The spontaneous synchronisation of coupled non-linear oscillators is a recurring research topic in scientific literature. Since the invention of the pendulum clock from Huygens in 17th century, several studies have been carried out on this topic, which today keeps on captivate researchers. The paper, after a literature survey, tries to analyse this phenomenon, called the Huygens synchronisation, with theoretical simple mechanical models able to reproduce the phenomena of metronomes laid on the same structure. The metronome is a non-linear system powered by an external energy source provided by the escapement mechanism or other electromechanical devices. In this work it could be considered like an initial conservative nonlinear system that is provided of a suitable small dissipation, like every real system. The scope of this paper is to see whether the synchronisation is possible with progressive models characterised by increasing complexity to evaluate hypothesis and consequences. The final aim is to define necessary and sufficient conditions for simulating the phenomenon through numerical integration of models developed through bond-graph approach. These analytical models are compared, in order to emphasise the needed flexibilities, nonlinearities and dissipative effects that should be taken into account to model correctly the pendula behaviour. In particular phase lag between the metronomes are described through Hilbert transform and other time-frequency tools.

Exotic nonlinear metronomes dynamics / Bonisoli, E.; Colombo, F.. - (2019). ((Intervento presentato al convegno INTERNATIONAL CONFERENCE ON NONLINEAR SOLID MECHANICS ICoNSoM2019 tenutosi a Roma nel June 16-19, 2019.

Exotic nonlinear metronomes dynamics

E. Bonisoli;F. Colombo
2019

Abstract

The spontaneous synchronisation of coupled non-linear oscillators is a recurring research topic in scientific literature. Since the invention of the pendulum clock from Huygens in 17th century, several studies have been carried out on this topic, which today keeps on captivate researchers. The paper, after a literature survey, tries to analyse this phenomenon, called the Huygens synchronisation, with theoretical simple mechanical models able to reproduce the phenomena of metronomes laid on the same structure. The metronome is a non-linear system powered by an external energy source provided by the escapement mechanism or other electromechanical devices. In this work it could be considered like an initial conservative nonlinear system that is provided of a suitable small dissipation, like every real system. The scope of this paper is to see whether the synchronisation is possible with progressive models characterised by increasing complexity to evaluate hypothesis and consequences. The final aim is to define necessary and sufficient conditions for simulating the phenomenon through numerical integration of models developed through bond-graph approach. These analytical models are compared, in order to emphasise the needed flexibilities, nonlinearities and dissipative effects that should be taken into account to model correctly the pendula behaviour. In particular phase lag between the metronomes are described through Hilbert transform and other time-frequency tools.
File in questo prodotto:
File Dimensione Formato  
BONISOLI,COLOMBO_ABSTRACT_ICONSOM2019.pdf

non disponibili

Tipologia: 1. Preprint / submitted version [pre- review]
Licenza: Non Pubblico - Accesso privato/ristretto
Dimensione 20.58 kB
Formato Adobe PDF
20.58 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2746632
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo