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Analysis of the vibration of pipes conveying fluid

Zhang, Y.L. and Gorman, Daniel and Reese, Jason (1999) Analysis of the vibration of pipes conveying fluid. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 213 (8). pp. 849-860. ISSN 0954-4062

Reese_JM_Pure_Analysis_of_the_vibration_of_pipes_conveying_fluid_Aug_99.pdf - Final Published Version

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The dynamic equilibrium matrix equation for a discretized pipe element containing flowing fluid is derived from the Lagrange principle, the Ritz method and consideration of the coupling between the pipe and fluid. The Eulerian approach and the concept of fictitious loads for kinematic correction are adopted for the analysis of geometrically non-linear vibration. The model is then deployed to investigate the vibratory behaviour of the pipe conveying fluid. The results for a long, simply supported, fluid-conveying pipe subjected to initial axial tensions are compared with experimentally obtained results and those from a linear vibration model.