 An approach dealing with inertia nonlinearity of a cantilever model subject to lateral basal Gaussian white noise excitationGen Ge and Nana Xie Chaos, Solitons & Fractals, 2020, vol. 131, issue C Abstract: An uniform inextensible slender cantilever model with longitudinal inertia nonlinearity under lateral basal Gaussian white noise excitation was studied. The effect of inertia nonlinearity was especially taken into account, which is the main novelty of this study. A modified stochastic averaging method for strong nonlinearity was applied to transform the system into an Ito differential equation about the transient equivalent amplitude. After that, a prediction-correction method was presented to improve the predicting accuracy. The stationary probability density function (PDF) of transient equivalent amplitude, as well as the joint PDF of the displacement and velocity was studied. The reliability function and the probability density of first passage failure time were also investigated by the theoretical analysis and the Monte Carlo simulation. The Monte Carlo results vindicated these approaches. Keywords: Cantilever; Longitudinal inertia nonlinearity; Stochastic averaging method; Gaussian white noise (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:131:y:2020:i:c:s0960077919304151 DOI: 10.1016/j.chaos.2019.109469 Access Statistics for this article Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros More articles in Chaos, Solitons & Fractals from Elsevier |
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