1. Influence of noise on a rotating, softening cantilever beam.
- Author
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Cilenti, Lautaro, Cameron, Maria, and Balachandran, Balakumar
- Subjects
- *
CANTILEVERS , *STOCHASTIC systems , *ROTATING machinery , *BEAM dynamics - Abstract
An experimental arrangement and a set of experiments are developed to generate empirical evidence of the effect of noise on a rotating, macro-scale cantilever structure. The experiment is a controlled representation of a rotating machinery blade. Due to the nature of the nonlinear restoring forces acting on the cantilever structure, the structure's response includes regions of multi-stability and hysteresis. Here, a large number of trials are used to show that random perturbations can be used to create a transition between a high amplitude response and a low amplitude response of the cantilever. The observed transition behavior occurs from a high amplitude response to a low amplitude response, but not vice versa. Stochastic modeling of the system, Monte Carlo simulations, and calculations of the stochastic system's quasipotential are used to explain the nearly one-directional transition behavior. These noise-influenced transitions can also occur in other physical systems. • Construction of an experimental setup to study stochastic dynamics of a rotating beam. • Measurements of noise-induced transitions from high- to low-amplitude responses. • Quasipotential analysis and Monte Carlo simulations of noise-induced transitions. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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