Abstract
An experimental and theoretical investigation was conducted into the spatial motion of the self-excited oscillation of a pipe which is built-in at upper end and has an attached mass at the other. A certain characteristic mode of the pipe vibration is self-excited when the axial flow velocity in the pipe exceeds a certain value. For higher flow velocity, the two distinct eigen modes of the pipe can be simultaneously self-excited with two different natural frequencies, which called mixed-mode flutter. Equations governing amplitudes and the phases were derived and used to clarify nonlinear modal interactions numerically the above specific cases. It is theoretically clarified that the planes, on which second modal oscillation and the third modal oscillation are produced, are perpendicular. Furthermore experiments were conducted with the silicon rubber pipe conveying fluid. As a result, typical features of the mixed-mode flutter were confirmed qualitatively by experiments.
Keywords
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bajaj, A.K, Sethna, P.R.: Flow induced bifurcations to three-dimensional oscillatory motions in continuous tubes. SIAM J. Appl. Math. 44(2), 270–286 (1984)
Carr, J.: Applications of Center Manifold Theory. Springer, New York (1981)
Chamara, P.A., Coller, B.D.: A study of double flutter. J. Fluid Struct. 19, 863–879 (2004)
Copeland, G.S., Moon, F.C.: Chaostic flow-induced vibration of a flexible tube with end mass. J. Fluid Struct. 6, 705–718 (1992)
Païdoussis M.P.: Fluid-Structure Interactions Slender Structures and Axial Flow, vol. 1. Academic, San Diego (1998)
Païdoussis, M.P.: Some unresolved issue in fluid-structure interactions. J. Fluid Struct. 20, 871–891 (2005)
Païdousis, M.P., Semler, C.: Non-linear dynamics of a fluid-conveying cantilevered pipe with a small mass attached at the free end. Int. J. Non-linear Mech. 33(1), 15–32 (1998)
Steindl, A., Troger, H.: Nonlinear three-dimensional oscillations of an elastically constrained fluid conveying viscoelastic tube with O(2)-symmetry. Symp. Flow Indu. Vib. Noise 8(152), 47–62 (1992)
Yoshizawa, M., Suzuki, T., Takayanagi, M., Hashimoto, K.: Nonlinear lateral vibration of a vertical fluid-conveying pipe with end mass. JSME Int. J. 41(3), 652–661 (1998)
Acknowledgements
The authors would like to thank Messrs. J. AJIRO, H. FURUYA, and Y. SHIMADA for their useful discussion and Mr. M. YAMAMOTO for his kind assistance.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Yamashita, K., Yabuno, H., Hirose, Y., Yoshizawa, M. (2013). Mixed-Modal Self-Excited Oscillation of Fluid-Conveying Cantilevered Pipe with End Mass. In: Wiercigroch, M., Rega, G. (eds) IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design. IUTAM Bookseries (closed), vol 32. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5742-4_11
Download citation
DOI: https://doi.org/10.1007/978-94-007-5742-4_11
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-5741-7
Online ISBN: 978-94-007-5742-4
eBook Packages: EngineeringEngineering (R0)