Bridge moving load and damage synergetic recognition method based on L1/2 regularization

Abstract

The invention discloses a bridge moving load and damage synergetic recognition method based on L1/2 regularization. The method includes the steps that a plurality of structural response measurement sensors such as an acceleration sensor, a displacement sensor and a strain sensor are arranged on a bridge according to the aim and accuracy requirement of bridge structure health monitoring; a finite element model of the bridge is established through beam elements; moving loads are equivalent to a linear combination of rectangular loads, and bridge damage is equivalent to element stiffness reduction; the moving loads are recognized through a Tikhonov regularization method under the condition that an element damage factor is given, a reconstructed response is calculated with the moving loads, the range of the residual L2 norm of a measured response and the reconstructed response is obtained through comparison, and an L1/2 penalty term is introduced to establish an objective function with the element damage factor as an optimized parameter; a constraint optimization problem is solved with a Matlab optimization toolbox, the corresponding damage factor is the structural damage recognition result when the objective function is the minimum, and correspondingly the moving loads worked out through Tikhonov regularization solving are the moving load recognition result.

Description

Technical field [0001] The invention belongs to the field of bridge structural health monitoring, and in particular relates to a L 1 / 2 Regularized beam bridge moving load and damage collaborative identification method. Background technique [0002] In the actual operation of the bridge after completion, it will be subjected to a variety of loads, of which the moving load is the most important one. Moving load mainly refers to the load on the bridge when vehicles pass, including: railway train load and highway vehicle load. With the passage of bridge operation time, various damages and performance degradation of the bridge structure will inevitably occur, leading to varying degrees of attenuation of the bridge's stiffness or bearing capacity. In order to ensure the safe operation of the bridge, it is necessary to grasp and monitor the real-time moving load of the bridge and the damage of the bridge structure. Therefore, it is particularly important to study the collaborative ide...

AI Technical Summary

Problems solved by technology

However, at present, the existing simultaneous identification methods usually do not consider the sparsity of structural damage in spatial distr

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