<p>In this paper, the acoustic and vibration propagation characteristic is investigated for periodic pipeline with crack damage. A transfer matrix method (TMM) is developed to investigate transverse Band Gap structures (BGs) of periodic pipeline with crack defects. Field transfer matrix is developed for pipeline with the consideration of fluid structure interaction, and point transfer matrix is derived for circumferential cracks by spring hinge model. The corresponding equivalent rotational stiffness is calculated by local flexibility coefficient method. The correctness of proposed model and calculation method is validated by frequency response function (FRF) for finite period. The investigations show that the existence of small periodic crack damage has little effect on BGs, while severe crack damage has significant influence on vibration propagation characteristic, no matter it exists in one element or periodic distributed. The comparison of FRF and BGs for different periodic structure could provide new idea for pipeline crack damage detection. The geometry parameter effect on BGs is directly related with equivalent rotational stiffness, and the crack damage location also changes the stiffness ratio of Bragg pipeline by affecting overall stiffness of damaged pipe element, resulting the change of band width of original BGs. The research enriches the theoretical and calculation TMM of acoustic vibration characteristic analysis for pipeline systems with crack damage, and provides some reference for the stability design analysis of periodic pipeline structures.</p>

Vibration Propagation Analysis of Periodic Pipeline With Crack Defects

Paper Proceedings: https://asmedigitalcollection.asme.org/PVP/PVP2021/volume/85314

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