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Complex pipelines may have various structural supports and boundary conditions, as well as branches. To analyse the vibrational characteristics of piping systems, frequency modelling and solution methods considering complex constraints are developed here. A fourteen-equation model and Transfer Matrix Method (TMM) are employed to describe Fluid-Structure Interaction (FSI) in liquid-filled pipes. A general solution for the multi-branch pipe is proposed in this paper, offering a methodology to predict frequency responses of the complex piping system. Some branched pipe systems are built for the purpose of validation, indicating good agreement with calculated results.
Xu, Y., Johnston, D. N., Jiao, Z., & Plummer, A. R. (2014). Frequency modelling and solution of fluid-structure interaction in complex pipelines. Journal of Sound and Vibration, 333(10), 2800-2822. https://doi.org/10.1016/j.jsv.2013.12.023