We define and calculate the entropy of some random walks which have two endpoints fixed, and for which displacements are allowed to take all possible values. An example is given in which the entropy can either be increased or decreased by imposing a constraint. It is also shown, by example, that whe
Modeling of the mean Poincaré map on a class of random impact oscillators
✍ Scribed by Q Feng; H He
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 463 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0997-7538
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper, a class of random vibro-impact systems is studied. For this class of random systems, the general discrete-time model of systems described by mean of impact Poincarè map have been derived. Two engineering examples: a marine engine resiliently mounted under shock excitation and a stochastic rattling system have been investigated. The calculated results show that those models can reveal complex nonlinear behaviors. The bifurcation diagrams exhibit the routes to random chaos.
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