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Mathematical models and optimization problems for a class of multibodied homokinetic systems rotating about a fixed point

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Sommario

In questo lavoro viene proposta una teoria matematica per lo studio delle trasmissioni di coppia, in presenza di attrito, per un sistema spaziale di meccanismi omocinetici per la trasmissione fra due assi convergenti in un punto fisso.

I risultati ottenuti indicano l'influenza dei parametri geometrici caratterizzanti il sistema sul comportamento di un opportuno insieme di funzioni, proposte nell'ambito di questo lavoro, idonee a descrivere il comportamento del sistema in oggetto. Tali risultati sono altresi visualizzati mediante grafici che riportano il risultato di rappresentazioni di tali funzioni e dell'ottimizzazione della scelta dei parametri geometrici che caratterizzano il sistema sul comportamento del sistema stesso.

Summary

This work proposes a theory for study of the torque transmission with friction in a large class of multibodied systems with fixed point for the homokinetic transmission of the motion between two converging axes.

The obtained results point out the influence of the geometrical parameters characterizing the system upon the behaviour of functions, here proposed, which describe the torque transmission with friction.

Numerical calculations, optimization problems and mathematical models visualize the results of the afore-mentioned theory.

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References

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Bellomo, N., Monaco, R. Mathematical models and optimization problems for a class of multibodied homokinetic systems rotating about a fixed point. Meccanica 15, 3–8 (1980). https://doi.org/10.1007/BF02128235

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  • DOI: https://doi.org/10.1007/BF02128235

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