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Flexible multibody systems–fluid interaction
Author(s) -
Ortiz José L.,
Barhorst Alan A.,
Robinett Rush D.
Publication year - 1998
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19980215)41:3<409::aid-nme291>3.0.co;2-o
Subject(s) - slosh dynamics , multibody system , pendulum , equations of motion , fluid dynamics , double pendulum , fluid–structure interaction , hydroelasticity , work (physics) , differential equation , container (type theory) , computer science , nonlinear system , engineering , finite element method , mechanical engineering , classical mechanics , mathematics , mechanics , inverted pendulum , mathematical analysis , structural engineering , physics , quantum mechanics
Modelling the dynamics of a flexible multibody system coupled to a rigid container carrying a fluid with a free surface is addressed. The proposed methodology allows the analyst to implement all sort of non‐linearities inherent in the dynamics of the structure. Potential flow with modified Rayleigh damping is used to model the fluid. Non‐linear sloshing effects are considered and no simplifications are made on the field equations and boundary conditions. A set of first‐order differential equations for the motion of both the structure and the fluid are presented. Emphasis is placed on the point that the motion of the flexible multibody system is not prescribed but is found as part of the solution procedure. Some improvements are presented with respect to a previous introductory work by the authors. Detailed derivations and two numerical examples are presented: a flexible column supporting a rigid water tank (with a comparison using an approximate method) and a double flexible‐link pendulum coupled to a rigid container. © 1998 This paper was produced under the auspices of the U.S. Government and it is therefore not subjected to copyright in the U.S.