A Damage Identification Method for Simply Supported Beams Based on the Curvature of Uniform Load Surface in Damage State

A technology of damage identification and surface curvature, applied in the direction of instrumentation, design optimization/simulation, calculation, etc., to achieve good results

Active Publication Date: 2021-05-11
XIANGTAN UNIV
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

Xu Dian and Yang Youfa used polynomial least squares to fit the flexibility curvature curve before damage, and used the damage effective area to identify the damage degree. This method can only qualitatively evaluate the damage degree

Method used

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  • A Damage Identification Method for Simply Supported Beams Based on the Curvature of Uniform Load Surface in Damage State
  • A Damage Identification Method for Simply Supported Beams Based on the Curvature of Uniform Load Surface in Damage State
  • A Damage Identification Method for Simply Supported Beams Based on the Curvature of Uniform Load Surface in Damage State

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Embodiment Construction

[0082] The technical solution of the present invention will be described in further detail below in conjunction with the accompanying drawings and specific embodiments.

[0083] 1 Damage identification method

[0084] 1.1 Curvature of uniform load surface in damage state

[0085] The flexibility matrix F of the structure can be obtained from the mode shape normalized by mass as follows:

[0086]

[0087] Where: Φ=[φ 1 ,φ 2 ,…,φ m ] is the mode matrix, m is the mode order, φ i =[φ i1 φ i2 … φ in ] T is the i-th mode shape vector, n is the number of extracted mode shape nodes, is a diagonal matrix, ω i is the natural frequency of the i-th mode.

[0088] The flexibility matrix of the damaged state structure is:

[0089]

[0090] The displacement of the structure under load can be calculated by the flexibility matrix:

[0091] w=F·P (3)

[0092] In the formula: w is the displacement, P is the load column vector.

[0093] When P is taken as the unit of unifo...

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Abstract

The invention discloses a simply supported beam damage identification method based on the curvature of the uniform load surface in the damage state. The method comprises the following steps: curvature of the uniform load surface in the damage state; displacement curve equation of the simply supported beam; curvature of the uniform load surface in the undamaged state; damage degree of identification. The invention only uses the flexibility matrix of the structural damage state to identify the damage degree of the simply supported beam, based on the fact that the displacement curve equation of the undamaged simply supported beam under uniform load is a quartic polynomial, and the quadratic polynomial least squares method is used to analyze the damage The curvature of the uniform load surface in the undamaged state is used for fitting, and the fitting curve is used to replace the curvature of the uniform load surface in the undamaged state for damage identification. The relationship between the curvature of the uniform load surface and the damage degree of the unit is theoretically deduced. Considering the single damage and multiple damage conditions, the cause of the error in the damage degree identification using the fitting curve is analyzed, and the corresponding correction method is given. The corrected The method can achieve more accurate quantification of the damage degree of simply supported beams.

Description

technical field [0001] The invention relates to a method for identifying damage of a simply supported beam, in particular to a method for identifying damage of a simply supported beam based on the curvature of a uniform load surface in a damaged state. Background technique [0002] In recent years, the use of structural flexibility matrix construction indicators for damage diagnosis has attracted widespread attention from scholars at home and abroad, and a variety of damage identification indicators based on structural flexibility matrices have also been developed. Curvature technology can amplify the discontinuity of the curve and make the small changes of the curve easier to detect. Therefore, many scholars have conducted research on the flexibility curvature. Most damage indicators require information before damage and can only be used for structural damage location and Qualitative response damage degree. For the case of no pre-damage information, Wang and Qiao proposed ...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/20G06F119/14
CPCG06F30/20G06F2119/06
Inventor 唐盛华苏彬建秦付倩周楠楚加庆简余罗承芳
Owner XIANGTAN UNIV
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