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

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 introdu...

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Bibliographic Details
Published inNonlinear dynamics Vol. 92; no. 2; pp. 699 - 708
Main Authors Rong, Bao, Lu, Kun, Rui, Xiao-Ting, Ni, Xiao-Jun, Tao, Ling, Wang, Guo-Ping
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.04.2018
Springer Nature B.V
Subjects
Algorithms
Automotive Engineering
Cantilever pipe
Classical Mechanics
Computer simulation
Computing time
Control
Conveying
Deformation
Differential equations
Dynamic characteristics
Dynamical Systems
Elastic supports
Engineering
Mathematical analysis
Mechanical Engineering
Nonlinear analysis
Nonlinear dynamics
Original Paper
Pipes
Simulation
Transfer matrices
Vibration
Transfer matrix method
Nonlinear oscillation
Multibody system dynamics
Absolute nodal coordinate formulation
Pipe conveying fluid
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Summary: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.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-018-4084-6