Dynamical behavior of a mechanical system including Saint-Venant component coupled to a non-linear energy sink

Mathieu Weiss; Alireza Ture Savadkoohi; Oleg V. Gendelman; Claude Henri Lamarque

doi:10.1016/j.ijnonlinmec.2014.03.002

Dynamical behavior of a mechanical system including Saint-Venant component coupled to a non-linear energy sink

Mathieu Weiss, Alireza Ture Savadkoohi, Oleg V. Gendelman, Claude Henri Lamarque

Mechanical Engineering

Technion - Israel Institute of Technology

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

Abstract

Multi-scale vibratory energy exchange between a main oscillator including Saint-Venant term and a cubic non-linear energy sink is studied. Analytically obtained invariant manifold of the system at a fast time scale and detected fixed points and/or fold singularities at a first slow time scale let us predict and explain different regimes that the system may face during the energy exchange process. The paper will be accompanied by some numerical results confirming our analytical predictions.

Original language	English
Pages (from-to)	10-18
Number of pages	9
Journal	International Journal of Non-Linear Mechanics
Volume	63
DOIs	https://doi.org/10.1016/j.ijnonlinmec.2014.03.002
State	Published - Jul 2014

Keywords

Cubic
Energy exchange
NES
Non-linear
Saint-Venant

All Science Journal Classification (ASJC) codes

Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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10.1016/j.ijnonlinmec.2014.03.002

Cite this

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title = "Dynamical behavior of a mechanical system including Saint-Venant component coupled to a non-linear energy sink",

abstract = "Multi-scale vibratory energy exchange between a main oscillator including Saint-Venant term and a cubic non-linear energy sink is studied. Analytically obtained invariant manifold of the system at a fast time scale and detected fixed points and/or fold singularities at a first slow time scale let us predict and explain different regimes that the system may face during the energy exchange process. The paper will be accompanied by some numerical results confirming our analytical predictions.",

keywords = "Cubic, Energy exchange, NES, Non-linear, Saint-Venant",

author = "Mathieu Weiss and {Ture Savadkoohi}, Alireza and Gendelman, {Oleg V.} and Lamarque, {Claude Henri}",

note = "Funding Information: The authors would like to thank the “Minist{\`e}re de l{\textquoteright}{\'E}cologie, du D{\'e}veloppement Durable et de l{\textquoteright}{\'E}nergie” for supporting this research.",

year = "2014",

month = jul,

doi = "10.1016/j.ijnonlinmec.2014.03.002",

language = "الإنجليزيّة",

volume = "63",

pages = "10--18",

journal = "International Journal of Non-Linear Mechanics",

issn = "0020-7462",

publisher = "Elsevier Ltd.",

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TY - JOUR

T1 - Dynamical behavior of a mechanical system including Saint-Venant component coupled to a non-linear energy sink

AU - Weiss, Mathieu

AU - Ture Savadkoohi, Alireza

AU - Gendelman, Oleg V.

AU - Lamarque, Claude Henri

N1 - Funding Information: The authors would like to thank the “Ministère de l’Écologie, du Développement Durable et de l’Énergie” for supporting this research.

PY - 2014/7

Y1 - 2014/7

N2 - Multi-scale vibratory energy exchange between a main oscillator including Saint-Venant term and a cubic non-linear energy sink is studied. Analytically obtained invariant manifold of the system at a fast time scale and detected fixed points and/or fold singularities at a first slow time scale let us predict and explain different regimes that the system may face during the energy exchange process. The paper will be accompanied by some numerical results confirming our analytical predictions.

AB - Multi-scale vibratory energy exchange between a main oscillator including Saint-Venant term and a cubic non-linear energy sink is studied. Analytically obtained invariant manifold of the system at a fast time scale and detected fixed points and/or fold singularities at a first slow time scale let us predict and explain different regimes that the system may face during the energy exchange process. The paper will be accompanied by some numerical results confirming our analytical predictions.

KW - Cubic

KW - Energy exchange

KW - NES

KW - Non-linear

KW - Saint-Venant

UR - http://www.scopus.com/inward/record.url?scp=84898074775&partnerID=8YFLogxK

U2 - 10.1016/j.ijnonlinmec.2014.03.002

DO - 10.1016/j.ijnonlinmec.2014.03.002

M3 - مقالة

SN - 0020-7462

VL - 63

SP - 10

EP - 18

JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

ER -

Dynamical behavior of a mechanical system including Saint-Venant component coupled to a non-linear energy sink

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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