On the Stability of Steady Motions in Free and Restrained Dynamical SystemsSource: Journal of Applied Mechanics:;1979:;volume( 046 ):;issue: 002::page 427Author:P. Hagedorn
DOI: 10.1115/1.3424567Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper the stability of the steady motions of dynamical systems with ignorable coordinates is considered. In addition to the original “free” systems “restrained” systems are defined in such a way that the ignorable velocities remain constant for all motions. The relation between the stability behavior of these two types of systems is examined in detail and several stability and instability theorems are given for damped and undamped systems. An illustrative example deals with the steady motions of a heavy gyrostat.
keyword(s): Stability , Motion , Dynamic systems AND Theorems (Mathematics) ,
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| contributor author | P. Hagedorn | |
| date accessioned | 2017-05-08T23:06:10Z | |
| date available | 2017-05-08T23:06:10Z | |
| date copyright | June, 1979 | |
| date issued | 1979 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26120#427_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/91807 | |
| description abstract | In this paper the stability of the steady motions of dynamical systems with ignorable coordinates is considered. In addition to the original “free” systems “restrained” systems are defined in such a way that the ignorable velocities remain constant for all motions. The relation between the stability behavior of these two types of systems is examined in detail and several stability and instability theorems are given for damped and undamped systems. An illustrative example deals with the steady motions of a heavy gyrostat. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | On the Stability of Steady Motions in Free and Restrained Dynamical Systems | |
| type | Journal Paper | |
| journal volume | 46 | |
| journal issue | 2 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3424567 | |
| journal fristpage | 427 | |
| journal lastpage | 432 | |
| identifier eissn | 1528-9036 | |
| keywords | Stability | |
| keywords | Motion | |
| keywords | Dynamic systems AND Theorems (Mathematics) | |
| tree | Journal of Applied Mechanics:;1979:;volume( 046 ):;issue: 002 | |
| contenttype | Fulltext |