A time-variant reliability analysis method for non-linear limit-state functions with the mixture of random and interval variables

Li, Fangyi; Liu, Jie; Yan, Yufei; Rong, Jian; Jiang, Yi; Wen, Guilin

doi:10.1016/j.engstruct.2020.110588

Cited by 24 publications

(8 citation statements)

References 43 publications

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“…The proposed Miura tube in the study has several benefits; for instance, it can be (1) applied to various engineering fields, such as the core layer of a sandwich material, energy-absorbing structures [ 9 , 10 , 11 ], and so on; (2) fabricated from inexpensive two-dimensional metal materials but possess outstanding dynamic properties [ 33 , 34 ]; and (3) used as the initial design domain of a topology optimization to further enhanced the desired mechanical properties [ 57 , 58 , 59 , 60 , 61 ]. However, we still have some works in progress, for instance, fabricating a carbon fiber/epoxy resin-based origami tube [ 62 , 63 , 64 ], conducting modal tests [ 33 ], and performing a structural optimization to further enhance the dynamic properties of the origami tube [ 57 , 58 , 59 , 60 , 61 ]. These results will be published in another paper.…”

Section: Discussionmentioning

confidence: 99%

Revealing the Dynamic Characteristics of Composite Material-Based Miura-Origami Tube

Zhu

Wang

et al. 2021

Materials

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Although Miura origami has excellent planar expansion characteristics and good mechanical properties, its congenital flaws, e.g., open sections leading to weak out-of-plane stiffness and constituting the homogenization of the material, and resulting in limited design freedom, should also be taken seriously. Herein, two identical Miura sheets, made of carbon fiber/epoxy resin composite, were bonded to form a tubular structure with closed sections, i.e., an origami tube. Subsequently, the dynamic performances, including the nature frequency and the dynamic displacement response, of the designed origami tubes were extensively investigated through numerical simulations. The outcomes revealed that the natural frequency and corresponding dynamic displacement response of the structure can be adjusted in a larger range by varying the geometric and material parameters, which is realized by combining origami techniques and the composite structures’ characteristics. This work can provide new ideas for the design of light-weight and high-mechanical-performance structures.

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Section: Discussionmentioning

confidence: 99%

Revealing the Dynamic Characteristics of Composite Material-Based Miura-Origami Tube

Zhu

Wang

et al. 2021

Materials

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“…[19][20][21] Most current methods of mechanism reliability analysis are only applicable to random variables. 22 However, in many engineering applications, some uncertain parameters can only be modelled by interval variables 23 due to the difficulty of determining the random distribution of the parameters. Moreover, owing to the complexity of structural problems, multiple uncertain parameters may exist.…”

Section: Literature Reviewmentioning

confidence: 99%

Reliability analysis of mechanisms with mixed uncertainties using polynomial chaos expansion

Fang

Wang

Sha

et al. 2023

Quality & Reliability Eng

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In order to quantify the effect of mixed uncertainties on the reliability of mechanisms, this paper proposes a method for analyzing the reliability of mechanisms with mixed uncertainties using polynomial chaos expansion. Based on the performance margin theory, a mechanism reliability model considering mixed uncertainties is developed, and the Sobol indices can be easily calculated by an arbitrarily polynomial chaos expansion (aPCE) of the reliability function to quantify the independent contribution of each parameter to the global sensitivity and the effect of parameter coupling. Additionally, this paper also introduces a mixed uncertainties propagation method based on PCE, which treats cognitive uncertainties as fuzzy variables, converts the fuzzy variable into an interval variable using cut set theory, and transforms the PCE containing interval uncertainties into a Bernstein polynomial to calculate the membership function of the output quantity and the non-probabilistic reliability index by area method. The final case study of a simplified automaton motion mechanism illustrates that the proposed method is effective and convincing, and the mechanism reliability decreases with increasing mixed uncertainties. The mechanism reliability index considering mixed uncertainties will give a more conservative reliability estimation.

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“…Li et al (Li et al 2019) combined the sequential sampling strategy with convex set mixed models to improve the efficiency of RBDO when random variables and interval uncertain variables coexist. Furthermore, Li et al (Li et al 2020) proposed a sequential iterative strategy to calculate the worst-case reliability after transferring time-dependent reliability problem into a static reliability one using TRPD. When the worst-case scenario is considered, the reliability problem with mixed variables can be converted to time-dependent problem (Hu and Du 2016).…”

Section: Introductionmentioning

confidence: 99%

Second-order reliability methods: a review and comparative study

Mansour

Olsson

et al. 2021

Struct Multidisc Optim

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Second-order reliability methods are commonly used for the computation of reliability, defined as the probability of satisfying an intended function in the presence of uncertainties. These methods can achieve highly accurate reliability predictions owing to a second-order approximation of the limit-state function around the Most Probable Point of failure. Although numerous formulations have been developed, the lack of full-scale comparative studies has led to a dubiety regarding the selection of a suitable method for a specific reliability analysis problem. In this study, the performance of commonly used second-order reliability methods is assessed based on the problem scale, curvatures at the Most Probable Point of failure, first-order reliability index, and limit-state contour. The assessment is based on three performance metrics: capability, accuracy, and robustness. The capability is a measure of the ability of a method to compute feasible probabilities, i.e., probabilities between 0 and 1. The accuracy and robustness are quantified based on the mean and standard deviation of relative errors with respect to exact reliabilities, respectively. This study not only provides a review of classical and novel second-order reliability methods, but also gives an insight on the selection of an appropriate reliability method for a given engineering application.

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A time-variant reliability analysis method for non-linear limit-state functions with the mixture of random and interval variables

Cited by 24 publications

References 43 publications

Revealing the Dynamic Characteristics of Composite Material-Based Miura-Origami Tube

Revealing the Dynamic Characteristics of Composite Material-Based Miura-Origami Tube

Reliability analysis of mechanisms with mixed uncertainties using polynomial chaos expansion

Second-order reliability methods: a review and comparative study

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