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Non-probabilistic trusted Bayesian structure reliability analysis method

An analysis method and reliability technology, which is applied in special data processing applications, instruments, electrical digital data processing, etc., can solve the problem that the reliability fails to give the confidence degree, the probability confidence reliability depends on the determination of the probability distribution function and the number of samples, etc. question

Active Publication Date: 2021-03-26
BEIHANG UNIV
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Problems solved by technology

[0005] The technical problem to be solved by the present invention is: to overcome the problem that the traditional probabilistic confidence reliability is overly dependent on determining the probability distribution function and the number of samples, and to solve the problem that the reliability calculated by the currently developed non-probabilistic reliability method fails to give a confidence degree

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  • Non-probabilistic trusted Bayesian structure reliability analysis method
  • Non-probabilistic trusted Bayesian structure reliability analysis method
  • Non-probabilistic trusted Bayesian structure reliability analysis method

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Embodiment

[0106] In order to understand more fully the characteristics of the invention and its applicability to engineering practice, the present invention is based on such image 3 The shown cantilever beam structure is analyzed and calculated for non-probabilistic credible Bayesian reliability. The cantilever beams are respectively at a distance from the fixed end b 1 = 2.0m, b 2 = The position of 4.0m is subjected to concentrated force P 1 and P 2 , and the load P 1 It is known that it is 5KN. The ultimate bending moment M of the cantilever beam structure 0 Harmony and Concentration P 2 is an uncertain quantity, the a priori estimates of the center value of the interval and the radius of the interval are shown in Table 1. Introduce three sets of concentration P 2 and ultimate bending moment M 0 The samples are listed in Table 2 (the sample size is 4, 8, 16). According to the sample information and the prior interval of the uncertain variable, the integral area and the expr...

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Abstract

The invention discloses a non-probabilistic trusted Bayesian structure reliability method. The method comprises the steps: describing an interval variable through two parameters: an interval central value and an interval radius, and expressing the parameter through an interval; considering the limitation of the number of samples and the requirements of model updating, parameters are updated by introducing a Bayesian updating method so as to realize updating of a variable interval. In the parameter updating process, the confidence level is introduced, so that the reliability obtained through calculation has certain credibility. The non-probabilistic method provided by the invention is compared with a traditional confidence reliability method and a probabilistic trusted Bayesian reliabilitymethod with non-information prior distribution, and the feasibility and effectiveness of the method are verified. The reliability analysis method can be used for reliability evaluation of structural optimization design and structural safety in the future.

Description

technical field [0001] The present invention relates to the fields of reliability-based structural optimization design and structural reliability analysis and evaluation, especially in consideration of the difficulty in implementing model updates and the inability to provide the credibility of calculation results in current calculation methods for structural reliability. Under the condition of sample problem, based on Bayesian update theory, a new quantification method is proposed for interval uncertainty variable, which is used to calculate structural non-probabilistic reliability and double-index safety factor. Background technique [0002] Structural reliability assessment is widely used in structural optimization design and structural safety evaluation. Structural reliability refers to the description of the structural performance of the target structure within a period of time under given conditions, usually expressed by the probability that the structure is safe in the...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F30/20G06F30/15G06F119/02G06F119/14
CPCG06F30/20G06F30/15G06F2119/02G06F2119/14
Inventor 李云龙武鹏牛峥刘振臣王晓军邱志平
Owner BEIHANG UNIV
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