Stiffness matrix calculation of rolling element bearings using a finite element/contact mechanics model

Harris, 1990

Jones, 1946

Palmgren, 1959

Brandlein, 1999

Gargiulo, 1980, A simple way to estimate bearing stiffness, Machine Design, 107

Lim, 1990, Vibration transmission through rolling element bearings, part I: Bearing stiffness formulation, Journal of Sound and Vibration, 139, 179, 10.1016/0022-460X(90)90882-Z

Bourdon, 1999, Static rolling bearing models in a cad. environment for the study of complex mechanisms: Part i: Rolling bearing model, Journal of Tribology, 121

Liew, 2005, Analysis of time-varying rolling element bearing characteristics, Journal of Sound and Vibration, 283, 1163, 10.1016/j.jsv.2004.06.022

Kraus, 1987, In situ determination of rolling bearing stiffness and damping by modal analysis, Journal of Vibration, Acoustics, Stress, and Reliability in Design, 109, 235, 10.1115/1.3269426

Royston, 1998, Vibration transmission through self-aligning (spherical) rolling element bearings: Theory and experiment, Journal of Sound and Vibration, 215, 997, 10.1006/jsvi.1998.9999

Walford, 1980, The measurement of the radial stiffness of rolling element bearings under oscillating conditions, Journal of Mechanical Engineering Science, 22, 175, 10.1243/JMES_JOUR_1980_022_035_02

Tiwari, 2006, Simultaneous identification of residual unbalances and bearing dynamic parameters from impulse responses of rotor-bearing systems, Mechanical Systems and Signal Processing, 20, 1590, 10.1016/j.ymssp.2006.01.005

Tiwari, 2002, Identification of speed-dependent bearing parameters, Journal of Sound and Vibration, 254, 967, 10.1006/jsvi.2001.4140

Goodwin, 1991, Experimental techniques for bearing impedance measurement, Journal of Engineering for Industry, 113, 335, 10.1115/1.2899705

Vijayakar

Seireg, 1998

Vijayakar, 1991, A combined surface integral and finite element solution for a three-dimensional contact problem, International Journal for Numerical Methods in Engineering, 31, 524, 10.1002/nme.1620310308

Vijayakar, 1988, Linearization of multibody frictional contact problems, Computers and Structures, 29, 569, 10.1016/0045-7949(88)90366-5

Vijayakar, 1989, Finite element analysis of three-dimensional conformal contact with friction, Computers and Structures, 33, 49, 10.1016/0045-7949(89)90128-4

Parker, 2000, Non-linear dynamic response of a spur gear pair: modelling and experimental comparisons, Journal of Sound and Vibration, 237, 435, 10.1006/jsvi.2000.3067

Parker, 2000, Dynamic response of a planetary gear system using a finite element/contact mechanics model, Journal of Mechanical Design, 122, 304, 10.1115/1.1286189

Kahraman, 2001, Effect of internal gear flexibility on the quasi-static behavior of a planetary gear set, Journal of Mechanical Design, 123, 408, 10.1115/1.1371477

Guo, 2010, Dynamic modeling and analysis of a spur planetary gear involving tooth wedging and bearing clearance nonlinearity, European Journal of Mechanics A/Solids, 29, 1022, 10.1016/j.euromechsol.2010.05.001

Ishida, 1981, Effect of gearbox on noise reduction of geared device, 13

Mitchell, 1986, Testing of uh-60a helicopter transmission in nasa lewis 2240kw (3000-hp) facility

Baker, 2005, On the relationship between mesh refinement and solution accuracy

Roache, 1998, Verification of codes and calculations, AIAA Journal, 36, 696, 10.2514/2.457

Roache, 1994, Perspective: a method for uniform reporting of grid refinement studies, Journal of Fluids Engineering, 116, 405, 10.1115/1.2910291

Turner, 1992, Efficient high accuracy solutions with gmres(m), Journal of Scientific and Statistic Computing, 13, 815, 10.1137/0913048

Jones, 1966, A computer study of design parameters on rolling element bearing performance

Poplawski

Jones, 1960, A general theory for elastically constrained ball and radial roller bearings under arbitrary load and speed conditions, ASME Journal of Basic Engineering, 82, 309, 10.1115/1.3662587

Hambric, 2010, Rotorcraft transmission noise path model, including distributed fluid film bearing impedance modeling

Johns, 1981, Roller bearings under radial and eccentric loads, Tribology International, 14, 131, 10.1016/0301-679X(81)90058-X

While, 1979, Rolling element bearing vibration transfer characteristics: effect of stiffness, Journal of Applied Mechanics, 46, 677, 10.1115/1.3424626

R. J. W. Knaapen, Experimental determination of rolling element bearing stiffness, Ph.D. thesis, Eindhoven University of Technology, Eindhoven, The Netherlands, 1997.