Explicit Assessment of the Forced Vibration of Multi-cracked Beams with Uncertain Damage Intensity

Cannizzaro, Francesco; Impollonia, N.; Avellino, Giuseppe Cocuzza; Caddemi, S.; Caliò, Ivo

doi:10.1007/978-3-030-41057-5_138

Cited by 1 publication

(1 citation statement)

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“…The proposed models were applied to an analysis of structures with uncertain cracks. A method based on interval analysis to assess the dynamic response of damaged beams was presented by Cannizzaro [16]. This method is capable of handling uncertainties in beam structures and inferring the upper and lower bounds of response parameters without introducing any probability content.…”

Section: Introductionmentioning

confidence: 99%

Time-Varying Reliability Analysis of Multi-Cracked Beams Considering Maintenance Dependence

Gao,

Xie

2023

Applied Sciences

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Time-varying reliability models of multi-cracked beam structures are established in this paper, which provide a theoretical method for the safety evaluation of multi-cracked beam structures. The reliability models proposed in this paper consider the interaction between the complex statistical correlations between system parameters during system operation and maintenance correlations, which is a difficult problem in the time-varying reliability modeling that takes into account work mechanisms and maintenance behavior. In the proposed models, multiple cracked elements are regarded as a dependent series system. The stresses, crack extensions, and multiple failure modes between each element constitute the complex failure dependence of the system. The time-varying reliability models of a multi-cracked beam structure are established via the neural network method and failure dependence analysis. Moreover, the failure dependence coefficient is proposed to quantify the time-varying failure dependence. Based on the working principle of the beam structures and the maintenance mechanism for the cracked state of the beams, a time-varying system reliability mode considering the maintenance dependence is proposed. Furthermore, the maintenance dependence coefficient index is proposed to quantitatively measure the interaction between the maintenance dependence and the failure dependence. Finally, the validity of the model is verified through the Monte Carlo simulation method. In the numerical examples, the relationship between maintenance dependence and failure dependence is illustrated and the influences of the statistical characteristics of the maintenance characteristic parameters on the maintainability and failure dependence are analyzed.

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Section: Introductionmentioning

confidence: 99%