Journal of Jilin University(Engineering and Technology Edition) ›› 2021, Vol. 51 ›› Issue (6): 2087-2095.doi: 10.13229/j.cnki.jdxbgxb20210471

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Damage detection of truss structures based on elastic wave propagation and spectral element method

Fu-shou LIU1(),Qi WEI1,Wen-ting XU1,Guo-jin TAN2()   

  1. 1.College of Civil Engineering，Nanjing Forestry University，Nanjing 210037，China
    2.College of Transportation，Jilin University，Changchun 130022，China
  • Received:2021-05-23 Online:2021-11-01 Published:2021-11-15
  • Contact: Guo-jin TAN E-mail:liufs_nuaa@163.com;tgj@jlu.edu.cn

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Abstract:

Truss structures are prone to damages of components and joints after long-term service, so it is necessary to detect the damages of the structure accurately and timely. Considering the stiffness reduction of joints caused by damage, linear springs in six-axis directions are used to simulate the damaged joints, and the spectral element method based on Laplace transform is used to establish the dynamic model of truss structure with damaged joints. A narrow-band pulse excitation is applied to the truss structure to excite the propagation of high-frequency elastic wave in the structure. The time-domain response of the structure is obtained by using the numerical inverse Laplace transform method. The results show that, when the elastic wave passes through the component with damaged joints at both ends, the propagation will be hindered to a certain extent, resulting in the change of displacement amplitude of truss nodes and the delay of the arrival time of the first wave. By analyzing the change of elastic wave propagation in truss caused by joint damage, the damage detection of truss structure can be realized.

Key words: structural engineering, truss structure, elastic wave propagation, spectral element method, damage detection

CLC Number: 

  • O327

Fig.1

Truss member with damaged joints （Only the springs in xoz plane are depicted）"

Fig.2

Planar truss structure with damaged joints"

Table 1

Stiffness parameters of the damaged joints"

刚度系数数值
ku1、ku2/（107 N·m-1）1
kv1、kv2/（107 N·m-1）2
kw1、kw2/（107 N·m-1）3
kθx1、kθx2/（103 N·m·rad-1）1
kθy1、kθy2/（103 N·m·rad-1）2
kθz1、kθz2/（103 N·m·rad-1）3

Fig.3

Comparison of the results of the presented method and ANSYS"

Fig.4

Narrow-band impulse excitation"

Fig.5

Displacement at node 13、node 11 and node 9before and after damage （excitation isapplied at node 21）"

Fig.6

Displacement at node 11 and node 9 before and after damage （excitation is applied at node 22）"

Fig.7

Displacement at node 9 before and after damage when stiffness coefficients are magnified"

Fig.8

Displacement at node 9 before and after damage （ku is kept unchanged， other stiffnesscoefficients are magnified 10 000 times）"

Fig.9

Displacement at node 9 before and after damage （kw is kept unchanged， other stiffness coefficients are magnified 10 000 times）"

Fig.10

Displacement at node 9 before and after damage （kθy is kept unchanged，other stiffnesscoefficients are magnified 10 000 times）"

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