| contributor author | Mikio Nakai | |
| contributor author | Associated Professor | |
| contributor author | Shinji Murata | |
| contributor author | Seiji Hagio | |
| date accessioned | 2017-05-09T00:09:04Z | |
| date available | 2017-05-09T00:09:04Z | |
| date copyright | October, 2002 | |
| date issued | 2002 | |
| identifier issn | 1048-9002 | |
| identifier other | JVACEK-28863#527_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/127680 | |
| description abstract | A generalized solution methodology based on piecewise linear vector fields is proposed for piecewise linear systems with singular regions or asymmetric restoring forces which vary spatially and temporally. In matrix representation for these systems, state variables in each region can be explicitly expressed as a function of the time the orbit spends between two boundaries or the time when the orbit hits the boundary. The time can be determined by the Brent method, and periodic solutions can then be obtained. Analytical solutions are validated on a system with 3-regions of displacement and 2-regions of time, a circumferential vibration of gear meshing system, by using the newly developed numerical method. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Analysis of Piecewise Linear Systems With Boundaries in Displacement and Time | |
| type | Journal Paper | |
| journal volume | 124 | |
| journal issue | 4 | |
| journal title | Journal of Vibration and Acoustics | |
| identifier doi | 10.1115/1.1502668 | |
| journal fristpage | 527 | |
| journal lastpage | 536 | |
| identifier eissn | 1528-8927 | |
| keywords | Displacement | |
| keywords | Linear systems | |
| keywords | Gears | |
| keywords | Numerical analysis AND Resolution (Optics) | |
| tree | Journal of Vibration and Acoustics:;2002:;volume( 124 ):;issue: 004 | |
| contenttype | Fulltext | |