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Decomposition method and calculation method for structure mechanism failure probability sensitivity, and application

A failure probability and calculation method technology, applied in calculation, probability CAD, special data processing applications, etc., can solve problems that cannot be used to measure the correlation and independence of input variables, etc.

Inactive Publication Date: 2018-11-06
NORTHWESTERN POLYTECHNICAL UNIV
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Problems solved by technology

The failure probability sensitivity calculated by the existing technology is the sensitivity of the joint action of the input variable correlation and independence, which cannot be used to measure the role of the input variable correlation and independence in the failure probability sensitivity analysis

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  • Decomposition method and calculation method for structure mechanism failure probability sensitivity, and application
  • Decomposition method and calculation method for structure mechanism failure probability sensitivity, and application
  • Decomposition method and calculation method for structure mechanism failure probability sensitivity, and application

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Embodiment Construction

[0037] Example embodiments will now be described more fully with reference to the accompanying drawings. Example embodiments may, however, be embodied in many forms and should not be construed as limited to the examples set forth herein; rather, these embodiments are provided so that this disclosure will be thorough and complete and will fully convey the concept of example embodiments to those skilled in the art. The described features, structures, or characteristics may be combined in any suitable manner in one or more embodiments. In the following description, numerous specific details are provided in order to give a thorough understanding of embodiments of the present disclosure. However, those skilled in the art will appreciate that the technical solutions of the present disclosure may be practiced without one or more of the specific details being omitted, or other methods, components, devices, steps, etc. may be adopted. In other instances, well-known technical solution...

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Abstract

The invention relates to the technical field of reliability and robustness analysis, and puts forward a decomposition method for structure mechanism failure probability sensitivity on the basis of a Copula function. The method comprises the following steps that: showing a multidimensional variable joint distribution function as a Copula function form so as to establish a relational expression, which is disclosed in the following diagram, of the multidimensional random variable joint distribution function and a marginal probability density function, wherein fX(x) is a joint probability densityfunction, C(u1,...,un) is the Copula function, and fXi(xi) is the marginal probability density function; and on the basis of the relational expression, decomposing the structure mechanism failure probability sensitivity into a sum of independent sensitivity and relevant sensitivity. By use of the method, the Copula function is introduced to describe the joint probability distribution of an input variable, the failure probability sensitivity is decomposed into the independent sensitivity and the relevant sensitivity so as to separate the influences of variable dependency and independence independently for the calculation of the failure probability sensitivity, and a technical method obtained by searching provides a theoretical basis for design personnel to measure the functions of input variable dependency and independence in the analysis of the failure probability sensitivity.

Description

technical field [0001] The present disclosure relates to the technical field of reliability and robustness analysis, in particular to a structural mechanism failure probability sensitivity decomposition method, calculation method and application. Background technique [0002] The failure probability is the probability that the organization cannot complete the predetermined task event under the specified conditions, and it is an important indicator to measure the reliability of the organization. Sensitivity analysis is to measure the contribution of variable uncertainty to the output of interest (such as output variance, distribution, failure probability, etc.), and to provide a basis for improving the output. Through the analysis of failure probability sensitivity, the relative importance of the input variable distribution parameters that determine structural failure can be obtained, thereby providing guidance for structural reliability analysis, prediction and optimization....

Claims

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F2111/08G06F30/20
Inventor 王攀岳珠峰谭世旺
Owner NORTHWESTERN POLYTECHNICAL UNIV
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