A procedure to restore measurement induced violations of reciprocity and passivity for FRF-based substructuring

Contartese, Nicola; Nijman, Eugène; Desmet, Wim

doi:10.1016/j.ymssp.2021.108556

Cited by 5 publications

(2 citation statements)

References 30 publications

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“…Here, it can be assumed that the following relationship holds for the transfer function by the well-known Maxwell's reciprocity theorem [25].…”

Section: Measurement Methodsmentioning

confidence: 99%

“…The concept of the proposed method is to substitute the multipoint sensor measurement with a multipoint hammering excitation through the reciprocity theorem, which exchanges the measured and excited points. In modal identification, the reciprocity of the frequency response function (FRF) holds, and, theoretically, modal identification based on multipoint measurement in [20,21] can be replaced with multipoint hammering [23][24][25]. In addition, the SMAW measurement [21] for estimating the wave propagation characteristics requires the reciprocity of wave propagation.…”

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confidence: 99%

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Identification of Vibration Modes and Wave Propagation of Operational Rails by Multipoint Hammering and Reciprocity Theorem

2022

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Vertical bending vibration modes and rail wave propagation, including the damping characteristics, are the factors that cause rail corrugation. However, the ability to identify actual railways has been limited because of the huge number of sensors required for field tests. In this study, a novel and field-applicable method for identifying rail vibration modes and wave propagation characteristics is developed by multipoint hammering and the reciprocity theorem instead of multipoint measuring. Additionally, the proposed method is applied to an actual rail with a direct fastening track system on a bridge that has corrugation with a wavelength of approximately 0.04 m. As a result, the wavelength (wavenumber)-, group velocity-, and distance damping (attenuation) frequency relationship of the wave propagation is clarified in addition to the rail frequencies and mode shapes up to approximately 1500 Hz, including the pinned-pinned mode. Finally, the identified wavelength-frequency relationships and the measured rail irregularity can empirically demonstrate that the generated corrugation on the rail is produced by wave interference on the two axles in the bogie.

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“…Here, it can be assumed that the following relationship holds for the transfer function by the well-known Maxwell's reciprocity theorem [25].…”

Section: Measurement Methodsmentioning

confidence: 99%