Moment Method with Box–Cox Transformation for Structural Reliability

2020 ◽  
Vol 146 (8) ◽  
pp. 04020086 ◽  
Author(s):  
Chao-Huang Cai ◽  
Zhao-Hui Lu ◽  
Yan-Gang Zhao
Keyword(s):  
Moment Method ◽  
Structural Reliability ◽  
Box Cox Transformation

scholarly journals Research on Bridge Structure Reliability Evaluation due to Vessels Collison Based on a Statistical Moment Method

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Tao Fu ◽  
Yang Liu ◽  
Zhixin Zhu
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Moment Method ◽  
Structural Reliability ◽  
Statistical Moment ◽  
Bridge Structure ◽  
Element Analysis ◽  
Performance Function ◽  
Structural Resistance ◽  
Collision Force

Damage to bridge structures caused by vessel collision is a risk for bridges crossing water traffic routes. Therefore, safety around vessel collision of existing and planned bridges is one of the key technical problems that must be solved by engineering technicians and bridge managers. In the evaluation of the reliability of the bridge structure, the two aspects of vessel-bridge collision force and structural resistance need to be considered. As there are many influencing parameters, the performance function is difficult to express by explicit function. This paper combines the moment method theory of structural reliability with finite element analysis and proposes a statistical moment method based on finite element analysis for the calculation of vessel-bridge collision reliability, which solves the structural reliability problem with a nonlinear implicit performance function. According to the probability model based on current velocity, vessel velocity, and vessel collision tonnage, the estimate points in the standard normal space are converted into estimate points in the original state space through the Rosenblatt reverse transform. According to the estimate points in the original state space and the simplified dynamic load model of vessel-bridge collision, the sample time-history curve of random vessel-bridge collision force is generated, the dynamic response of the bridge structure and the structural resistance of the bridge are calculated by establishing a finite element model, and the failure probability and reliability index of the bridge structure is calculated according to the fourth-moment method. The statistical moment based on the finite element analysis is based on the finite element analysis and the moment method theory of structural reliability. The statistical moment of the limited performance function is calculated through a quite small amount of confirmatory finite element analysis, and the structural reliability index and failure probability are obtained. The method can be widely used in existing finite element analysis programs, greatly reducing the number of finite element analyses needed and improving the efficiency of structural reliability analysis.

scholarly journals A Simple Third-Moment Method for Structural Reliability

2006 ◽  
Vol 5 (1) ◽  
pp. 129-136 ◽  
Author(s):  
Yan-Gang Zhao ◽  
Zhao-Hui Lu ◽  
Tetsuro Ono
Keyword(s):  
Moment Method ◽  
Structural Reliability ◽  
Third Moment

An improved high-order statistical moment method for structural reliability analysis with insufficient data

2017 ◽  
Vol 232 (6) ◽  
pp. 1050-1056 ◽  
Author(s):  
Tianxiao Zhang ◽  
David He
Keyword(s):  
Reliability Analysis ◽  
Moment Method ◽  
Structural Reliability ◽  
Statistical Moment ◽  
High Order ◽  
Structural Systems ◽  
Insufficient Data ◽  
Reliability Calculation ◽  
Calculation Results ◽  
Statistical Moment Method

The fourth-order moment method for reliability analysis of structural systems can be practically applied to effectively address the problem of reliability calculation and analysis with insufficient probability data. For complicated reliability analysis problems, however, this method can lead to inaccurate and unstable reliability calculation results. In this paper, an improved high-order statistical moment method for structural reliability analysis with insufficient data is presented. The presented method is inferred using the properties of statistical moment of standard normal distribution parameter and therefore is possible to obtain more stable and accurate calculation of the reliability indexes of a structural system with insufficient probability data. Two numerical examples are provided to show the performance of the presented method. The example results have shown that the method proposed in this paper not only improves the calculation accuracy and stability, but also brings the calculation results closer to the project conditions. The developed high-moment method for reliability calculation of structural systems provides a practical and effective theoretical base and technical support for the reliability design of structural systems.

Reliability Analysis of the Structural Laminated Veneer Lumber

2009 ◽  
Vol 620-622 ◽  
pp. 157-160 ◽  
Author(s):  
Bing Xue ◽  
Ying Cheng Hu
Keyword(s):  
Wood Species ◽  
Moment Method ◽  
High Performance ◽  
Structural Reliability ◽  
Bending Strength ◽  
Construction Engineering ◽  
First Order ◽  
Laminated Veneer Lumber ◽  
Design And Manufacture ◽  
Second Moment Method

The structural Laminated Veneer Lumber(LVL) is a kind of high-performance eco-material used in the construction engineering structure. It has great significance to analyze the structural reliability for the design and manufacture of the structural LVL. In this paper, the modulus of elasticity and static bending strength of LVL manufactured by birch and poplar veneers were obtained. And the factors were also analyzed, such as wood species, veneer thickness and LVL density. The advanced first order and second moment method (AFOSM) was used to analyze the reliability of LVL. So this paper offered a method to analyze the reliability of structural LVL for designing and using reasonably.

Second-Order Fourth-Moment Method for Structural Reliability

2017 ◽  
Vol 143 (4) ◽  
pp. 06016010 ◽  
Author(s):  
Zhao-Hui Lu ◽  
Dong-Zhu Hu ◽  
Yan-Gang Zhao
Keyword(s):  
Moment Method ◽  
Structural Reliability ◽  
Second Order ◽  
Fourth Moment

Functional and operational risk as a criterion for assessing the durability of an autonomous energy system

2019 ◽  
Vol 12 (1) ◽  
pp. 56-62 ◽  
Author(s):  
A. O. Nedosekin ◽  
A. V. Smirnov ◽  
D. P. Makarenko ◽  
Z. I. Abdoulaeva
Keyword(s):  
Service Life ◽  
Structural Reliability ◽  
Residual Life ◽  
Fuzzy Random Variable ◽  
Operational Risk ◽  
Energy System ◽  
Technical System ◽  
Residual Service Life ◽  
Technological Parameters ◽  
Residual Service

The article presents new models and methods for estimating the residual service life of an autonomous energy system, using the functional operational risk criterion (FOR). The purpose of the article is to demonstrate a new method of durability evaluation using the fuzzy logic and soft computing framework. Durability in the article is understood as a complex property directly adjacent to the complex property of system resilience, as understood in the Western practice of assessing and ensuring the reliability of technical systems. Due to the lack of reliable homogeneous statistics on system equipment failures and recoveries, triangular fuzzy estimates of failure and recovery intensities are used as fuzzy functions of time based on incomplete data and expert estimates. The FOR in the model is the possibility for the system availability ratio to be below the standard level. An example of the evaluation of the FOR and the residual service life of a redundant cold supply system of a special facility is considered. The transition from the paradigm of structural reliability to the paradigm of functional reliability based on the continuous degradation of the technological parameters of an autonomous energy system is considered. In this case, the FOR can no longer be evaluated by the criterion of a sudden failure, nor is it possible to build a Markov’s chain on discrete states of the technical system. Assuming this, it is appropriate to predict the defi ning functional parameters of a technical system as fuzzy functions of a general form and to estimate the residual service life of the technical system as a fuzzy random variable. Then the FOR is estimated as the possibility for the residual life of the technical system to be below its warranty period, as determined by the supplier of the equipment.

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