| contributor author | S. T. Ariaratnam | |
| contributor author | Wei-Chau Xie | |
| date accessioned | 2017-05-08T23:40:27Z | |
| date available | 2017-05-08T23:40:27Z | |
| date copyright | September, 1993 | |
| date issued | 1993 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26350#677_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/111387 | |
| description abstract | The variation of the largest Lyapunov exponent for two-dimensional parametrically excited stochastic systems is studied by a method of linear transformation. The sensitivity to random disturbance of systems undergoing bifurcation is investigated. Two commonly occurring examples in structural dynamics are considered, where the random fluctuation appears in the stiffness term or the damping term. The boundaries of almost-sure stochastic stability are determined by the vanishing of the largest Lyapunov exponent of the linearized system. The validity of the approximate results is checked by numerical simulation. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Lyapunov Exponents and Stochastic Stability of Two-Dimensional Parametrically Excited Random Systems | |
| type | Journal Paper | |
| journal volume | 60 | |
| journal issue | 3 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.2900857 | |
| journal fristpage | 677 | |
| journal lastpage | 682 | |
| identifier eissn | 1528-9036 | |
| keywords | Stability | |
| keywords | Computer simulation | |
| keywords | Structural dynamics | |
| keywords | Damping | |
| keywords | Bifurcation | |
| keywords | Stiffness AND Stochastic systems | |
| tree | Journal of Applied Mechanics:;1993:;volume( 060 ):;issue: 003 | |
| contenttype | Fulltext | |