A time-variant reliability approach for ageing marine structures with non-linear behaviour

Mejri, Mondher; Cazuguel, Mikaël; Cognard, Jean‐Yves

doi:10.1016/j.compstruc.2010.10.007

Cited by 27 publications

(19 citation statements)

References 23 publications

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“…Combined with the definitions in the previous section [Eqs. (13), (14) and (19)], the rectangular domain between g (t 1 , a(t 1 ), X(t 1 )) and g (t 2 , a(t 2 ), X(t 2 )) can also be affirmed.…”

Section: Time-variant Reliability Measurement Based On the Non-probabmentioning

confidence: 84%

“…In view of the comprehensive reasons of material property degeneration, varying environmental conditions and dynamic load processes, the uncertain structures in practical engineering still exhibit a distinct timevarying effect, and, as a consequence, the concept of safety evaluation during the entire lifetime for mechanical behaviors has widely been recognized and been paid more and more attentions in the last two decades [19,20]. However, once the structural behaviors under consideration evolve in time, traditional static reliability methods may not be feasible any more.…”

Section: Introductionmentioning

confidence: 99%

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Time-variant reliability model and its measure index of structures based on a non-probabilistic interval process

Wang

Chen

et al. 2015

Acta Mech

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The study on reliability of an aging structure requires taking into account the influence of time. Typical approaches for performing time-variant reliability assessment are always based upon the random process model, where the dynamic distributions of uncertain parameters are determined by a substantial number of samples. In this paper, a new time-variant reliability measurement based on a non-probabilistic interval process model is proposed, in which we describe the time-varying uncertain variables at any time as intervals and define the corresponding auto-covariance function and correlation coefficient function to characterize the correlation between limit states at different times. By combining with the set-theory approach and the classical first-passage theory, a new non-probabilistic model of safety evaluation for time-dependent structures is established, and its measure index is then analytically calculated. The proposed model of timevariant reliability is suitable for both the cases of stationary process and non-stationary process. Moreover, the Monte Carlo method is also presented as a means of verification. The comparison between the presented model and the Monte Carlo-based model is eventually carried out on two application examples; the usage, efficiency and accuracy of the developed approach can be demonstrated.

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Section: Time-variant Reliability Measurement Based On the Non-probabmentioning

confidence: 84%

Section: Introductionmentioning

confidence: 99%

Time-variant reliability model and its measure index of structures based on a non-probabilistic interval process

Wang

Chen

et al. 2015

Acta Mech

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“…Unavoidably, the ship structure could experience corrosion in the ocean environment for a long time, in which process the material performance is also degraded. Considering the influence of the ocean corrosion, M. Mejri et al [3] conducted the analysis on the nolinear degradation with the out-crossing rate method, thus solving problem of nolinear degeneration for ship structure. C. Andrieu-Renaud et al [4] has made some improvements in utilizing out-sourcing method to calculate the time-variant reliability, and put forward the PHI2 method for the first time.…”

Section: Introductionmentioning

confidence: 99%

Time-variant reliability analysis of ship grillage structure

Sun

Huang

et al. 2015

2015 First International Conference on Reliability Systems Engineering (ICRSE)

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Material characteristics, environmental conditions and loading characteristics under the time domain features shall be taken into consideration so as to effectively evaluate the reliability of ship grillage structure. Moreover, the method of time-variant reliability serves as an effective approach to solve the problem. In the paper, based on the loading environmental features of ships during the enlistment, research has been conducted on the changing of material geometrical and mechanical characteristics with time under the corrosive action. Furthermore, on the basis of time-variant theory, the timevariant model of section modulus as well as bending strength concerning the ship grillage structure has been established, thus generating a time-variant reliability analysis method integrated with out-crossing rate and First Order Second Moment(FOSM) method. Besides, the paper analyzes the time consecutiveness of ship grillage structure reliability based on the time-variant reliability cases of certain ship grillage structure under the corrosion environment while the failure probability of the ship during the enlistment has been accurately predicted.

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“…This method given in Ref. 16 is realized by calculation of outcrossing rate combined with FORM method.…”

Section: Time-variant Reliability Analysismentioning

confidence: 99%

A stochastic surrogate model for time-variant reliability analysis of flexible multibody system

Kan¹,

Zhang²,

Wang³

2017

Vib. proced.

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Abstract. The dynamic model of the flexible multibody systems (FMS) is usually the differential equations with time-variant, high nonlinear and strong coupling characteristics. The traditional reliability models are inefficient to solve these problems. And the reliability model is poor in accuracy and computational efficiency. Based on this point, a new stochastic surrogate model for time-variant reliability analysis of FMS is proposed. Combined model order reduction with generalized polynomial chaos, the stochastic surrogate model is established and the statistical characteristics of system responses are obtained. The calculation method of kinematic time-variant reliability is given. Finally, the effectiveness of the method is verified by a rotating flexible beam. The results show that this method has high computational accuracy compared with Monte Carlo method.

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A time-variant reliability approach for ageing marine structures with non-linear behaviour

Cited by 27 publications

References 23 publications

Time-variant reliability model and its measure index of structures based on a non-probabilistic interval process

Time-variant reliability model and its measure index of structures based on a non-probabilistic interval process

Time-variant reliability analysis of ship grillage structure

A stochastic surrogate model for time-variant reliability analysis of flexible multibody system

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