A Non-probabilistic Reliability Analysis Method for Structural Fracture Based on Fractal Theory

An analysis method and technology of fractal theory, applied in the direction of electrical digital data processing, special data processing applications, instruments, etc., can solve problems such as model errors, affecting the determination of structural reliability, etc.

Inactive Publication Date: 2018-06-29
BEIHANG UNIV
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  • Abstract
  • Description
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Problems solved by technology

Such human factors will bring model errors, thus affecting the determination of structural reliability.
Therefore, these two models have certain limitations in the analysis of structural reliability problems

Method used

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  • A Non-probabilistic Reliability Analysis Method for Structural Fracture Based on Fractal Theory
  • A Non-probabilistic Reliability Analysis Method for Structural Fracture Based on Fractal Theory
  • A Non-probabilistic Reliability Analysis Method for Structural Fracture Based on Fractal Theory

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Embodiment

[0178] In order to understand more fully the characteristics of the invention and its applicability to engineering practice, the present invention aims at such as Figure 7 A non-probabilistic reliability analysis is performed on the elastic plate shown with a unilateral crack. Figure 7 The width of the medium elastic plate is w, the height h=200cm, the crack length is a, and the elastic modulus E=2×10 5 MPa, Poisson's ratio ν = 0.167, under the action of the uniform Brass force F. Due to manufacturing and measurement errors, the crack length a, the uniform tensile force F and the elastic plate width w are interval uncertainty parameters, and the central value of the crack length a is a c =5cm, the central value of the uniform pull force F is F c =0.3kN / cm, the central value of the elastic plate width w is w c =40cm, and there is a=[a c -βa c ,a c +βa c ], F=[F c -βF c , F c +βF c ], w=[w c -βw c ,w c +βw c ], β is the variable coefficient of variation, which i...

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Abstract

The invention discloses a structure fracture non-probability reliability analysis method based on the fractal theory. The method includes the steps that the uncertainty effect of parameters such as load, material characteristics and geometric dimensions under limited sample conditions is considered first, an uncertainty parameter section is quantified, and points are collocated in the uncertainty parameter section; a self-similarity grid and a conventional grid discretization cracked structure are adopted, a point collocation section stress intensity factor analysis model of the cracked structure is set up, and the section range of stress intensity factors is obtained through solution; the uncertainty effect of fracture tenacity is considered, and a non-probability stress intensity factor intervene model is set up to obtain reliability of the cracked structure. The structure reliability is obtained accurately and efficiency, and objective and effective data is provided for structural design.

Description

technical field [0001] The invention is suitable for reliability analysis of structural fractures, and in particular relates to a structural fracture reliability analysis method based on fractal theory and non-probability set theory. Background technique [0002] In engineering practice, mechanical equipment and metal structure components often have macroscopic cracks caused by manufacturing, use or defects of the material itself. At this time, to determine whether the component can continue to be used safely, the most important thing is to judge whether the crack will expand unstable and cause damage to the structure and equipment. The stress intensity factor reflects the stress field and displacement field near the crack tip, and is a measure of the crack growth tendency and crack growth driving force. From the point of view of fracture mechanics: if the stress intensity factor at the crack tip is less than the fracture toughness of the material, the component is safe; ot...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/50
CPCG06F30/17
Inventor 邱志平孙佳丽王晓军王磊吕峥
Owner BEIHANG UNIV
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