[1] A. Ross, High speed gears, AGMA Paper, 1927
[2] E. Buckingham, Dynamic loads on gear teeth, ASME Spec. Res. Publication, 1931
[3] H. Ozguven, D. Houser, Mathematical models used in gear dynamics-a review, J. Sound Vib., 121, 383–411, 1988
[4] J.Wang, R.Li, X.Peng, Survey of nonlinear vibration of gear transmission systems, Appl. Mech. Rev., 3, 56, 309–329, 2003
[5] S. Harris, Dynamic loads on the teeth of spur gears, Proc. Inst. Mech. Eng., 172, 87, 1958
[6] D. Yang, J. Lin, Hertzian damping, tooth friction and bending elasticity in gear impact dynamics, J. Mech. Des, 109 189-196, 1987
[7] R. Singh, H. Xie, R. Comparin, Analysis of automotive neutral gear rattle, J. Sound Vib., 131 177-196, 1989
[8] A. Parey, Tandon, Spur Gear Dynamic Models Including Defects: A Review, Shock Vib. Dig., 35, 3 465-478, 2003
[9] A. Kahraman, G. Blankenship, Steady state forced response of a mechanical oscillator with combined parametric excitation and clearance type non-linearity, J. Sound Vib.,185 743-765, 1995
[10] A. Kahraman, R. Singh, Non-linear dynamics of a spur gear pair, J. Sound Vib.,142, 1 49-75, 1990
[11] M. Tavakoli. D. Houser, Optimum profile modifications for the minimum of static transmission errors of spur gears, ASME, 108, 8 86-94, 1986
[12] H. Ozguven, A nonlinear mathematical model for dynamic analysis of spur gears including shaft and bearing dynamics, J. Sound Vib., 145 239-260, 1991
[13] R.G. Parker, S.M. Vijayakar, T.Imajo, Non-linear dynamic response of a spur gear pair: Modelling and experimental comparisons, J. Sound Vib.,273, 435-455, 2000
[14] M. Machado, Moreira, P.Flores, H.M.Lankarani, Compliant contact force models in multibody dynamics Evolution of the Hertz contact theory, Mech. Mach. Theory, 53, 99–121, 2012
[15] J. Choi, S. Rhim, J.H.Choi, A general purpose contact algorithm using a compliance contact force model for rigid and flexible bodies of complex geometry, Int. J. NonLin. Mech. 53, 12-23, 2013
[16] H. Cha, J.Choi, H.Ryu; J.Choi, Stick-slip algorithm in a tangential contact force model for multi-body system dynamics, J. Mech. Sci. Technol, 25 1687-1694, 2011
[17] M. Cirelli, P. Valentini, E. Pennestrì, A study of the non-linear dynamic response of spur gear using a multibody contact based model with flexible teeth, J. Sound Vib., 2019
[18] M. Cirelli, O. Giannini, P. Valentini, E.Pennestrì, Influence of tip relief in spur gears dynamic using multibody models with movable teeth, Mech. Mach. Theory, 152, 103948, 2020
[19] O. Agrawal, A. Shabana, Dynamic analysis of multibody systems using component modes., Comput. Struct., 2 1(6), 1303–1312, 1985
[20] P. Fanghella, C. Galletti, G.Torre, An explicit independent-coordinate formulation for the equations of motion of flexible multibody systems, Mech. Mach. Theory, 38, 5, 417–437, 2003
[21] P. Fanghella, A. Sintich, Multibody modelling of a high speed routing system for automated letter handling, Mech. Base Des. Struct. Mach., 40, 4, 400–413, 2012
[22] R. Craig, Structural dynamics: an introduction to computer methods, Wiley, 1981
[23] A. Banerjee, Component Mode Selection and Model Reduction: A Review., Wiley., 2016
[24] A. Zwölfer, J.Gerstmayr, Preconditioning strategies for linear dependent generalized component modes in 3D flexible multibody dynamics., Multibody Syst. Dyn. 47, 65-93, 2019
[25] M. Hanss, The extended transformation method for the simulation and analysis of fuzzy-parameterized models, Int. J. Uncertain. Fuzziness Knowl.-Based Syst., 11, 711-727, 2003
[26] C. Wang, H.Matthies, Epistemic uncertainty-based reliability analysis for engineering system with hybrid evidence and fuzzy variables, Comput. Methods in Appl. Mech. Eng., 355 438-455, 2019
[27] C. Wang, H.Matthies, M. Xu, Y. Li, Dual interval-and-fuzzy analysis method for temperature prediction with hybrid epistemic uncertainties via polynomial chaos expansion, Comput. Methods in Appl. Mech. Eng., 336
171-186, 2018.
[28] L. Zadeh, Fuzzy sets, Inf. Control. 8, 338–353, 1965
[29] N.P. Walz, M. Hanss, Fuzzy arithmetical analysis of multibody systems with uncertainties, Arch. of Mech. Eng., 60, 109-125, 2013
[30] I. Iroz, M. Hanss, P.Eberhard, Transient simulation of friction-induced vibrations using an elastic multibody approach, Multibody Syst. Dyn., 39, 37-49, 2017
[31] R. Pieren, K. Heutschi, J.M.Wunderli, M.Snellen, D.G.Simons, Auralization of railway noise: Emission synthesis of rolling and impact noise, Appl. Acoust., 127, 34-45, 2017
[32] T. Bravo, An analytical study on the amplification of the tyre rolling noise due to the horn effect, Appl. Acoust., 123, 85-92, 2017
[33] P. Jost, The tasks of tribology societies on a changing world, 2nd World Trib. Congr., 2001
[34] Pinkus, Wilcock, Strategy for energy conservation through tribology, ASME, 1977
[35] J. Echávarri, E.De la Guerra, E.Chacón, Tribology: A Historical Overview of the Relation Between Theory and Application, Springer, 2015
[36] K. Holmberg, Global energy consumption due to friction in trucks and buses, Tribol. Int., 78, 94–114, 2014
