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Galasso, Sara (2018) Dynamics of pendula hanging from a string. [Magistrali biennali]

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Abstract

This thesis aims to explain the phenomenon of the synchronization in mechanical~--~discrete and continuous~--~systems as an outcome of damping contributions affecting the normal modes of oscillation. We present and prove a result for finite-dimensional linear mechanical systems asserting the existence~--~under suitable conditions~--~of an attractive invariant undamped subspace in the phase space, on which the dynamics consists of small oscillations. Thereafter, we construct a hybrid model composed of a homogeneous flexible and elastic string, with fixed extremities, on which are suspended first one, and then two, pendula. We include a dissipative contribution due to internal damping within the string, modelling it as visco-elastic friction. The study, making use of the Lagrangian formalism, provides a linear analysis based on the determination of the undamped and damped normal modes of oscillation. Hence, we investigate beats and synchronization by means of a numerical study as the parameters that characterise the system change.

Item Type:Magistrali biennali
Corsi di Diploma di Laurea:Scuola di Scienze > Fisica
Uncontrolled Keywords:Synchronization; Mechanical systems; Pendulum; Elastic string; Damping; Normal modes; Beats; Small oscillations; Lagrangian formalism; Hybrid model
Subjects:Area 02 - Scienze fisiche > FIS/02 Fisica teorica, modelli e metodi matematici
Codice ID:59740
Relatore:Fassò, Francesco
Correlatore:Ponno, Antonio
Data della tesi:16 April 2018
Biblioteca:Polo di Scienze > Dip. Fisica e Astronomia "Galileo Galilei" - Biblioteca
Tipo di fruizione per il documento:on-line per i full-text
Tesi sperimentale (Si) o compilativa (No)?:No

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