Uncertainty Quantification and Error Propagation Principle of Structural Flexibility with Time-Varying Dynamic Properties

Tian, Yongding; Zhang, Jian; Cai, Dexu

doi:10.1061/(asce)em.1943-7889.0002175

Cited by 1 publication

(2 citation statements)

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“…However, the mass matrix cannot be obtained precisely in the actual structure, even though the fine finite element model. Therefore, the Complex Mode Indicator Function (CMIF) method is employed to determine structural parameters (Tian et al, 2023; Xia et al, 2020b; Xue et al, 2022; Zhang J et al, 2014). Singular Value Decomposition is performed on the estimated displacement FRFs at each frequency line.where No and Ni represent output number and input number, respectively; [S(ω)] is the singular value matrix and [U(ω)] and [V(ω)] are the left singular and right singular vectors.…”

Section: Structural Flexibility Identificationmentioning

confidence: 99%

“…Impact vibration test is a typical forced vibration test technology, which utilises an impact device to excite medium-small span bridges (Catbas et al, 2006; Li et al, 2023; Tian et al, 2023; Xia et al, 2023; Xue et al, 2022; Zhang et al, 2015). The excitation data and response signals are collected by a pressure transducer mounted on the hammer head and some accelerometers mounted on the bridge.…”

Section: Introductionmentioning

confidence: 99%

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Bearing condition assessment of a simply elastic supported beam based on impact vibration testing

Xia,

Zhou,

Yang

et al. 2024

Advances in Structural Engineering

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The mechanical properties of bridge bearings gradually deteriorate over time, resulting from daily traffic loading and harsh environmental conditions. However, efficient detection of in-service bridge bearings is still challenging, especially in quantifying support stiffness. This study presents a bridge bearing condition assessment framework of a simply elastic supported beam based on impact vibration testing and structural flexibility identification. Firstly, the dynamic response equation of a simply supported beam with elastic boundary constraints is established. The modal orthogonality of Euler-Bernoulli beams and the corresponding overall matrix of undetermined coefficients are derived using the separate variable method. Subsequently, the flexibility matrix of the simply elastic supported beam is derived and verified in the cases of forward and inverse analysis, respectively. Furthermore, the vertical and rotational stiffness of the bearings are established based on the structural flexibility matrix. Finally, experimental verification is performed to identify the flexibility and the vertical support stiffness of the simply elastic supported beam based on impact vibration tests. The results indicate that the proposed the bearing condition assessment framework can straightforwardly quantify support stiffness.

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