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Three-dimensional dynamics of supported pipes conveying fluid

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Abstract

This paper deals with the three-dimensional dynamics and postbuckling behavior of flexible supported pipes conveying fluid, considering flow velocities lower and higher than the critical value at which the buckling instability occurs. In the case of low flow velocity, the pipe is stable with a straight equilibrium position and the dynamics of the system can be examined using linear theory. When the flow velocity is beyond the critical value, any motions of the pipe could be around the postbuckling configuration (non-zero equilibrium position) rather than the straight equilibrium position, so nonlinear theory is required. The nonlinear equations of perturbed motions around the postbuckling configuration are derived and solved with the aid of Galerkin discretization. It is found, for a given flow velocity, that the first-mode frequency for in-plane motions is quite different from that for out-of-plane motions. However, the second- or third-mode frequencies for in-plane motions are approximately equal to their counterparts for out-of-plane motions, keeping almost constant values with increasing flow velocity. Moreover, the orientation angle of the postbuckling configuration plane for a buckled pipe can be significantly affected by initial conditions, displaying new features which have not been observed in the same pipe system factitiously supposed to deform in a single plane.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grants 11602090, 11622216, and 11672115).

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Authors and Affiliations

  1. Department of Mechanics, Huazhong University of Science and Technology, Wuhan, 430074, China

    L. Wang, T. L. Jiang & H. L. Dai

  2. Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment, Wuhan, 430074, China

    L. Wang, T. L. Jiang & H. L. Dai

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  1. L. Wang
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  2. T. L. Jiang
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  3. H. L. Dai
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Correspondence to H. L. Dai.

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Wang, L., Jiang, T.L. & Dai, H.L. Three-dimensional dynamics of supported pipes conveying fluid. Acta Mech. Sin. 33, 1065–1074 (2017). https://doi.org/10.1007/s10409-017-0718-z

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