Passive transient wave confinement due to nonlinear joints in coupled flexible systems

T. A. Nayfeh, A. F. Vakakis

Research output: Contribution to journalArticle

Abstract

We numerically study transient wave propagation in linear flexible waveguides coupled by means of nonlinear backlash joints. No structural disorder is assumed to exist in the repetitive systems under consideration. Early-time spatial confinement of the wave motion due to the backlashes is detected for certain values of the systems' parameters. A discussion of the causes of this nonlinear wave localization is given. A transient confinement indicator is established and employed for the design optimization of the backlash joints for optimum energy confinement in the directly forced subsystem. The optimization study reveals that strong passive motion confinement can occur, even when strong coupling between subsystems exists, complementing previous studies in the literature where nonlinear localization due to weak subsystem coupling was investigated. The present results have applicability to designs of joints for practical large-scale repetitive space structures.

Original languageEnglish (US)
Pages (from-to)333-354
Number of pages22
JournalNonlinear Dynamics
Volume25
Issue number4
DOIs
StatePublished - Aug 2001
Externally publishedYes

Fingerprint

Subsystem
Wave propagation
Waveguides
Motion
Nonlinear Waves
Strong Coupling
Wave Propagation
Waveguide
Disorder
Optimization
Energy
Design optimization
Design

Keywords

  • Large-scale flexible periodic systems
  • Nonlinear localization

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Computational Mechanics

Cite this

Passive transient wave confinement due to nonlinear joints in coupled flexible systems. / Nayfeh, T. A.; Vakakis, A. F.

In: Nonlinear Dynamics, Vol. 25, No. 4, 08.2001, p. 333-354.

Research output: Contribution to journalArticle

Nayfeh, T. A. ; Vakakis, A. F. / Passive transient wave confinement due to nonlinear joints in coupled flexible systems. In: Nonlinear Dynamics. 2001 ; Vol. 25, No. 4. pp. 333-354.
@article{d65de5f8d6c84a918effad80b78dc744,
title = "Passive transient wave confinement due to nonlinear joints in coupled flexible systems",
abstract = "We numerically study transient wave propagation in linear flexible waveguides coupled by means of nonlinear backlash joints. No structural disorder is assumed to exist in the repetitive systems under consideration. Early-time spatial confinement of the wave motion due to the backlashes is detected for certain values of the systems' parameters. A discussion of the causes of this nonlinear wave localization is given. A transient confinement indicator is established and employed for the design optimization of the backlash joints for optimum energy confinement in the directly forced subsystem. The optimization study reveals that strong passive motion confinement can occur, even when strong coupling between subsystems exists, complementing previous studies in the literature where nonlinear localization due to weak subsystem coupling was investigated. The present results have applicability to designs of joints for practical large-scale repetitive space structures.",
keywords = "Large-scale flexible periodic systems, Nonlinear localization",
author = "Nayfeh, {T. A.} and Vakakis, {A. F.}",
year = "2001",
month = "8",
doi = "10.1023/A:1012954707943",
language = "English (US)",
volume = "25",
pages = "333--354",
journal = "Nonlinear Dynamics",
issn = "0924-090X",
publisher = "Springer Netherlands",
number = "4",

}

TY - JOUR

T1 - Passive transient wave confinement due to nonlinear joints in coupled flexible systems

AU - Nayfeh, T. A.

AU - Vakakis, A. F.

PY - 2001/8

Y1 - 2001/8

N2 - We numerically study transient wave propagation in linear flexible waveguides coupled by means of nonlinear backlash joints. No structural disorder is assumed to exist in the repetitive systems under consideration. Early-time spatial confinement of the wave motion due to the backlashes is detected for certain values of the systems' parameters. A discussion of the causes of this nonlinear wave localization is given. A transient confinement indicator is established and employed for the design optimization of the backlash joints for optimum energy confinement in the directly forced subsystem. The optimization study reveals that strong passive motion confinement can occur, even when strong coupling between subsystems exists, complementing previous studies in the literature where nonlinear localization due to weak subsystem coupling was investigated. The present results have applicability to designs of joints for practical large-scale repetitive space structures.

AB - We numerically study transient wave propagation in linear flexible waveguides coupled by means of nonlinear backlash joints. No structural disorder is assumed to exist in the repetitive systems under consideration. Early-time spatial confinement of the wave motion due to the backlashes is detected for certain values of the systems' parameters. A discussion of the causes of this nonlinear wave localization is given. A transient confinement indicator is established and employed for the design optimization of the backlash joints for optimum energy confinement in the directly forced subsystem. The optimization study reveals that strong passive motion confinement can occur, even when strong coupling between subsystems exists, complementing previous studies in the literature where nonlinear localization due to weak subsystem coupling was investigated. The present results have applicability to designs of joints for practical large-scale repetitive space structures.

KW - Large-scale flexible periodic systems

KW - Nonlinear localization

UR - http://www.scopus.com/inward/record.url?scp=0035435334&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035435334&partnerID=8YFLogxK

U2 - 10.1023/A:1012954707943

DO - 10.1023/A:1012954707943

M3 - Article

AN - SCOPUS:0035435334

VL - 25

SP - 333

EP - 354

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

SN - 0924-090X

IS - 4

ER -