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Structural reliability analysis-oriented common dynamic tracking sequence sampling method

A dynamic tracking and reliability technology, applied in the direction of complex mathematical operations, etc., can solve problems such as lack of adaptability to different problems, insufficient use of iterative information, evaluation results not fed back to the training point in real time to obtain and stop updating the model, etc. achieve good adaptability

Active Publication Date: 2018-07-17
HUAZHONG UNIV OF SCI & TECH
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

However, the existing sampling strategies often rely too much on a certain proxy model and are not well adaptable to different problems; moreover, they do not make full use of the iterative information useful for reliability analysis when adding new training points. The evaluation results are not fed back to the acquisition of training points and stop updating the model in real time

Method used

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  • Structural reliability analysis-oriented common dynamic tracking sequence sampling method
  • Structural reliability analysis-oriented common dynamic tracking sequence sampling method
  • Structural reliability analysis-oriented common dynamic tracking sequence sampling method

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Embodiment 1

[0056] figure 1 The flow chart of the general dynamic tracking sequence sampling method for structural reliability analysis provided by the present invention includes five steps in total. This embodiment 1 introduces the operation steps of the analysis method of the present invention in detail with a two-dimensional application example as follows:

[0057] S1 Establish a reliability analysis model: analyze the failure mechanism of the structure to be tested, establish its limit state function, determine the random variables in the limit state function and the distribution information of the random variables, and establish the limit state function as follows:

[0058]

[0059] Among them, g(x) is the limit state function, x 1 and x 2 is a random variable, x 1 A normal distribution with a mean of 1.5 and a standard deviation of 1, x 2 Obey the normal distribution with a mean of 2.5 and a standard deviation of 1, that is, the distribution types of the two random variables a...

Embodiment 2

[0087] The present embodiment further illustrates the method of the present invention by carrying out reliability analysis to the roof truss, and adopts the analysis process of the method of the present invention as follows:

[0088] S1 establishes the limit state function of the roof truss, Image 6 (a)-(b) are the structural diagrams of the roof truss. The material of the upper chord and compression rod of the roof truss is reinforced concrete, and the material of the lower chord and tie rod is a certain type of steel. The uniformly distributed load q acts on the lower chord of the roof truss. The load can be converted to Image 6 (b) The nodal load shown in (b) is P=ql / 4. The failure mode of the truss is defined as the vertical deformation of the top node C is greater than 0.03m, and the limit state function of the truss force analysis is:

[0089]

[0090] Among them, Δ C Indicates the vertical deformation of node C, l is the length of the lower end of the truss, A ...

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Abstract

The invention belongs to the field of structural reliability analysis, and specifically discloses a structural reliability analysis-oriented common dynamic tracking sequence sampling method. The method comprises the following steps of: establishing a structural ultimate state function, and determining a random variable and random variable distribution information; constructing a random point, andconverting the random variable and the random point into a standard normal state to determine a target sampling area; constructing a training point, forming a training data set and establishing a proxy model; dividing the target sampling area and recognizing a most sensitive area; exploiting the most sensitive area to obtain a new training point, updating the training data set and the proxy model,and calculating a prediction failure probability; and calculating maximum relative errors of all the local areas and a variation coefficient of the prediction failure probability, and judging whetherto terminate the sampling or not according to the maximum relative errors and the variation coefficient so as to complete the structural reliability analysis. The method has the advantages of being simple in operation step, high in efficiency and strong in self-adaptability.

Description

technical field [0001] The invention belongs to the field of structural reliability analysis, and more specifically relates to a general dynamic tracking sequence sampling method oriented to structural reliability analysis. Background technique [0002] Reliability is a key probability index to measure the service performance of complex structures. Different from deterministic analysis, reliability analysis fully considers various uncertain factors affecting structural failure, such as material properties, loading conditions, processing technology, assembly environment, etc. In recent years, a series of structural reliability analysis theories and methods have been applied in aerospace, ocean-going equipment, infrastructure and other fields. With the increasing demand for structural service performance, high-reliability and complex structural equipment has become a trend towards high-end manufacturing in China. An important symbol of precision, and reliability analysis theor...

Claims

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Application Information

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IPC IPC(8): G06F17/18
CPCG06F17/18
Inventor 邱浩波蒋琛高亮陈力铭杨赞
Owner HUAZHONG UNIV OF SCI & TECH
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