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The present Thesis focuses on the development of a methodology for modelling the dynamics of a solid of revolution rotating about its main axis. The proposed technique is especially adequate to be applied in the dynamic simulation of this type of bodies when they interact with non-rotating structures. In this document, different increasingly complex models are presented which conclude with the application to a flexible rotating railway wheelset. The first case analysed corresponds to the study of the dynamics of a spinning pinned-pinned Rayleigh beam. The free and forced responses have analytical solutions, and they are characterized through an only adimensional parameter. The free response trajectory of points of the beam is identified as the superposition of hypotrochoid curves. In the core of the document, a methodology for solids of revolution is presented which is based on arbitrary lagrangian–eulerian modal synthesis. It is demonstrated for solids of revolution that it is possible to define a transformation of the classic lagrangian modal coordinates into the eulerian ones, which leads to an efficient computational formulation. This method only can be applied analytically to beams, therefore a numerical procedure based on finite elements is developed for general geometries of revolution. The validation of the proposed method is performed through the development of the equations for a spinning pinned-pinned cylinder. This case is benchmarked by means of three different approaches: the corresponding one to modal synthesis obtained analytically, the numerical analogue of the former, and a spinning pinnedpinned Rayleigh beam. The equations of motion of the free-ends spinning cylinder are also obtained, with the purpose of showing a more complex response. In the final part of the document, the equation of motion of a rotating railway wheelset and its dynamic response are studied and compared with the non-rotating behaviour of this solid. Finally, the wheelset model is implemented in a global railway vehicle–track model. Results of the complete system are obtained for two cases: the impact due to a wheel flat, and a vehicle running on a corrugated track. The contact forces derived from the proposed model are compared with those obtained by using rigid wheelsets and non-rotating wheel.

Dinámica estructural de cuerpos de revolución rotatorios: aplicación al eje de un vehículo ferroviario.