Vibrations of Dynamical Systems With Quadratic NonlinearitiesSource: Journal of Applied Mechanics:;1965:;volume( 032 ):;issue: 003::page 576Author:P. R. Sethna
DOI: 10.1115/1.3627261Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: General two-degree-of-freedom dynamical systems with weak quadratic nonlinearities are studied. With the aid of an asymptotic method of analysis a classification of these systems is made and the more interesting subclasses are studied in detail. The study includes an examination of the stability of the solutions. Depending on the values of the system parameters, several different physical phenomena are shown to occur. Among these is the phenomenon of amplitude-modulated motions with modulation periods that are much larger than the periods of the excitation forces.
keyword(s): Dynamic systems , Vibration , Force , Stability AND Motion ,
|
Collections
Show full item record
| contributor author | P. R. Sethna | |
| date accessioned | 2017-05-08T23:26:41Z | |
| date available | 2017-05-08T23:26:41Z | |
| date copyright | September, 1965 | |
| date issued | 1965 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25811#576_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/103613 | |
| description abstract | General two-degree-of-freedom dynamical systems with weak quadratic nonlinearities are studied. With the aid of an asymptotic method of analysis a classification of these systems is made and the more interesting subclasses are studied in detail. The study includes an examination of the stability of the solutions. Depending on the values of the system parameters, several different physical phenomena are shown to occur. Among these is the phenomenon of amplitude-modulated motions with modulation periods that are much larger than the periods of the excitation forces. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Vibrations of Dynamical Systems With Quadratic Nonlinearities | |
| type | Journal Paper | |
| journal volume | 32 | |
| journal issue | 3 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3627261 | |
| journal fristpage | 576 | |
| journal lastpage | 582 | |
| identifier eissn | 1528-9036 | |
| keywords | Dynamic systems | |
| keywords | Vibration | |
| keywords | Force | |
| keywords | Stability AND Motion | |
| tree | Journal of Applied Mechanics:;1965:;volume( 032 ):;issue: 003 | |
| contenttype | Fulltext |