterion for the pulse solutions is obtained using the Hamiltonian formulation of the problem.

Original language	English (US)
Pages (from-to)	173-195
Number of pages	23
Journal	Nonlinear Dynamics
Volume	43
Issue number	1-2
DOIs	https://doi.org/10.1007/s11071-006-0759-5
State	Published - Jan 2006

Keywords

Elastic rods
Hamiltonian structure
Linear stability
Nonlinear analysis
Orbital stability

ASJC Scopus subject areas

Control and Systems Engineering
Aerospace Engineering
Ocean Engineering
Mechanical Engineering
Electrical and Electronic Engineering
Applied Mathematics

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10.1007/s11071-006-0759-5

Cite this

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title = "The dynamics of Stretchable rods in the inertial case",

abstract = "Nonlinear amplitude equations for the near-threshold behavior of twisted extensible elastic rods under tension with inertial and dissipative dynamics are derived. In the inertial case localized solutions to the amplitude equations are derived and a linear stability criterion for the pulse solutions is obtained using the Hamiltonian formulation of the problem.",

keywords = "Elastic rods, Hamiltonian structure, Linear stability, Nonlinear analysis, Orbital stability",

author = "St{\'e}phane Lafortune and Alain Goriely and Michael Tabor",

note = "Funding Information: This work is supported by NSF grant DMS-0307427 (A.G. and M.T.).",

year = "2006",

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doi = "10.1007/s11071-006-0759-5",

language = "English (US)",

volume = "43",

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journal = "Nonlinear Dynamics",

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T1 - The dynamics of Stretchable rods in the inertial case

AU - Lafortune, Stéphane

AU - Goriely, Alain

AU - Tabor, Michael

N1 - Funding Information: This work is supported by NSF grant DMS-0307427 (A.G. and M.T.).

PY - 2006/1

Y1 - 2006/1

N2 - Nonlinear amplitude equations for the near-threshold behavior of twisted extensible elastic rods under tension with inertial and dissipative dynamics are derived. In the inertial case localized solutions to the amplitude equations are derived and a linear stability criterion for the pulse solutions is obtained using the Hamiltonian formulation of the problem.

AB - Nonlinear amplitude equations for the near-threshold behavior of twisted extensible elastic rods under tension with inertial and dissipative dynamics are derived. In the inertial case localized solutions to the amplitude equations are derived and a linear stability criterion for the pulse solutions is obtained using the Hamiltonian formulation of the problem.

KW - Elastic rods

KW - Hamiltonian structure

KW - Linear stability

KW - Nonlinear analysis

KW - Orbital stability

UR - https://www.scopus.com/pages/publications/31444447274

UR - https://www.scopus.com/pages/publications/31444447274#tab=citedBy

U2 - 10.1007/s11071-006-0759-5

DO - 10.1007/s11071-006-0759-5

M3 - Article

SN - 0924-090X

VL - 43

SP - 173

EP - 195

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

IS - 1-2

ER -

The dynamics of Stretchable rods in the inertial case

Abstract

Keywords

ASJC Scopus subject areas

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