Structure reliability dynamic response surface method based on discriminant analysis

A technology of discriminant analysis and dynamic response, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve problems such as reducing computational cost

Inactive Publication Date: 2015-08-05
GUANGXI UNIV
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Problems solved by technology

[0008] The purpose of the present invention is to propose a dynamic response surface method for structural reliability based on discriminant analysis and classification for complex structural reliability problems of implicit nonlinear function functions. , to reduce the calculation cost under the premise of ensuring accuracy

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  • Structure reliability dynamic response surface method based on discriminant analysis
  • Structure reliability dynamic response surface method based on discriminant analysis
  • Structure reliability dynamic response surface method based on discriminant analysis

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[0056] The technical scheme of the invention will be described in detail below in conjunction with calculation examples and accompanying drawings.

[0057] Calculation example 1: The limit state equation of a certain structure is:

[0058] g(X)=exp[0.4(x 1 +2)+6.2)-exp[0.3x 2 +5.0] -200

[0059] where x 1 ,x 2 According to the standard normal distribution and independent of each other.

[0060] (1) In this example, the random variable is x 1 ,x 2 , which satisfy the standard normal distribution and are independent of each other, so there is no need for standardization and variable transformation.

[0061] (2) The Markov chain Monte Carlo method is used for sampling, and the candidate state points of the Markov chain are selected as the initial training sample points of the discriminant analysis classification model, and the function function value of each sample point is calculated through the limit state equation. If the function value is greater than 0, the state val...

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Abstract

A structure reliability dynamic response surface method based on discriminant analysis, comprising the steps as follows: determining a random variable; sampling via using Markov chain Monte Carlo method, determining an initial training sample point, calculating the function value of the initial training sample point, and determining status value thereof; establishing a training sample set and training a classification response surface to obtain a trained classification response surface; randomly sampling N sample points and estimating the status value, and then calculating failure probability; judging whether the failure probability meets condition of convergence, and stopping if the failure probability meets condition of convergence, otherwise, finding the failed sampling point, finding and calculating the function value of the most probable failure point and determining the status value; adding to the training sample set by using the most probable failure point and status value thereof as a new sample, and repeating the following steps until the condition of convergence is met. The method of the invention is simple in theory and efficient in calculation, which provides an efficient path for analyzing the reliability and precision of the complex structure that the single calculation thereof is time-consuming.

Description

technical field [0001] The invention relates to a reliability analysis method based on discriminant analysis, which is mainly aimed at analyzing the reliability of complex structures with implicit nonlinear function functions, and belongs to the technical field of structural reliability analysis. Background technique [0002] With the rapid development of China's economy and the continuous progress of science and technology, large and complex structures are widely used in practical engineering, and the safety of engineering structures has become a hot issue that people are more and more concerned about. Compared with other man-made products, engineering structures have different characteristics. Structural engineering construction costs a lot and has a long service life. As a place for people's production activities, its reliability is closely related to the safety of people's lives and property. As a country's infrastructure, engineering structures not only affect the natio...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
Inventor 苏国韶赵盈彭立锋燕柳斌
Owner GUANGXI UNIV
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