Transients in Certain Autonomous Multiple-Degree-of-Freedom Nonlinear Vibrating SystemsSource: Journal of Applied Mechanics:;1963:;volume( 030 ):;issue: 001::page 44Author:P. R. Sethna
DOI: 10.1115/1.3630104Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Oscillations of weakly nonlinear autonomous multiple-degree-of-freedom dynamical systems are studied. The analysis includes nonlinear effects arising from the potential as well as the kinetic energies of the systems and the systems include elements that produce nonlinear dissipative forces. The method of averaging is applied to a suitably transformed set of equations. In several important cases nonperiodic solutions for arbitrary initial conditions are obtained by quadratures.
keyword(s): Oscillations , Force , Kinetic energy , Dynamic systems AND Equations ,
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| contributor author | P. R. Sethna | |
| date accessioned | 2017-05-08T23:09:57Z | |
| date available | 2017-05-08T23:09:57Z | |
| date copyright | March, 1963 | |
| date issued | 1963 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25700#44_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/93901 | |
| description abstract | Oscillations of weakly nonlinear autonomous multiple-degree-of-freedom dynamical systems are studied. The analysis includes nonlinear effects arising from the potential as well as the kinetic energies of the systems and the systems include elements that produce nonlinear dissipative forces. The method of averaging is applied to a suitably transformed set of equations. In several important cases nonperiodic solutions for arbitrary initial conditions are obtained by quadratures. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Transients in Certain Autonomous Multiple-Degree-of-Freedom Nonlinear Vibrating Systems | |
| type | Journal Paper | |
| journal volume | 30 | |
| journal issue | 1 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3630104 | |
| journal fristpage | 44 | |
| journal lastpage | 50 | |
| identifier eissn | 1528-9036 | |
| keywords | Oscillations | |
| keywords | Force | |
| keywords | Kinetic energy | |
| keywords | Dynamic systems AND Equations | |
| tree | Journal of Applied Mechanics:;1963:;volume( 030 ):;issue: 001 | |
| contenttype | Fulltext |