Spatial and temporal variation reliability analysis method based on polynomial chaos expansion

A technology of spatio-temporal change and analysis method, applied in constraint-based CAD, character and pattern recognition, design optimization/simulation, etc., can solve the problem of ignoring the influence of space variables, being affected by time and space variables, and reliability of time and space changes There are few problems such as performance analysis, and the effect of improving computing efficiency and reducing computing requirements

Inactive Publication Date: 2022-03-01
NANJING UNIV OF AERONAUTICS & ASTRONAUTICS +1
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Problems solved by technology

[0004] Although the time-varying reliability method considers the influence of time factors on the structure, it ignores the influence of space variables
In practice, however, structure may be affected by both temporal and spatial variables
In such cases, time-dependent reliability methods may not be applicable or accurate
So far, little research has been done on reliability analysis with temporal and spatial variation

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  • Spatial and temporal variation reliability analysis method based on polynomial chaos expansion
  • Spatial and temporal variation reliability analysis method based on polynomial chaos expansion
  • Spatial and temporal variation reliability analysis method based on polynomial chaos expansion

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Embodiment Construction

[0022] The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only a part of the embodiments of the present invention, but not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative efforts shall fall within the protection scope of the present invention.

[0023] The invention discloses a reliability analysis method of space-time variation based on polynomial chaotic expansion, which considers the influence of time and space variables on the structure, and converts the response hypersurface of the structure in the time domain and the space domain into the space response extreme value in time. For the trajectory on the domain, first discretize the time, use the sequential quadratic progra...

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Abstract

The invention discloses a spatio-temporal variation reliability analysis method based on polynomial chaos expansion, which comprises the following steps of: firstly, generating a sample of a random variable by adopting Latin hypercube sampling, then dispersing the time variable into a series of discrete time moments, and obtaining a spatial response extreme value sample of the discrete time moments by utilizing sequential quadratic programming; then, on the basis of the samples, a substitution model of a spatial response extreme value is constructed by using PCE, so that a response hypersurface of a structure in a time domain and a spatial domain is converted into a trajectory of the spatial response extreme value in time, and finally, Monte Carlo simulation is performed on the constructed polynomial chaos expansion agent model to calculate a failure probability so as to realize reliability analysis.

Description

technical field [0001] The invention relates to the field of reliability evaluation, in particular to a reliability analysis method of space-time variation based on polynomial chaotic expansion. Background technique [0002] Uncertainty is a potential defect due to lack of knowledge in any state of product design and operation that can lead to large deviations or unpredictability of the structural response. Reliability methods are useful tools for quantifying and managing product uncertainty. Reliability, as a basic quality indicator in engineering, can be defined as the probability that a product performs its intended function within a specified time and under specified conditions. In the past decades, many typical reliability methods have been developed, such as first-order reliability method, second-order reliability method (SORM), response surface method (RSM), subset simulation method (SS) and Monte Carlo Simulation (MCS) et al. It is worth noting that MCS is the mos...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F30/27G06F17/15G06F111/04G06F119/02
CPCG06F30/27G06F2119/02G06F2111/04G06F18/214
Inventor 南航曾振兴管晓乐李洪双
Owner NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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