Direct probability integral method for static and dynamic reliability analysis of structures with complicated performance functions

Li, Xiaolan; Chen, Guohai; Cui, Haichao; Yang, Dan

doi:10.1016/j.cma.2020.113583

Cited by 35 publications

(6 citation statements)

References 47 publications

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“…The structural reliability assessment work is mainly based on the stress-strength interference theory framework, and the reliability assessment result of the structure is obtained by determining the probability of occurrence of the stress and strength interference zone. [13][14][15] Due to the large safety margin in the structural design of the CRDM, even if the high scattering of stress and strength is fully considered, there is no interference zone, that is, the reliability is 1, which is obviously not consistent with the reality. As the CRDM operates under high temperature, high pressure and strong irradiation environment, the strength of its key operating parts will inevitably deteriorate as the service time goes by.…”

Section: F I G U R E 1 Structural Illustration Of Crdmmentioning

confidence: 99%

“…If the shape function of Gamma process can be expressed as a linear function that is 𝜐(𝑡) = 𝑎𝑡, 𝑎 ≥ 0, the mean and variance of Δ𝐷 𝑖 𝑗 can be formulated as Equation (12) and Equation ( 13), respectively. The solution of the arithmetic mean of 𝑢 𝑗 (𝑗 = 1, 2, … , 𝑛) is the estimated value of the scale parameter of the Gamma process, which is expressed as Equation (14).…”

Section: P-s-n Curve-based Gamma Process Degradationmentioning

confidence: 99%

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Degradation‐based reliability analysis of magnetic jack type control rod drive mechanism

Chen

et al. 2022

Quality & Reliability Eng

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The magnetic jack type control rod drive mechanism (CRDM) is the key actuator in the nuclear power plant reactor. The latch assembly of the CRDM acts as the execution component to lift, insert, and release the control rod assembly to accomplish the reactor startup, power regulation, and shutdown, etc. The accuracy and the timeliness of CRDM latch assembly action will directly determine the safety operation of the reactor. Considering the time variation of the structural strength deterioration in the latch assembly, the time‐dependent reliability of CRDM's lift action is evaluated based on the Gamma degradation process. P‐S‐N curve is introduced to model the shape function and the scale parameter of the Gamma process. The stress subjected to the key structure of the latch assembly is calculated by a multi‐physics field coupling simulation scheme with utilization of MATLAB to transfer simulated results between the ANSYS and ADAMS software. Finally, the time‐dependent reliability is calculated based on the Monte Carlo simulation method. In this paper, the lift pole thread of the assembly is presented to demonstrate the effectiveness of the proposed method.

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Section: F I G U R E 1 Structural Illustration Of Crdmmentioning

confidence: 99%

Section: P-s-n Curve-based Gamma Process Degradationmentioning

confidence: 99%

Degradation‐based reliability analysis of magnetic jack type control rod drive mechanism

Chen

et al. 2022

Quality & Reliability Eng

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“…In response, Chen et al [26,27] presented a unified and effective DPIM based on Dirac delta function smoothing. This method can directly solve the probability density integral equation (PDIE) without using a difference scheme [28,29].…”

Section: Introductionmentioning

confidence: 99%

Direct Probability Integral Method for Seismic Performance Assessment of Earth Dam Subjected to Stochastic Mainshock–Aftershock Sequences

Huang,

Yang,

Pang

et al. 2023

Water

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Studying the impact of mainshock–aftershock sequences on dam reliability is crucial for effective disaster prevention measures. With this purpose in mind, a new method for stochastic dynamic response analyses and reliability assessments of dams during seismic sequences has been proposed. Firstly, a simulation method of stochastic seismic sequences is described, considering the dependence between mainshock and aftershock based on Copula function. Then, a novel practical framework for stochastic dynamic analysis is established, combined with the improved point selection strategy and the direct probability integration method (DPIM). The DPIM is employed on a nonlinear system with one degree of freedom and compared with Monte Carlo simulation (MCS). The findings reveal that the method boasts exceptional precision and efficiency. Finally, the seismic performance of a practical dam was evaluated based on the above method, which not only accurately estimates the response probability distribution and dynamic reliability of the dam, but also greatly reduces the required calculations. Furthermore, the impact of aftershocks on dam seismic performance is initially evaluated through a probability approach in this research. It is found that seismic sequences will significantly increase the probability of earth dam failure compared with sequences of only mainshocks. In addition, the influence of aftershocks on reliability will further increase when the limit state is more stringent. Specifically, the novel analysis method proposed in this paper provides more abundant and objective evaluation indices, providing a dynamic reliability assessment for dams that is more effective than traditional evaluation methods.

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“…Zhang et al [10] proposed an efficient method for time-variant reliability including finite element analysis. Chen and Yang [11] proposed a method called direct probability integral method; this method can calculate both static and dynamic reliability [12,13]. Another set of scholars studied the bearing capacity of concrete structures based on reliability theory; for example, Zhou et al [14] analyzed the capacity of FRP shear strengthened reinforced concrete beams.…”

Section: Introductionmentioning

confidence: 99%

Reliability Analysis of Concrete Beam with High-Strength Steel Reinforcement

2022

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In concrete structures, replacing conventional steel bars with high-strength steel reinforcement (HSSR) can effectively save the use of materials. However, the deformation properties and strength dispersion of HSSR are different from those of conventional steel reinforcement, which restricts or conservatively uses them in practical applications. For example, the partial safety factor of HRB500 grade steel bars (the yield strength is 500 MPa) in guideline GB50010-2010 is larger than that of conventional steel bars, and there is no relevant guidance for HRB600 grade steel bars (the yield strength is 600 MPa). Based on this, this paper will propose the limit state design method of high-strength steel reinforced concrete beam (HSSRCB) based on reliability analysis, which is convenient for the popularization and use of HSSR. Firstly, the flexural performance test of HSSRCBs was introduced, and the flexural capacity of HSSRCB was analyzed based on the existing prediction model. Second, a sectional numerical analysis model was established, where the section was discretized into several points, and then the curvature was gradually increased to obtain the corresponding bending moment through integration. A large number of samples were calculated to obtain statistical characteristics of the error of prediction model. Then, the limit state functions were established for two kinds of format, including partial safety factor format (PSSF) and resistance reduction factor format (RRFF), respectively, and the reliability of HSSRCBs was analyzed based on Monte Carlo simulation. Finally, the recommended values of partial safety factor of material and reduction factor of bearing capacity were proposed, in which the design strength of HRB500 and HRB600 reinforcement was 454 MPa and 545 MPa for PSSF, respectively, and the resistance reduction factor for the flexural capacity of HSSRCB was 0.8 and 0.75 for RRFF, respectively.

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Direct probability integral method for static and dynamic reliability analysis of structures with complicated performance functions

Cited by 35 publications

References 47 publications

Degradation‐based reliability analysis of magnetic jack type control rod drive mechanism

Degradation‐based reliability analysis of magnetic jack type control rod drive mechanism

Direct Probability Integral Method for Seismic Performance Assessment of Earth Dam Subjected to Stochastic Mainshock–Aftershock Sequences

Reliability Analysis of Concrete Beam with High-Strength Steel Reinforcement

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