An Unsymmetrical Motion in a Horizontal Impact OscillatorSource: Journal of Vibration and Acoustics:;2002:;volume( 124 ):;issue: 003::page 420Author:Albert C. J. Luo
DOI: 10.1115/1.1468869Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Stability and bifurcation for the unsymmetrical, periodic motion of a horizontal impact oscillator under a periodic excitation are investigated through four mappings based on two switch-planes relative to discontinuities. Period-doubling bifurcation for unsymmetrical period-1 motions instead of symmetrical period-1 motion is observed. A numerical investigation for symmetrical, period-1 motion to chaos is completed. The numerical and analytical results of periodic motions are in very good agreement. The methodology presented in this paper is applicable to other discontinuous dynamic systems. This investigation also provides a better understanding of such an unsymmetrical motion in symmetrical discontinuous systems.
keyword(s): Stability , Motion , Bifurcation , Switches AND Symmetry (Physics) ,
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contributor author | Albert C. J. Luo | |
date accessioned | 2017-05-09T00:09:07Z | |
date available | 2017-05-09T00:09:07Z | |
date copyright | July, 2002 | |
date issued | 2002 | |
identifier issn | 1048-9002 | |
identifier other | JVACEK-28862#420_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/127708 | |
description abstract | Stability and bifurcation for the unsymmetrical, periodic motion of a horizontal impact oscillator under a periodic excitation are investigated through four mappings based on two switch-planes relative to discontinuities. Period-doubling bifurcation for unsymmetrical period-1 motions instead of symmetrical period-1 motion is observed. A numerical investigation for symmetrical, period-1 motion to chaos is completed. The numerical and analytical results of periodic motions are in very good agreement. The methodology presented in this paper is applicable to other discontinuous dynamic systems. This investigation also provides a better understanding of such an unsymmetrical motion in symmetrical discontinuous systems. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | An Unsymmetrical Motion in a Horizontal Impact Oscillator | |
type | Journal Paper | |
journal volume | 124 | |
journal issue | 3 | |
journal title | Journal of Vibration and Acoustics | |
identifier doi | 10.1115/1.1468869 | |
journal fristpage | 420 | |
journal lastpage | 426 | |
identifier eissn | 1528-8927 | |
keywords | Stability | |
keywords | Motion | |
keywords | Bifurcation | |
keywords | Switches AND Symmetry (Physics) | |
tree | Journal of Vibration and Acoustics:;2002:;volume( 124 ):;issue: 003 | |
contenttype | Fulltext |