| contributor author | L. A. Month | |
| contributor author | R. H. Rand | |
| date accessioned | 2017-05-08T23:07:56Z | |
| date available | 2017-05-08T23:07:56Z | |
| date copyright | September, 1980 | |
| date issued | 1980 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26152#645_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/92843 | |
| description abstract | The stability of periodic motions (nonlinear normal modes) in a nonlinear two-degree-of-freedom Hamiltonian system is studied by deriving an approximation for the Poincaré map via the Birkhoff-Gustavson canonical transofrmation. This method is presented as an alternative to the usual linearized stability analysis based on Floquet theory. An example is given for which the Floquet theory approach fails to predict stability but for which the Poincaré map approach succeeds. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | An Application of the Poincaré Map to the Stability of Nonlinear Normal Modes | |
| type | Journal Paper | |
| journal volume | 47 | |
| journal issue | 3 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3153747 | |
| journal fristpage | 645 | |
| journal lastpage | 651 | |
| identifier eissn | 1528-9036 | |
| keywords | Stability | |
| keywords | Poincare mapping | |
| keywords | Motion AND Approximation | |
| tree | Journal of Applied Mechanics:;1980:;volume( 047 ):;issue: 003 | |
| contenttype | Fulltext | |