Study on Relation of Structural Reliability Calculation and Fuzzy Mathematics

2011 ◽  
Vol 243-249 ◽  
pp. 5739-5744 ◽  
Author(s):  
Zhong Hua Wen ◽  
Juan Zhou ◽  
Ming Xiao Jia
Keyword(s):  
Reliability Index ◽  
Structural Reliability ◽  
Scientific Evidence ◽  
Degree Theory ◽  
Fuzzy Mathematics ◽  
Basic Variable ◽  
Statistical Parameters ◽  
Variable Source ◽  
Reliability Calculation ◽  
Source Data

Randomicity of basic variable results in the problem of structural reliability. A series of statistical parameters is applied in reliability calculation. Statistical parameters are attained by the statistics and analysis of source data of basic variable. However the basic variable source data is imperfect for a lot of structure. On the other hand, the relation of reliability index and basic variable is an important issue in reliability calculation. The two matters are solved in this paper by fuzzy mathematics. First, the matter of statistic data scarcity of load and resistibility and offered scientific evidence for estimation of distributing type of load and resistibility it solved by grey forecast; Second , the correlate degree of reliability index and load is calculated by correlate degree theory which can provide scientific evidence for security inspect of project.

Reliability Analysis of Reinforced Concrete Structural during Construction

2011 ◽  
Vol 71-78 ◽  
pp. 310-314
Author(s):  
Jun Zhao
Keyword(s):  
Reinforced Concrete ◽  
Stochastic Analysis ◽  
Reliability Index ◽  
Structural Reliability ◽  
Reinforced Concrete Structures ◽  
Time Varying ◽  
Calculation Algorithm ◽  
Random Field Theory ◽  
Reliability Calculation ◽  
Practical Engineering

According to random field theory, combined with the construction of the characteristics of reinforced concrete structures, based on the geometric significance of the reliability index, the optimization algorithm of the reliability was established, and the reliability calculation algorithm of reinforced concrete structural during construction is proposed based on stochastic finite element method. Based on a stochastic analysis of the practical engineering, the time-varying laws of the reinforced concrete structural reliability index during construction are concluded.

scholarly journals A new structural reliability index based on uncertainty theory

2017 ◽  
Vol 30 (4) ◽  
pp. 1451-1458 ◽  
Author(s):  
Pidong WANG ◽  
Jianguo ZHANG ◽  
Hao ZHAI ◽  
Jiwei QIU
Keyword(s):  
Reliability Index ◽  
Uncertainty Theory ◽  
Structural Reliability

Reliability Based Assessment of Deck Elevations for Offshore Jacket Platforms

2004 ◽  
Vol 126 (4) ◽  
pp. 331-336 ◽  
Author(s):  
Ernesto Heredia-Zavoni ◽  
Dante Campos ◽  
Gallegher Ramı´rez
Keyword(s):  
Reliability Index ◽  
Structural Reliability ◽  
Failure Modes ◽  
Probability Of Failure ◽  
Upper And Lower Bounds ◽  
Series System ◽  
Wave Loading ◽  
System Components ◽  
Storm Wave ◽  
Wave Heights

Structural reliability analyses of fixed marine platforms subjected to storm wave loading are performed to assess deck elevations. Platforms are modeled as a series system consisting of the deck and jacket bays. The structural reliability analyses are carried out assuming dominant failure modes for the system components. Upper and lower bounds of the probability of failure are computed. The variation of the reliability index per bay component as a function of wave height, with a focus on those wave heights that generate forces on the deck, is analyzed. A comparison is given for the deck probability of failure and the lower bound probability of failure of the jacket in order to assess how the deck or the jacket controls the probability of failure of the system. Results are also given for reliability analyses considering different deck elevations. Finally, an analysis of the total probabilities of failure, unconditioned on wave heights, is given.

Non-Probabilistic Structural Reliability Model Based on Ellipsoidal-Bound Model with Restricted Expansion

2011 ◽  
Vol 230-232 ◽  
pp. 920-924
Author(s):  
Kun Feng Li ◽  
Zi Chun Yang ◽  
Gui Feng Liu
Keyword(s):  
Reliability Index ◽  
Structural Reliability ◽  
Insufficient Data ◽  
Reliability Model ◽  
Gap Model ◽  
New Model ◽  
Model Based ◽  
Information Gap ◽  
Reliability Method

When insufficient data are available, probabilistic reliability method is invalid, but the non-probabilistic reliability method based on I-G (information-gap) model is a valid alternative. The most common I-G model, ellipsoidal-bound model, has been updated in this paper by acquiring information about span restrictions of uncertainty quantities and a corresponding non-probabilistic reliability index was proposed. The method for computing the reliability index was also given. The new model can reveal the influence of the span restriction of uncertainty quantities on structural reliability.

