Steady-State Undamped Vibrations of a Class of Nonlinear Discrete SystemsSource: Journal of Applied Mechanics:;1960:;volume( 027 ):;issue: 001::page 187Author:P. R. Sethna
DOI: 10.1115/1.3643898Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Steady-state vibrations of a class of nonlinear discrete systems with an arbitrary number of degrees of freedom are studied. The co-ordinates of the system are first transformed to the principal co-ordinates corresponding to the linear part of the system. A perturbation scheme is used to obtain the solutions. Some special effects of the ratios of the linear natural frequencies on the qualitative nature of the solutions are demonstrated. Solutions are obtained for some specific problems and the results are checked against those obtained from an analog-type computer.
keyword(s): Vibration , Discrete systems , Steady state , Degrees of freedom , Frequency AND Computers ,
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| contributor author | P. R. Sethna | |
| date accessioned | 2017-05-08T23:14:19Z | |
| date available | 2017-05-08T23:14:19Z | |
| date copyright | March, 1960 | |
| date issued | 1960 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-926086#187_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/96389 | |
| description abstract | Steady-state vibrations of a class of nonlinear discrete systems with an arbitrary number of degrees of freedom are studied. The co-ordinates of the system are first transformed to the principal co-ordinates corresponding to the linear part of the system. A perturbation scheme is used to obtain the solutions. Some special effects of the ratios of the linear natural frequencies on the qualitative nature of the solutions are demonstrated. Solutions are obtained for some specific problems and the results are checked against those obtained from an analog-type computer. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Steady-State Undamped Vibrations of a Class of Nonlinear Discrete Systems | |
| type | Journal Paper | |
| journal volume | 27 | |
| journal issue | 1 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3643898 | |
| journal fristpage | 187 | |
| journal lastpage | 195 | |
| identifier eissn | 1528-9036 | |
| keywords | Vibration | |
| keywords | Discrete systems | |
| keywords | Steady state | |
| keywords | Degrees of freedom | |
| keywords | Frequency AND Computers | |
| tree | Journal of Applied Mechanics:;1960:;volume( 027 ):;issue: 001 | |
| contenttype | Fulltext |