Domains of Stability in a Wind-Induced Oscillation ProblemSource: Journal of Applied Mechanics:;1979:;volume( 046 ):;issue: 003::page 672Author:P. J. Holmes
DOI: 10.1115/1.3424625Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In two earlier papers, the motion of a structure induced by vortex shedding was investigated for the cases of resonance and order three subharmonic resonance. In both cases classes of unbounded solutions exist and the size and boundary of the domain of stability dividing these from bounded solutions is therefore of great interest. In this paper we show that, for light damping, the domain of stability has an extremely complex boundary due to the presence of heteroclinic orbits. In addition, it may be considerably smaller than might be expected. The method employed is quite general and the conclusions appear significant for a number of other problems in nonlinear oscillations.
keyword(s): Oscillations , Stability , Wind , Resonance , Motion , Damping AND Vortex shedding ,
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| contributor author | P. J. Holmes | |
| date accessioned | 2017-05-08T23:06:02Z | |
| date available | 2017-05-08T23:06:02Z | |
| date copyright | September, 1979 | |
| date issued | 1979 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26125#672_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/91748 | |
| description abstract | In two earlier papers, the motion of a structure induced by vortex shedding was investigated for the cases of resonance and order three subharmonic resonance. In both cases classes of unbounded solutions exist and the size and boundary of the domain of stability dividing these from bounded solutions is therefore of great interest. In this paper we show that, for light damping, the domain of stability has an extremely complex boundary due to the presence of heteroclinic orbits. In addition, it may be considerably smaller than might be expected. The method employed is quite general and the conclusions appear significant for a number of other problems in nonlinear oscillations. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Domains of Stability in a Wind-Induced Oscillation Problem | |
| type | Journal Paper | |
| journal volume | 46 | |
| journal issue | 3 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3424625 | |
| journal fristpage | 672 | |
| journal lastpage | 676 | |
| identifier eissn | 1528-9036 | |
| keywords | Oscillations | |
| keywords | Stability | |
| keywords | Wind | |
| keywords | Resonance | |
| keywords | Motion | |
| keywords | Damping AND Vortex shedding | |
| tree | Journal of Applied Mechanics:;1979:;volume( 046 ):;issue: 003 | |
| contenttype | Fulltext |