arXiv · 2305.19459
Influence of Noise on a Rotating, Softening Cantilever Beam
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.
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Lautaro Cilenti, Maria Cameron, Balakumar Balachandran. 2023-05-30. Influence of Noise on a Rotating, Softening Cantilever Beam. https://arxiv.org/abs/2305.19459
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