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A Bayesian Resampling Method for Solving Structural Failure Probability Function

A technology of failure probability and Bayesian formula, applied in the field of structural failure probability, can solve problems such as the inability to meet the requirements of engineering structure solution accuracy and efficiency, and achieve the effect of large solution efficiency

Inactive Publication Date: 2020-11-03
XIAMEN UNIV
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  • Abstract
  • Description
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Problems solved by technology

However, these methods are still unable to meet the requirements of engineering structures for solution accuracy and efficiency.

Method used

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  • A Bayesian Resampling Method for Solving Structural Failure Probability Function
  • A Bayesian Resampling Method for Solving Structural Failure Probability Function
  • A Bayesian Resampling Method for Solving Structural Failure Probability Function

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Embodiment Construction

[0027] In order to clearly illustrate the technical characteristics of the present invention, the present invention will be described in detail below through specific implementation modes and in conjunction with the accompanying drawings.

[0028] Taking the problem of solving the failure probability function of the front axle of an automobile as an example, the specific implementation method of the present invention is described. The front axle is an important part of the car's load-bearing, and it is mostly designed as an I-beam structure (such as figure 1 shown), because the I-shaped section can increase the bending strength of the front axle and reduce the weight of the front axle. It is known that the maximum normal stress and shear stress of the front axle are respectively σ=M / W x and τ=T / W ρ , where M and T are bending moment and torque, and W ρ =0.8bt 2 +0.4[a 3 (h-2t) / t] are the section coefficient and polar section coefficient, respectively. The limit state f...

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Abstract

The invention discloses a Bayesian resampling method for solving structural failure probability functions, and relates to structural failure efficiency. The method comprises the following steps of: (1) assuming design parameter prior distribution; (2) pre-sampling a failure sample; (3) carrying out Bayesian resampling; (4) fitting parameter condition distribution; and (5) estimating a calculationfailure probability function. According to the method, repeated reliability analysis of failure probability function solution is overcome, a small amount of information is obtained through carrying out sampling for one time, and the estimation of the failure probability function is deduced by utilizing a Bayes-based resampling technology, so that the calculation cost is decreased and the structural failure probability function solution efficiency is improved.

Description

technical field [0001] The invention relates to structural failure probability, in particular to a Bayesian re-sampling method for solving structural failure probability function based on Bayesian formula. Background technique [0002] In the reliability optimization design of structures, it is usually necessary to study the relationship between failure probability and design parameters. This relationship is defined as the failure probability function, that is, the probability of structural failure as a function of the parameters. However, in practical applications, it is difficult to directly obtain the explicit expression of the failure probability function of the design parameters for general structures because of the huge computational cost. Usually, this requires repeated reliability analysis under different design parameter values, and each reliability analysis needs to repeatedly calculate the value of the limit state function. The key point is that the calculation o...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/15
CPCG06F17/15
Inventor 袁修开王瑜陈斌
Owner XIAMEN UNIV
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