RELIABILITY OF CORRODED STIFFENED PLATE SUBJECTED TO UNIAXIAL COMPRESSIVE LOADING

2021 ◽  
Vol 162 (A4) ◽  
Author(s):  
K Woloszyk ◽  
Y Garbatov
Keyword(s):  
Mechanical Properties ◽  
Reliability Index ◽  
Structural Reliability ◽  
Limit State ◽  
Plate Thickness ◽  
Thickness Reduction ◽  
Stiffened Plates ◽  
Stiffened Plate ◽  
Initial Imperfections ◽  
Subsequent Decrease

The work is focused on the reliability of corroded stiffened plates subjected to compressive uniaxial load based on the progressive collapse approach as stipulated by the Common Structural Rules for Bulk Carriers and Oil Tankers, employing the limit state design. Two different cases have been investigated. In the first model, the corrosion degradation led to uniform thickness loss, whereas the mechanical properties were unchanged, as given in the Rules. In the second model, the plate thickness degradation was followed by mechanical properties reduction. The uncertainties related to the mechanical properties, thicknesses, and initial imperfections of the corroded stiffened plate were taken into account. Several initial design solutions of stiffened plates, as well as different severity levels of corrosion degradation were investigated. The results show that structural reliability significantly decreases with corrosion development, especially when in addition to the initial imperfections and corrosion plate thickness reduction, corroded plate surface roughness and the changes in the mechanical properties were considered. The uncertainties, their origins and confidence levels are discussed. It was found that non-linear time-dependent corrosion degradation accounting not only for the thickness reduction due to corrosion wastage but also the subsequent decrease of mechanical properties lead to a significant reduction in the reliability index. Additionally, it was defined that the reliability estimate is very sensitive to the uncertainties related to the initial thickness and the spread of corrosion degradation as a function of the time. Incorporating the probability of corrosion detection into the original reliability model introduces additional information about the validity of structural degradation that may lead to a higher beta reliability index estimate compared to the original model.

A Modification to HL-RF Method for Computation of Structural Reliability Index in Problems with Skew-distributed Variables

2017 ◽  
Vol 22 (8) ◽  
pp. 2899-2905 ◽  
Author(s):  
Mohsen A. Shayanfar ◽  
Mohammad A. Barkhordari ◽  
Mohammad A. Roudak
Keyword(s):  
Reliability Index ◽  
Structural Reliability

Program Design of Gravity Retaining Wall Structural Reliability with Engineering Materials Base on Matlab Software

2013 ◽  
Vol 648 ◽  
pp. 166-169
Author(s):  
Yun Lian Song ◽  
Jian Ran Cao ◽  
Si Li
Keyword(s):  
Probability Theory ◽  
Structural Reliability ◽  
Retaining Wall ◽  
Retaining Walls ◽  
Random Parameters ◽  
Reliability Indices ◽  
Material Parameters ◽  
Gravity Retaining Wall ◽  
Reliability Calculation ◽  
Engineering Materials

Reliability problem for gravity retaining wall constructed by new engineering materials is researched by using Monte Carlo probability theory, and the reliability program diagram of retaining wall is designed. Reliability calculation is programmed base on the anti-skid and anti-overturning safety failure mode of retaining wall. On the basis of known the probabilistic characteristics of the random parameters such as wall dimensions, material parameters, external load, and so on, and the program can automatically calculate the anti-sliding and anti-overturning failure probability and reliability indices. The research content and compiled program provide convenient reliability calculation method for the design of actual retaining walls constructed by new engineering materials.

System Reliability of Existing Jacket Platform in Malaysian Water (Failure Path and System Reliability Index)

2014 ◽  
Vol 567 ◽  
pp. 307-312 ◽  
Author(s):  
V. John Kurian ◽  
Mohamed Mubarak Abdul Wahab ◽  
T.S. Kheang ◽  
Mohd Shahir Liew
Keyword(s):  
System Reliability ◽  
Reliability Index ◽  
Structural Reliability ◽  
Pushover Analysis ◽  
Probability Of Failure ◽  
Jacket Platform ◽  
First Order ◽  
Failure Path ◽  
Reliability Method ◽  
Two Parameters

The objective of this work is to determine the structural reliability of an existing jacket platform in Malaysia, by determining the system probability of failure and its corresponding reliability index. These two parameters are important indicators for assessing the integrity and reliability of the platform, and will point out whether the platform is suitable for continued operation. In this study, pushover analysis is used to determine possible failure paths of the structure, while First Order Reliability Method (FORM) and Simple Bound Formula are used to determine the failure probability and reliability index. Three failure paths of the platform are established. The reliability index of these paths is found with the highest Reliability Indexto be 18.82 from the 315-degree path, while the system reliability index is 9.23. This illustrates that the platform is robust and the chances of collapse is very small.

Reliability-based design criteria for timber bridges in Ontario

1986 ◽  
Vol 13 (1) ◽  
pp. 1-7 ◽  
Author(s):  
Andrzej S. Nowak ◽  
Raymond J. Taylor
Keyword(s):  
Reliability Index ◽  
Structural Reliability ◽  
Structural Safety ◽  
Design Code ◽  
Bridge Design ◽  
Limit States ◽  
Acceptance Criterion ◽  
Reliability Based Design ◽  
Load And Resistance Factor ◽  
Timber Bridges

The new Ontario Highway Bridge Design Code (OHBDC) is based on limit states theory and therefore uses a load and resistance factor format. This paper deals with the development of the basis for the timber bridge design provisions (OHBDC). Three structural systems are considered: sawn timber stringers, laminated nailed decks, and prestressed laminated decks. The latter system has been successfully used in Ontario for the last 7 years.The acceptance criterion in calculation of load and resistance factors is structural reliability. It is required that bridges designed using the new code must have a reliability equal to or greater than a preselected target value. Reliability is measured in terms of the reliability index. The safety analysis is performed for a structural system rather than for individual members. The live load model was developed on the basis of available truck survey data. Material properties are based on extensive in-grade test results. Numerical examples are included to demonstrate the presented approach. Key words: bridge deck, design code, prestressed timber, reliability, reliability index, stringers, structural safety, timber bridges.

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