Forced vibration of a beam system with autoparametric coupling effects

J. W. Roberts, M. P. Cartmell

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

Small non-linear interactions of the type referred to as autoparametric may have a considerable effect on the pattern of forced vibration response of certain categories of structures exhibiting low damping characteristics. Under conditions of internal resonance these may bring about a complete neutralisation of the normal forced vibration resonance curve with a transfer of energy to an indirectly excited mode. The paper examines non-linear interactions between a pair of beam modes in forced vibration of a simple structure. Steady state solutions are obtained for the non-linear system equations. Measurements of vibratory acceleration and strain on a laboratory model are shown to give good confirmation of the analytical results and show clearly the substantial effects of internal resonance.
Original languageEnglish
Pages (from-to)123-131
Number of pages9
JournalStrain
Volume20
Issue number3
DOIs
Publication statusPublished - 1984

Fingerprint

Vibrations (mechanical)
Nonlinear systems
Damping

Cite this

@article{7a7d8edfbb984b30a6953ba6ff7163d5,
title = "Forced vibration of a beam system with autoparametric coupling effects",
abstract = "Small non-linear interactions of the type referred to as autoparametric may have a considerable effect on the pattern of forced vibration response of certain categories of structures exhibiting low damping characteristics. Under conditions of internal resonance these may bring about a complete neutralisation of the normal forced vibration resonance curve with a transfer of energy to an indirectly excited mode. The paper examines non-linear interactions between a pair of beam modes in forced vibration of a simple structure. Steady state solutions are obtained for the non-linear system equations. Measurements of vibratory acceleration and strain on a laboratory model are shown to give good confirmation of the analytical results and show clearly the substantial effects of internal resonance.",
author = "Roberts, {J. W.} and Cartmell, {M. P.}",
year = "1984",
doi = "10.1111/j.1475-1305.1984.tb00542.x",
language = "English",
volume = "20",
pages = "123--131",
journal = "Strain",
issn = "0039-2103",
number = "3",

}

Forced vibration of a beam system with autoparametric coupling effects. / Roberts, J. W.; Cartmell, M. P.

In: Strain, Vol. 20, No. 3, 1984, p. 123-131.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Forced vibration of a beam system with autoparametric coupling effects

AU - Roberts, J. W.

AU - Cartmell, M. P.

PY - 1984

Y1 - 1984

N2 - Small non-linear interactions of the type referred to as autoparametric may have a considerable effect on the pattern of forced vibration response of certain categories of structures exhibiting low damping characteristics. Under conditions of internal resonance these may bring about a complete neutralisation of the normal forced vibration resonance curve with a transfer of energy to an indirectly excited mode. The paper examines non-linear interactions between a pair of beam modes in forced vibration of a simple structure. Steady state solutions are obtained for the non-linear system equations. Measurements of vibratory acceleration and strain on a laboratory model are shown to give good confirmation of the analytical results and show clearly the substantial effects of internal resonance.

AB - Small non-linear interactions of the type referred to as autoparametric may have a considerable effect on the pattern of forced vibration response of certain categories of structures exhibiting low damping characteristics. Under conditions of internal resonance these may bring about a complete neutralisation of the normal forced vibration resonance curve with a transfer of energy to an indirectly excited mode. The paper examines non-linear interactions between a pair of beam modes in forced vibration of a simple structure. Steady state solutions are obtained for the non-linear system equations. Measurements of vibratory acceleration and strain on a laboratory model are shown to give good confirmation of the analytical results and show clearly the substantial effects of internal resonance.

U2 - 10.1111/j.1475-1305.1984.tb00542.x

DO - 10.1111/j.1475-1305.1984.tb00542.x

M3 - Article

VL - 20

SP - 123

EP - 131

JO - Strain

JF - Strain

SN - 0039-2103

IS - 3

ER -