| contributor author | R. N. Iyengar | |
| contributor author | D. Roy | |
| date accessioned | 2017-05-08T23:49:19Z | |
| date available | 2017-05-08T23:49:19Z | |
| date copyright | March, 1996 | |
| date issued | 1996 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26368#55_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/116490 | |
| description abstract | The planar rocking of a prismatic rectangular rigid block about either of its corners is considered. The problem of homoclinic intersections of the stable and unstable manifolds of the perturbed separatrix is addressed to and the corresponding Melnikov functions are derived. Inclusion of the vertical forcing in the Hamiltonian permits the construction of a three-dimensional separatrix. The corresponding modified Melnikov function of Wiggins for homoclinic intersections is derived. Further, the 1-period symmetric orbits are predicted analytically using the method of averaging and compared with the simulation results. The stability boundary for such orbits is also established. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Nonlinear Dynamics of a Rigid Block on a Rigid Base | |
| type | Journal Paper | |
| journal volume | 63 | |
| journal issue | 1 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.2787209 | |
| journal fristpage | 55 | |
| journal lastpage | 61 | |
| identifier eissn | 1528-9036 | |
| keywords | Nonlinear dynamics | |
| keywords | Intersections | |
| keywords | Corners (Structural elements) | |
| keywords | Functions | |
| keywords | Manifolds | |
| keywords | Simulation results | |
| keywords | Stability AND Construction | |
| tree | Journal of Applied Mechanics:;1996:;volume( 063 ):;issue: 001 | |
| contenttype | Fulltext | |
