Nonlinear dynamics analysis of pipe conveying fluid by Riccati absolute nodal coordinate transfer matrix method
- 119 Downloads
Based on the absolute nodal coordinate (ANC) formulation and transfer matrix method (TMM), a novel efficient Riccati ANC–TMM is applied to nonlinear dynamics analysis of pipe conveying fluid with large deformations. By deducing the new transfer equations of pipe elements in the ANC frame and introducing Riccati transform technology into the dynamics solution algorithm, the nonlinear dynamics of pipe conveying fluid can be calculated highly efficient and stable. An illustrative comparison simulation of a cantilever pipe conveying fluid by using this method and ordinary ANC method is presented, and its critical fluid velocity and other nonlinear dynamics behavior are analyzed. Compared with ordinary ANC method, this method avoids the higher-order global differential or differential-algebra equations of the system, therefore, its computational efficiency could be improved essentially. It may be further extended to study nonlinear dynamic characteristics of a pipe conveying fluid under the condition of arbitrarily large overall motions and commonly elastic supports easily.
KeywordsPipe conveying fluid Transfer matrix method Absolute nodal coordinate formulation Nonlinear oscillation Multibody system dynamics
The research received the support of the Natural Science Foundation of China (Grant Nos. 11702292, 11605234) and the National Special Project for Magnetic Confinement Fusion Science (Grant No. 2015GB107000).
- 2.Paidoussis, M.P.: Fluid–Structure Interactions (Second Edition), Volume 1: Slender Structures and Axial Flow. Academic, San Diego (2014)Google Scholar
- 6.Ghaith, F.A., Khulief, Y.A.: Nonlinear dynamics of an extensible flexible pipe conveying fluid and subjected to external axial flow. In: ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference (IDETC/CIE2011), Washington, DC (2011)Google Scholar
- 12.Adelaja, A.O.: Temperature modulation of the vibrational responses of a flexible fluid-conveying pipe. Central Eur. J. Eng. 3(4), 740–749 (2013)Google Scholar
- 17.Liu, C., Tian, Q., Hu, H.Y.: Efficient computational method for dynamics of flexible multibody systems based on absolute nodal coordinate. Chin. J. Theor. Appl. Mech. 42(6), 1197–1204 (2010)Google Scholar
- 19.Younesian, D., Jafari, A.A., Serajian, R.: Effects of the bogie and body inertia on the nonlinear wheel-set hunting recognized by the hopf bifurcation theory. Int. J. Autom. Eng. 3(4), 186–196 (2011)Google Scholar
- 20.Serajian, R.: Parameters’ changing influence with different lateral stiffnesses on nonlinear analysis of hunting behavior of a bogie. J. Meas. Eng. 1(4), 195–206 (2013)Google Scholar
- 23.Cai, F.C., Ye, F.G.X.H., Huang, Q.: Analysis of nonlinear dynamic behavior of pipe conveying fluid based on absolute nodal coordinate formulation. J. Vib. Shock 30(6), 143–146 (2011)Google Scholar
- 25.Meijaard, J.P., Hakvoort, W.B.J.: Modelling of fluid-conveying flexible pipes in multibody systems. In: Ambr’osio, J., et al. (eds.) 7th EUROMECH Solid Mechanics Conference, Lisbon (2009)Google Scholar
- 26.Ma, C., Wei, C., Tang, L., et al.: A study of lagrangian fluid element based on absolute nodal coordinate formulation and its application in liquid sloshing. Eng. Mech. 32(12), 58–67 (2015)Google Scholar
- 30.Horner, G.C.: The Riccati transfer matrix method. Ph.D. Dissertation, University of Virginia, Richmond (1975)Google Scholar