Time-Dependent Structural Reliability Assessment for Nonstationary Non-Gaussian Performance Functions

Cai, Chenzhi; Lu, Zhao–Hui; Leng, Yu; Zhao, Yan‐Gang; Li, Chun‐Qing

doi:10.1061/(asce)em.1943-7889.0001883

Cited by 10 publications

(2 citation statements)

References 36 publications

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“…Based on the Poisson hypothesis model, Markov hypothesis model, or other improved models, the strategy transforms the cross-crossing rate into time-variant reliability. 31,32 Compared with MCS, the second strategy is more efficient. The third strategy is the surrogate model method.…”

Section: Time-variant Reliability Analysismentioning

confidence: 99%

Dynamic response and time-variant reliability analysis of an eight-rod shock isolator

Liu

Huang

Yan

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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The operation of a warship is commonly affected by shock loads in different directions during sailing in a rough sea, which can decrease the precision of the shipboard equipment. To improve the shock resistance performance of the shipboard equipment, an isolator is usually installed to isolate it from the vibration of the ship deck. The paper proposes a method for dynamic response and time-variant reliability analysis of an eight-rod shock isolator (ERSI). ERSI has a novel symmetrical structure, which can improve the utilization of the isolation rods compared with the classical parallel mechanism. The isolator is modeled using Denavit-Hartenberg (D-H) convention and screw theory. Then, Duhamel integral is employed to derive the dynamic response to the isolator after decoupling the governing equation using the modal analysis method. Considering impacts of uncertain factors, this paper also presents a practical method for time-variant reliability analysis of ERSI. Finally, a discussion of the practical example of this method along with a detailed analysis to evaluate the efficiency of the proposed method is presented.

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Section: Time-variant Reliability Analysismentioning

confidence: 99%

Dynamic response and time-variant reliability analysis of an eight-rod shock isolator

Liu

Huang

Yan

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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show abstract

“…Breitung [3] derived the analytical expression of outcrossing rate for stationary Gaussian processes by asymptotic approximations for integrals. For nonstationary non-Gaussian performance functions, Cai et al [4] proposed a new analytical formula to obtain the mean outcrossing rate by transforming the performance functions into a standard Gaussian process. Andrieu-Renaud et al [1] developed the PHI2 method which applies FORM to the parallel system time-invariant reliability analysis to computes the outcrossing rate.…”

Section: Introductionmentioning

confidence: 99%

An adaptive PC-Kriging method for time-variant structural reliability analysis

Nan¹,

Li²,

Song³

2022

Eksploatacja i Niezawodność – Maintenance and Reliability

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The practical application of time-variant reliability analysis is limited by its computationally expensive models which describe the structural system behavior. This paper presents a new adaptive PC-Kriging (APCK) approach to accurately and efficiently assess the time-variant reliabilities. Time interval is firstly discretized with a series of time instants and then the stochastic process is reconstructed by standard normal random variables and deterministic function of time. PC-Kriging (PCK) models are built at each time instant to predict the instantaneous responses of performance function. To improve the accuracy and efficiency, a new update strategy based on the integration of U- and H- learning functions is developed to refine the PCK models of instantaneous responses. One or two best samples are identified by the proposed learning criterion for updating the PCK models. Finally, Monte Carlo simulation (MCS) is used to estimate the time-variant reliability based on the updated PCK models. Four examples are used to validate the accuracy and efficiency of the proposed method.

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Time-variant reliability analysis using moment-based equivalent Gaussian process and importance sampling

Zhao

2022

Struct Multidisc Optim

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Time-Dependent Structural Reliability Assessment for Nonstationary Non-Gaussian Performance Functions

Cited by 10 publications

References 36 publications

Dynamic response and time-variant reliability analysis of an eight-rod shock isolator

Dynamic response and time-variant reliability analysis of an eight-rod shock isolator

An adaptive PC-Kriging method for time-variant structural reliability analysis

Time-variant reliability analysis using moment-based equivalent Gaussian process and importance sampling

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