Nonlinear Dynamics

, Volume 92, Issue 2, pp 699–708 | Cite as

Nonlinear dynamics analysis of pipe conveying fluid by Riccati absolute nodal coordinate transfer matrix method

  • Bao Rong
  • Kun Lu
  • Xiao-Ting Rui
  • Xiao-Jun Ni
  • Ling Tao
  • Guo-Ping Wang
Original Paper


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.


Pipe 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).


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© Springer Science+Business Media B.V., part of Springer Nature 2018

Authors and Affiliations

  1. 1.Institute of Plasma PhysicsChinese Academy of Sciences (ASIPP)HefeiPeople’s Republic of China
  2. 2.Institute of Launch DynamicsNanjing University of Science and TechnologyNanjingPeople’s Republic of China

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