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Two-damage quantitative identification method of rectangular and round section beam structure
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A circular cross-section, quantitative recognition technology, applied in special data processing applications, instruments, biological neural network models, etc., can solve the problems of no effective method, stay, etc.
Inactive Publication Date: 2012-06-27
GUILIN UNIV OF ELECTRONIC TECH
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However, the current waveletfinite element method still stays at the level of single damage diagnosis of beam structures, and there is no effective method for two damage diagnosis problems of beam structures with rectangular or circular cross sections.
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Embodiment 1
[0049] In this example, two damage quantitative identification methods for rectangular cross-section beam structures are presented. figure 1 The schematic front view of the two damaged beam structures shown is a cantilever beam fixedly supported at the left end, the length of the beam is L=565mm, and the elastic modulus E=2.06×10 11 N / m 2 , density ρ=7890kg / m 3 , Poisson's ratio μ=0.3.
[0050] 2 damages on the beam, e i (i=1, 2) is the position where the damage occurs, and the relative position β i = e i / L(i=1, 2). δ i (i=1, 2) represents the damage depth, that is, the degree of damage. In this example, the section of the damaged part of the rectangular section beam is as follows: figure 2 As shown, the height of the beam h=20mm, the width of the beam b=12mm, the relative depth of the damage here is α i = δ i / h(i=1, 2).
[0051] In this example, the implementation steps of the two damage quantitative identification methods for the rectangular cross-section beam ...
Embodiment 2
[0094] This example is a quantitative identification method for two damages of a circular cross-section beam structure. This example is a simply supported beam supported at both ends, and the beam structure is also as figure 1 As shown, the cross-section of the damaged part is shown as image 3 shown. The length of the beam is L=1000mm, the diameter of the circular section is d=50mm, the radius is r=d / 2, and the elastic modulus E=2.06×10 11 N / m 2 , density ρ=7860kg / m 3 , Poisson's ratio μ=0.3.
[0095] There are 2 damages on the beam structure, e i (i=1, 2) is the position where the damage occurs, and the relative position β i = e i / L(i=1, 2). δ i (i=1, 2) represents the damage depth, the relative depth of damage α i = δ i / d(i=1, 2), ξ is the abscissa, η is the ordinate, α i (ξ) is the damage depth function.
[0096] The specific implementation steps of the two damage quantitative identification methods for circular cross-section beam structures in this example a...
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Abstract
The invention discloses a two-damage quantitative identification method of a rectangular and round section beam structure, comprising the following steps: 1. building an interval B spline wavelet finite element model for two-damage quantitative identification of the beam structure, and obtaining a direct problem database for two-damage diagnosis; and 2. adopting the model obtained in the above step, and identifying whether two damages of the beam structure happen by a neural network transmission method as well as the position and the depth. In the mixed method of a wavelet finite element and a neural network, after the trained two-damage identification neural network of the beam structure is provided, the method can obtain the first fourth-order natural frequency of the practical beam structure only by experiments to reliably carry out two-damage quantitative identification on the rectangular and round section beam structure. The method is suitable for quantitative identification on the rectangular and round section beam structure which is widely used in engineering.
Description
technical field [0001] The invention belongs to the technical field of structural damage quantitative identification, and in particular relates to a method for quantitative identification of two damages of rectangular and circular cross-section beam structures. Background technique [0002] Structural damage is one of the most prominent hidden dangers of the working state structure. If it is not detected, diagnosed and eliminated in time, it will disrupt the normal production process. However, the mechanical structure is developing in the direction of lightness and exquisiteness, which makes accidents caused by damage and failure continue to occur in recent years, causing major economic losses and even casualties. Therefore, using simple and feasible techniques to determine the damage and defects inside the structure has become a topic of great concern and continuous exploration in the engineering field. [0003] Since any dynamical system can be regarded as a mechanical sy...
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