Vibration of Pipe Carrying Flowing Fluid

by P. Srinivasan, Asst. Prof.; Dept. of Mechanical Engrg., Indian Inst. of Sci., Bangalore, India,
V. Lakshminarayanan, Post-Grad. Student; Dept. of Mechanical Engrg., Indian Inst. of Sci., Bangalore, India,

Serial Information: Transportation Engineering Journal of ASCE, 1970, Vol. 96, Issue 2, Pg. 165-174

Document Type: Journal Paper

Abstract: The free-transverse vibrations for the fundamental model of a single span pipe with fluid flow are investigated for various boundary conditions and the frequency equation are solved exactly. Approximate solutions by two methods are indicated. The two proposed methods for finding the natural frequencies of the vibration of a pipe with flowing fluid are definitely simpler to use than other earlier methods. In the method proposed the governing differential equation is sovled for two conditions: (1) neglecting the mass of the pipe; and (2) neglecting the mass of the flowing fluid. The frequency of the combined system is found by Dunkerly's method. In another method by Ritz the frequency is computed directly by knowing the frequency of pipe having negligible pipe mass. The results are compared with experimentally determined values. There is fair agreement between theory and experiment in limited experimental range available for comparison.

Subject Headings: Pipelines | Fluid flow | Vibration | Pipe flow | Boundary conditions | Natural frequency | Agreements and treaties |

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