Modular methodology applied to the nonlinear modeling of a pipe conveying fluid A novel finite element method based approach

This paper proposes an extension of a modular modeling approach, originally developed for lumped parameter systems, to the derivation of FEM-discretized equations of motion of one-dimensional distributed parameter systems. This methodology is characterized by the use of a recursive algorithm based o...

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Veröffentlicht in:Journal of the Brazilian Society of Mechanical Sciences and Engineering Jg. 40; H. 2
Hauptverfasser: Orsino, Renato Maia Matarazzo, Pesce, Celso Pupo
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2018
Schlagworte:
Engineering
Mechanical Engineering
Technical Paper
Finite element method
Modular modeling
Analytical mechanics
Mathematical modeling
Pipe conveying fluid
ISSN:1678-5878, 1806-3691
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Zusammenfassung:This paper proposes an extension of a modular modeling approach, originally developed for lumped parameter systems, to the derivation of FEM-discretized equations of motion of one-dimensional distributed parameter systems. This methodology is characterized by the use of a recursive algorithm based on projection operators that allows any constraint condition to be enforced a posteriori. This leads to a modular approach in which a system can be conceived as the top member of a hierarchy in which the increase of complexity from one level to the parent one is associated to the enforcement of constraints. For lumped parameter systems this allows the implementation of modeling procedures starting from already known mathematical models of subsystems. In the case of distributed parameter systems, such a novel methodology not only allows to explore subsystem-based modeling strategies, but also makes it possible to propose formulations in which compatibility and boundary conditions can be enforced a posteriori . The benchmark chosen to explore these further possibilities is the classical problem of a cantilevered pipe conveying fluid. Taking a pipe made of a linear-elastic material, allowing geometric nonlinearities and assuming an internal plug-flow, a Hamiltonian derivation of FEM-discretized equations of motion is performed according to this novel approach. Numerical simulations are carried out to address the nonlinear model obtained.
ISSN:1678-5878
1806-3691
DOI:10.1007/s40430-018-0994-y