Experimental study of a symmetrical piecewise base-excited oscillator

M. Wiercigroch, V. W.T. Sin

Research output: Contribution to journalArticle

93 Citations (Scopus)

Abstract

This paper presents an experimental study on a base-excited piecewise linear oscillator with symmetrical flexible constrains of high stiffness ratio (above 20). The details of the adopted design of the oscillator, the experimental set-up, and calibration procedure are briefly discussed. The regions of chaotic motion predicted theoretically were confirmed by the experimental results arranged into bifurcation diagrams. Clearance, stiffness 1Yltio, amplitude, and frequency of the external force were used as branching parameters. The discussion of the system dynamics is based on bifurcation diagrams and Lissajous curves. The investigated system tends to be periodic for large clearances and chaotic for small ones. This picture is reversed for the amplitude of the forcing changes, where periodic motion occurred for small values and chaos dominated for larger forcing. The same behavior is observed for increasing frequency ratio where, for values below the natural frequency, the most interesting dynamics occurs. For the investigated parameter values, the stiffness ratio variation produces only periodic motion.

Original languageEnglish
Pages (from-to)657-663
Number of pages7
JournalJournal of Applied Mechanics, Transactions ASME
Volume65
Issue number3
DOIs
Publication statusPublished - 1 Sep 1998

Fingerprint

stiffness
Stiffness
oscillators
clearances
diagrams
Bifurcation (mathematics)
Chaos theory
resonant frequencies
chaos
Natural frequencies
Dynamical systems
Calibration
curves

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Experimental study of a symmetrical piecewise base-excited oscillator. / Wiercigroch, M.; Sin, V. W.T.

In: Journal of Applied Mechanics, Transactions ASME, Vol. 65, No. 3, 01.09.1998, p. 657-663.

Research output: Contribution to journalArticle

@article{a0fcc89921d947cea56dbd420b17c2ef,
title = "Experimental study of a symmetrical piecewise base-excited oscillator",
abstract = "This paper presents an experimental study on a base-excited piecewise linear oscillator with symmetrical flexible constrains of high stiffness ratio (above 20). The details of the adopted design of the oscillator, the experimental set-up, and calibration procedure are briefly discussed. The regions of chaotic motion predicted theoretically were confirmed by the experimental results arranged into bifurcation diagrams. Clearance, stiffness 1Yltio, amplitude, and frequency of the external force were used as branching parameters. The discussion of the system dynamics is based on bifurcation diagrams and Lissajous curves. The investigated system tends to be periodic for large clearances and chaotic for small ones. This picture is reversed for the amplitude of the forcing changes, where periodic motion occurred for small values and chaos dominated for larger forcing. The same behavior is observed for increasing frequency ratio where, for values below the natural frequency, the most interesting dynamics occurs. For the investigated parameter values, the stiffness ratio variation produces only periodic motion.",
author = "M. Wiercigroch and Sin, {V. W.T.}",
note = "The support provided by University of Aberdeen Research Committee Grant No. 724 is gratefully acknowledged. The authors also would like to express their thanks to the anonymous reviewers, Prof. Matthew P. Cartmell, Glasgow University, and Dr. Jason M. Reese, Aberdeen University, for helpful comments on the manuscript.",
year = "1998",
month = "9",
day = "1",
doi = "10.1115/1.2789108",
language = "English",
volume = "65",
pages = "657--663",
journal = "Journal of Applied Mechanics",
issn = "0021-8936",
publisher = "American Society of Mechanical Engineers(ASME)",
number = "3",

}

TY - JOUR

T1 - Experimental study of a symmetrical piecewise base-excited oscillator

AU - Wiercigroch, M.

AU - Sin, V. W.T.

N1 - The support provided by University of Aberdeen Research Committee Grant No. 724 is gratefully acknowledged. The authors also would like to express their thanks to the anonymous reviewers, Prof. Matthew P. Cartmell, Glasgow University, and Dr. Jason M. Reese, Aberdeen University, for helpful comments on the manuscript.

PY - 1998/9/1

Y1 - 1998/9/1

N2 - This paper presents an experimental study on a base-excited piecewise linear oscillator with symmetrical flexible constrains of high stiffness ratio (above 20). The details of the adopted design of the oscillator, the experimental set-up, and calibration procedure are briefly discussed. The regions of chaotic motion predicted theoretically were confirmed by the experimental results arranged into bifurcation diagrams. Clearance, stiffness 1Yltio, amplitude, and frequency of the external force were used as branching parameters. The discussion of the system dynamics is based on bifurcation diagrams and Lissajous curves. The investigated system tends to be periodic for large clearances and chaotic for small ones. This picture is reversed for the amplitude of the forcing changes, where periodic motion occurred for small values and chaos dominated for larger forcing. The same behavior is observed for increasing frequency ratio where, for values below the natural frequency, the most interesting dynamics occurs. For the investigated parameter values, the stiffness ratio variation produces only periodic motion.

AB - This paper presents an experimental study on a base-excited piecewise linear oscillator with symmetrical flexible constrains of high stiffness ratio (above 20). The details of the adopted design of the oscillator, the experimental set-up, and calibration procedure are briefly discussed. The regions of chaotic motion predicted theoretically were confirmed by the experimental results arranged into bifurcation diagrams. Clearance, stiffness 1Yltio, amplitude, and frequency of the external force were used as branching parameters. The discussion of the system dynamics is based on bifurcation diagrams and Lissajous curves. The investigated system tends to be periodic for large clearances and chaotic for small ones. This picture is reversed for the amplitude of the forcing changes, where periodic motion occurred for small values and chaos dominated for larger forcing. The same behavior is observed for increasing frequency ratio where, for values below the natural frequency, the most interesting dynamics occurs. For the investigated parameter values, the stiffness ratio variation produces only periodic motion.

UR - http://www.scopus.com/inward/record.url?scp=0032157199&partnerID=8YFLogxK

U2 - 10.1115/1.2789108

DO - 10.1115/1.2789108

M3 - Article

VL - 65

SP - 657

EP - 663

JO - Journal of Applied Mechanics

JF - Journal of Applied Mechanics

SN - 0021-8936

IS - 3

ER -