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Influence of Noise on a Rotating, Softening Cantilever Beam

2023/05/30 by Lautaro Cilenti, Maria Cameron, Cilenti, Lautaro +3 · 1 citation
Decision Sciences · Engineering · Physics and Astronomy · #Applied Physics (physics.app-ph) #FOS: Physical sciences #Probabilistic and Robust Engineering Design #Scientific Research and Discoveries #Tree Root and Stability Studies

paper · pdf · doi:10.48550/arxiv.2305.19459

openalex publication_date 2023/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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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