Non-smooth model of a frictionless and dry three-dimensional revolute joint with clearance for multibody system dynamics

Azimi, 2012, Stabilizing slider-crank mechanism with clearance joints, Mech. Mach. Theory, 53, 17, 10.1016/j.mechmachtheory.2012.02.006 Erkaya, 2016, Analysis of the joint clearance effects on a compliant spatial mechanism, Mech. Mach. Theory, 104, 255, 10.1016/j.mechmachtheory.2016.06.009 Amirouche, 1988, Modelling of clearances and joint flexibility effects in multibody systems dynamics, Comput. Struct., 29, 983, 10.1016/0045-7949(88)90324-0 Liu, 1990, Dynamic analysis of flexible linkages with lubricated joints, J. Sound Vib., 141, 193, 10.1016/0022-460X(90)90834-M Ambrósio, 2009, Improved bushing models for general multibody systems and vehicle dynamics, Multibody Syst. Dyn., 22, 341, 10.1007/s11044-009-9161-7 Dhande, 1978, Mechanical error analysis of spatial linkages, J. Mech. Des., 100, 732, 10.1115/1.3454001 Dubowsky, 1987, The dynamic modeling of flexible spatial machine systems with clearance connections, J. Mech. Transmiss. Autom. Des., 109, 87, 10.1115/1.3258790 Kakizaki, 1993, Modeling the spatial dynamics of robotic manipulators with flexible links and joint clearances, J. Mech. Des., 115, 839, 10.1115/1.2919277 Flores, 2006, Influence of the contact-impact force model on the dynamic response of multi-body systems, Proc. Inst. Mech. Eng. Part K, 220, 21 Flores, 2010, A parametric study on the dynamic response of planar multibody systems with multiple clearance joints, Nonlinear Dyn., 61, 633, 10.1007/s11071-010-9676-8 Flores, 2012, Dynamic response of multibody systems with multiple clearance joints, ASME. J. Comput. Nonlinear Dyn., 7, 10.1115/1.4005927 Lankarani, 1990, A contact force model with hysteresis damping for impact analysis of multibody systems, J. Mech. Des., 112, 369, 10.1115/1.2912617 Lankarani, 1994, Continuous contact force models for impact analysis in multibody systems, NonLinear Dyn., 5, 193, 10.1007/BF00045676 Brutti, 2011, Modeling 3d revolute joint with clearance and contact stiffness, Nonlinear Dyn., 66, 531, 10.1007/s11071-010-9931-z Liu, 2007, The FEM analysis and approximate model for cylindrical joints with clearances, Mech. Mach. Theory, 42, 10.1016/j.mechmachtheory.2006.02.006 Erkaya, 2015, Effects of joint clearance on the dynamics of a partly compliant mechanism: numerical and experimental studies, Mech. Mach. Theory, 88, 125, 10.1016/j.mechmachtheory.2015.02.007 Flores, 2011, Numerical and experimental investigation on multibody systems with revolute clearance joints, Nonlinear Dyn., 65, 383, 10.1007/s11071-010-9899-8 Koshy, 2013, Study of the effect of contact force model on the dynamic response of mechanical systems with dry clearance joints: computational and experimental approaches, Nonlinear Dyn., 73, 325, 10.1007/s11071-013-0787-x Yan, 2015, A comprehensive model for 3D revolute joints with clearances in mechanical systems, Nonlinear Dyn., 80, 309, 10.1007/s11071-014-1870-7 Flores, 2004, Dynamic analysis for planar multibody mechanical systems with lubricated joints, Multibody Syst. Dyn., 12, 47, 10.1023/B:MUBO.0000042901.74498.3a Flores, 2009, Lubricated revolute joints in rigid multibody systems, Nonlinear Dyn., 56, 277, 10.1007/s11071-008-9399-2 Flores, 2010, On the contact detection for contact-impact analysis in multibody systems, Multibody Syst. Dyn., 24, 103, 10.1007/s11044-010-9209-8 Machado, 2012, The effect of the lubricated revolute joint parameters and hydrodynamic force models on the dynamic response of planar multi-body systems, Nonlinear Dyn., 69, 635, 10.1007/s11071-011-0293-y Muvengei, 2012, Numerical study of parametric effects on the dynamic response of planar multi-body systems with differently located frictionless revolute clearance joints, Mech. Mach. Theory, 53, 30, 10.1016/j.mechmachtheory.2012.02.007 Rahmanian, 2015, Bifurcation in planar slider-crank mechanism with revolute clearance joint, Mech. Mach. Theory, 91, 86, 10.1016/j.mechmachtheory.2015.04.008 Reis, 2014, Dynamic analysis of a lubricated planar slider-crank mechanism considering friction and Hertz contact effects, Mech. Mach. Theory, 74, 257, 