Sommario
Si propone un modello continuo di un sistema di guida a masse molteplici con alberi a sezione variabile con discontinuità, caricati da coppie esterne. L'analisi è condotta per mezzo di onde torsionali monodimensionali. Si sviluppa un procedimento per il calcolo di velocità, deformazioni e sponstamenti di una generica sezione degli alberi e si formulano condizioni necessarie per la stabilità degli spostamenti angolari.
Summary
A continuous model of a multi mass drive system with stepped shafts, loaded by external moments, is proposed and analysed by means of one dimensional torsional waves. A procedure is developed for calculation of velocities, strains and displacements in an arbitrary cross-section of the shafts, and some necessary conditions for the stability of angular displacements are formulated.
References
Baldock G.R. andBridgeman T.,The Mathematical Theory of Wave Motion, Chichester, England (1981).
Fitzgeorge O. andWilliams F.W.,Compact Distributed Inertia Solution for Free Torsional Vibrations of Shaft and Rotor System, J. Sound Vibration, 46, 311–322 (1976).
Wittrick W.H. andWilliams F.W.,A General Algorithm for Computing Natural Frequencies of Elastic Structures, Q.J. Mech. Appl. Math., XXIV, 263–284 (1971).
Beddoe B.,Wave Theory of Free Torsional Vibration of Composite Systems of Shafts, J. Mech. Eng. Sc., Vol. 7, N. 1, 48–56 (1965).
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Nadolski, W., Pielorz, A. & Mioduchowski, A. Multi mass drive systems with stepped shafts. Meccanica 20, 164–170 (1985). https://doi.org/10.1007/BF02337636
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DOI: https://doi.org/10.1007/BF02337636