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A set interference type reliability measurement method, system and device and a medium

A measurement method and interference-type technology, applied in the field of structural reliability measurement, can solve problems such as theoretical errors, distortion of reliability simulation calculation results, and unreliability, and achieve wide application, accuracy and credibility, and theoretical rigor. Effect

Active Publication Date: 2019-06-14
NAVAL UNIV OF ENG PLA
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Problems solved by technology

According to the existing literature, the sampling method for arbitrary dimensional (hyper) ellipsoidal convex sets is often realized by uniform sampling of spherical coordinates. However, this method implies theoretical errors. Uniformly distributed samples in spherical coordinates After transforming to the orthogonal coordinate system, it no longer obeys the uniform distribution, and the reliability simulation calculation results based on this method must be distorted and unreliable

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  • A set interference type reliability measurement method, system and device and a medium
  • A set interference type reliability measurement method, system and device and a medium
  • A set interference type reliability measurement method, system and device and a medium

Examples

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Effect test

Embodiment 1

[0111] Embodiment one, as figure 1 As shown, a measurement method of set interference type reliability includes the following steps:

[0112] S1: Establish a convex set model describing structural uncertainty, and divide the convex set model into an interval model and a hyperellipsoid model;

[0113] S2: Perform standardized transformation on the interval model and the hyperellipsoid model respectively to obtain a standardized interval model and a unit hypersphere model, and obtain a standardized limit state equation according to the standardized interval model and the unit hypersphere model;

[0114] S3: Perform uniform sampling on the standardized interval model and the unit hypersphere model according to the standardized limit state equation, respectively, to obtain interval model samples and hypersphere model samples;

[0115] S4: Obtain a composite sample of the convex set model according to the interval model sample and the hypersphere model sample, and calculate the se...

Embodiment 2

[0196] Embodiment two, such as Figure 5 As shown in , a measurement system of ensemble interference reliability, including modeling module, normalization transformation module, sampling module and calculation module;

[0197] The modeling module is used to establish a convex set model describing structural uncertainty, and divide the convex set model into an interval model and a hyperellipsoid model;

[0198] The standardized transformation module is used to perform standardized transformation on the interval model and the hyperellipsoid model respectively to obtain a standardized interval model and a unit hypersphere model, and obtain a normalized limit according to the standardized interval model and the unit hypersphere model Equation of state;

[0199] The sampling module is used to uniformly sample the standardized interval model and the unit hypersphere model according to the standardized limit state equation, respectively, to obtain interval model samples and hypersph...

Embodiment 3

[0203] Embodiment 3. Based on Embodiment 1 and Embodiment 2, this embodiment also discloses a measuring device for collective interference type reliability, including a processor, a memory, and a device stored in the memory and operable on the processor. A computer program on the computer program, when the computer program runs, it realizes as figure 1 The following steps are shown:

[0204] S1: Establish a convex set model describing structural uncertainty, and divide the convex set model into an interval model and a hyperellipsoid model;

[0205] S2: Perform standardized transformation on the interval model and the hyperellipsoid model respectively to obtain a standardized interval model and a unit hypersphere model, and obtain a standardized limit state equation according to the standardized interval model and the unit hypersphere model;

[0206] S3: Perform uniform sampling on the standardized interval model and the unit hypersphere model according to the standardized lim...

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Abstract

The invention relates to a set interference type reliability measurement method, system and device and a medium, and the method comprises the steps of building a convex set model which describes the uncertainty of a structure, and dividing the convex set model into an interval model and a hyper-ellipsoid model; performing standardized transformation on the interval model and the hyper-ellipsoid model respectively to obtain a standardized interval model and a unit hyper-sphere model, and obtaining a standardized limit state equation according to the standardized interval model and the unit hyper-sphere model; performing uniform sampling on the standardized interval model and the hyper-sphere model according to the standardized limit state equation to obtain an interval model sample and a hyper-sphere model sample; and obtaining a composite sample according to the interval model sample and the hyper-sphere model sample, and calculating set interference type reliability according to the standardized limit state equation and the composite sample. The sampling method is rigorous, effective, simple, convenient, practical and high in operability, and the measurement efficiency and precision of the interference reliability of the large complex structure set are effectively improved.

Description

technical field [0001] The invention relates to the field of structural reliability measurement, in particular to a measurement method, system, device and medium of collective interference reliability. Background technique [0002] In the structural reliability analysis and design, due to the complexity of the structural system itself and the limitations of people's understanding, there are many uncertainties, which often play a crucial role in the performance and response of the structure. Therefore, it is necessary to deal with these uncertainties reasonably and quantitatively. The traditional description of these uncertainties is based on probability theory, but due to the limitations of probability theory, non-probabilistic reliability theory has been developed in recent years. The mathematical basis of non-probabilistic reliability theory is convex set model. [0003] At present, there are also a lot of researches on measuring the reliability of structures based on non...

Claims

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Application Information

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IPC IPC(8): G06F17/50
CPCY02T90/00
Inventor 孙文彩杨自春杨立国王磊
Owner NAVAL UNIV OF ENG PLA
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