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Non-probability interval interference time-varying reliability analysis method

A reliable, non-probabilistic technology, applied in special data processing applications, instruments, electrical and digital data processing, etc., can solve the problem of unconvincing analysis results, and achieve the effect of improving the conservative analysis.

Pending Publication Date: 2019-11-19
PLA PEOPLES LIBERATION ARMY OF CHINA STRATEGIC SUPPORT FORCE AEROSPACE ENG UNIV
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Problems solved by technology

However, the probabilistic reliability analysis relies heavily on the probability density function of the parameters, if the probability density function is subjectively assumed due to lack of data, the analysis results will not be convincing

Method used

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  • Non-probability interval interference time-varying reliability analysis method
  • Non-probability interval interference time-varying reliability analysis method
  • Non-probability interval interference time-varying reliability analysis method

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Embodiment Construction

[0029] The non-probability interval interference time-varying reliability analysis method of the present invention is further described in detail in conjunction with the accompanying drawings.

[0030] Step 1. Determine the structural stress and strength interval variables. Based on the non-probability interval theory, the structural stress and strength at any time are converted into the form of interval variables.

[0031] is a closed real interval, x and is the upper and lower bounds of the interval, if The interval operation rule can be expressed as

[0032]

[0033]

[0034]

[0035]

[0036] T is the service period of the structure, and t∈[0,T] is the service time of the structure. Structural strength R and structural stress S Under the influence of uncertain factors, the state function of the structure can be expressed as

[0037] M=R(X,t)-S(Y,t) (5)

[0038] In the formula: M>0 represents a completely reliable state, M1 ,X 2 ,...,X n} is the para...

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Abstract

According to a non-probabilistic interval interference time-varying reliability analysis method provided by the invention, the time-varying reliability of a structure can be evaluated without specificdistribution of parameters, and a reference is provided for structural time-varying reliability analysis. Firstly, based on a non-probability interval theory, structural stress and strength at any moment are converted into an interval variable form; secondly, in combination with a stress-strength interference theory, structural stress and strength interval are converted into a standardized interval, and a relationship between a structural limit state function and the standardized interval is changed at different moments; and an interval interference time-varying reliability index eta belonging to [0, + infinity] is defined according to the relationship between the structure limit state function and the standardized interval. Wherein eta = 0 indicates that the storage tank is in a failurestate, 0 < eta < 1 indicates the reliability of the storage tank, and eta > = 1 indicates the safety margin of the storage tank. Finally, comparative analysis is made with an interval reliability andstress-intensity interference reliability method to verify the effectiveness of the non-probabilistic interval interference time-varying reliability evaluation method provided by the invention.

Description

technical field [0001] The invention belongs to the field of structural reliability analysis, and is a non-probability interval interference time-varying reliability analysis method. Background technique [0002] During the service period of the structure, due to the influence of factors such as corrosion, aging and external random loads, the reliability of the structure is no longer a single value under the traditional model, and usually shows time-varying characteristics. [0003] The time-varying reliability analysis of structures is mainly based on the method of spanning ratio, but due to its complex integral calculation, it is difficult to effectively apply it in engineering practice. Methods based on probabilistic stochastic processes such as Monte Carlo, equivalent stochastic process transformation, adaptive sampling based on cross-entropy, and stress-strength interference are also commonly used methods in time-varying reliability analysis. However, probabilistic rel...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
Inventor 辛腾达赵玉龙段永胜崔村燕赵继广
Owner PLA PEOPLES LIBERATION ARMY OF CHINA STRATEGIC SUPPORT FORCE AEROSPACE ENG UNIV
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