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Port-Hamiltonian model of a fluid-shell interaction problem

Fernández Núnez, Ignacio Port-Hamiltonian model of a fluid-shell interaction problem. (2015) [Mémoire]

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The port-Hamiltonian approach is an innovative way of modelling multi-physics systems developed in the past recent years which allows to find better control strategies. This thesis aimed to apply the port-Hamiltonian approach to a fluid-structure interaction problem consisting on a fluid enclosed by a shell. As the port-Hamiltonian approach is modular first a shell model was derived, then a fluid model and finally the global system was obtained by the use of a proper interconnection of the two models. Due to the complexity of the problem the port-Hamiltonian approach was studied first with a simple example, a discrete system composed by a simple oscillator. After, the extension from discrete systems such as this simple example, to distributed parameter systems, such as the shell or the fluid, was studied and the different types of interactions which can arise among them analysed to prepare the theoretical background required. For the shell a literature review of different shell models was performed and the different assumptions studied. Later based on a recently derived plate and beam port-Hamiltonian models the first shell port-Hamiltonian model was derived. Regarding the fluid an acoustic fluid model was used. In order to address its applicability the dimensionless numbers which characterize the problem were obtained and the conditions of applicability defined in terms of them. Later, following an unidimensional acoustic port-Hamiltonian representation recently published, a more generic 3-D acoustic port-Hamiltonian model was obtained, model which is also unprecedented. Finally, by defining appropriate coupling simplifications, the interconnection was performed obtaining a fluid-structure port-Hamiltonian formulation, problem which had not been solved yet for a deformable interface as the case considered here. The model derived can be used for controller design of a wide variety of applications such as inflatable space structures, launcher tanks vibrations damping, payload vibration protection with smart materials and many other spin-off applications.

Item Type:Mémoire
Additional Information:This thesis was also submitted in partial (45%) weighting fulfilment of the requirements for the Cranfield University degree of Master of Science in Advanced Lightweight Structures and Impact. Cranfield University supervisor: Dr. Tom De Vuyst
Uncontrolled Keywords:
Institution:Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Other partners > Cranfield University (UNITED KINGDOM)
Laboratory name:
Research Director:
Gourinat, Yves and Charlotte, Miguel
Deposited On:11 Oct 2018 13:37

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