Abstract
This paper presents the derivation of the torsional receptances for a universal joint. The joint is modeled as two inertias connected by a massless cross-piece. The equations of motion and resulting receptances reveal that the universal joint may be represented as a variable inertia. The inertia is a function of misalignment angle and angular position. It is shown that the inertia variation may be approximated by a second order cosine for typical misalignment angles. Systems with variable inertia are known to exhibit non-linear vibration behaviour.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bishop, R.E.D., Johnson, D.C.: The Mechanics of Vibration. Cambridge University Press, Cambridge (1960)
Drew, S.J., Hesterman, D.C., Stone, B.J.: The torsional excitation of variable inertia effects in a reciprocating engine. Mech. Syst. Signal Process. 13, 125–144 (1999)
Guzzomi, A.L.: Torsional vibration of powertrains: an investigation of some common assumptions. VDM Verlag Dr. M\(\ddot{\mbox{ u}}\)ller (2007)
Guzzomi, A.L., Hesterman, D.C., Stone, B.J.: Variable inertia effects of an engine including piston friction and a crank or gudgeon pin offset. Proc. Inst. Mech. Eng. Part D: J. Automob. Eng. 222, 397–414 (2008)
Guzzomi, A.L., Molari, P.G.: Sulla vita a fatica di alberi scanalati. In: AIAS 2008 Atti del XXXVII Convegno Nazionale Roma, 10–13 Sept 2008
Hesterman, D.: Torsional Vibration in Reciprocating Pumps and Engines. Ph.D. thesis, Department of Mechanical Engineering, University of Western Australia, Perth, Western Australia (1992)
Leishman, B.A., Drew, S.J., Stone, B.J.: Torsional vibration of a back-to-back gearbox rig. part 1: frequency domain modal analysis. Proc. Inst. Mech. Eng. Part K: J. Multi-body Dyn. 214(3), 143–162 (2000)
Leishman, B.A., Drew, S.J., Stone, B.J.: Torsional vibration of a back-to-back gearbox rig. Part 2: time domain modelling and verification. Proc. Inst. Mech. Eng. Part K: J. Multibody Dyn. 214(3), 163–179 (2000)
Mills, A.: Robert Hooke’s universal joint and its application to sundials and the sundial-clock. Notes Rec. R. Soc. 61, 219–236 (2007)
Porat, I.: Moment transmission by a universal joint. J. Mech. Mach. Theory 15(4), 245–254 (1980)
Reuleaux, F.: The Constructor: A Hand-Book of Machine Design. H.H. Suplee, Philadelphia (1893)
Russo, L.: The Forgotten Revolution. How Science Was Born in 300 BC and Why It Had Be Reborn. Springer, Berlin/New York (1996)
Sargeant, M.A., Drew, S.J., Stone, B.J.: Coupled torsional and transverse vibration of a back-to-back gearbox rig. Proc. Inst. Mech. Eng. Part K: J. Multi-body Dyn. 219, 259–273 (2005)
Seherr-Thoss, H.C., Schmelz, F., Aucktor, E.: Universal Joints and Driveshafts: Analysis, Design, Applications, 2nd edn. Springer, Berlin (2006)
Acknowledgements
C. P. acknowledges the support of Prof. P.G. Molari from D.I.E.M. UniBO. He also thanks the School of Mechanical and Chemical Engineering of UWA for hosting his visit.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Peressini, C., Guzzomi, A.L., Hesterman, D.C. (2013). Torsional Receptances and Variable Inertia of a Two-Inertia Model of a Universal Joint. In: Viadero, F., Ceccarelli, M. (eds) New Trends in Mechanism and Machine Science. Mechanisms and Machine Science, vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-4902-3_61
Download citation
DOI: https://doi.org/10.1007/978-94-007-4902-3_61
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-4901-6
Online ISBN: 978-94-007-4902-3
eBook Packages: EngineeringEngineering (R0)