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 language | English |
|---|---|
| Pages (from-to) | 657-663 |
| Number of pages | 7 |
| Journal | Journal of Applied Mechanics, Transactions ASME |
| Volume | 65 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Sep 1998 |
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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 journal › Article
}
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 -