10.1016/j.mechmachtheory.2013.11.009 Pei, 2016, A novel transition model for lubricated revolute joints in planar multibody systems, Multibody Syst. Dyn., 36, 279, 10.1007/s11044-015-9484-5 Flores, 2007, Dynamic behaviour of planar rigid multi-body systems including revolute joints with clearance, Proc. Inst. Mech. Eng. Part K, 221, 161 Tian, 2017, A new elastohydrodynamic lubricated spherical joint model for rigid-flexible multibody dynamics, Mech. Mach. Theory, 107, 210, 10.1016/j.mechmachtheory.2016.09.006 Kikuchi, 1988 Alves, 2015, A comparative study of the viscoelastic constitutive models for frictionless contact interfaces in solids, Mech. Mach. Theory, 85, 172, 10.1016/j.mechmachtheory.2014.11.020 Tian, 2011, A new model for dry and lubricated cylindrical joints with clearance in spatial flexible multibody systems, Nonlinear Dyn., 64, 25, 10.1007/s11071-010-9843-y Liu, 2012, Dynamics and control of a spatial rigid-flexible multibody system with multiple cylindrical clearance joints, Mech. Mach. Theory, 52, 106, 10.1016/j.mechmachtheory.2012.01.016 Bauchau, 2006, Modeling friction phenomena in flexible multibody dynamics, Comput. Methods Appl. Mech. Eng., 195, 6909, 10.1016/j.cma.2005.08.013 Flores, 2006, Spatial revolute joints with clearances for dynamic analysis of multi-body systems, Proc. Inst. Mech. Eng. Part K, 220, 257 Marques, 2016, Spatial revolute joints with clearance and friction for dynamic analysis of multibody mechanical systems Virlez, 2013, Modeling joints with clearance and friction in multibody dynamic simulation of automotive differentials, Theor. Appl. Mech. Lett., 3, 013003, 10.1063/2.1301303 Marques, 2017, An enhanced formulation to model spatial revolute joints with radial and axial clearances, Mech. Mach. Theory, 116, 123, 10.1016/j.mechmachtheory.2017.05.020 Venanzi, 2005, A new technique for clearance influence analysis in spatial mechanisms, J. Mech. Des., 127, 446, 10.1115/1.1867512 Y.-J. Zhou, F.-L. Guan, Dynamics analysis of mechanisms with elastic bars and three-dimensional clearance revolute joints, J. Harbin Inst. Technol., 40 (10) 122–127. Chung, 1993, Time integration algorithm for structural dynamics with improved numerical dissipation: the generalized- alpha method, ASME J. Appl. Mech., 60, 371, 10.1115/1.2900803 Stewart, 2000, Rigid-body dynamics with friction and impact, SIAM Rev., 39, 3, 10.1137/S0036144599360110 Chawla, 1998, Energy consistent algorithms for frictional contact problem, Int. J. Numer. Methods Eng., 42, 799, 10.1002/(SICI)1097-0207(19980715)42:5<799::AID-NME385>3.0.CO;2-F Laursen, 1997, Design of energy conserving algorithms for frictionless dynamic contact problems, Int. J. Numer. Methods Eng., 40, 863, 10.1002/(SICI)1097-0207(19970315)40:5<863::AID-NME92>3.0.CO;2-V Laursen, 2002 Lens, 2004, Energy preserving time integration for constrained multibody systems, Multibody Syst. Dyn., 11, 41, 10.1023/B:MUBO.0000014901.06757.bb Lens, 2007, An energy preserving/decaying scheme for constrained nonlinear multibody systems., Multibody Syst. Dyn., 18, 435, 10.1007/s11044-007-9049-3 J. García Orden, J. Goicolea, Robust Analysis of Flexible Multibody Systems and Joint Clearances in an Energy Conserving Framework, Springer, Dordrecht, Netherlands, pp. 205–237. Bauchau, 2002, Modeling of joints with clearance in flexible multibody systems, Int. J. Solids Struct., 39, 41, 10.1016/S0020-7683(01)00186-X Ortega, 2017, Energy-consistent simulation of frictional contact in rigid multibody systems using implicit surfaces and penalty method, Multibody Syst. Dyn., 10.1007/s11044-017-9565-8 Jean, 1999, The non-smooth contact dynamics method, Comput. Methods Appl. Mech. Eng., 177, 235, 10.1016/S0045-7825(98)00383-1 Pfeiffer, 2006, Numerical aspects of non-smooth multibody dynamics, Comput. Methods Appl. Mech. Eng., 195, 6891, 10.1016/j.cma.2005.08.012 Moreau, 1988, Unilateral contact and dry friction in finite freedom dynamics, vol. 302, 1 Pfeiffer, 1996 Flores, 2010, Modeling and analysis of planar rigid multibody systems with translational clearance joints based on the non-smooth dynamics approach, Multibody Syst. Dyn., 23, 165, 10.1007/s11044-009-9178-y Flores, 2011, Modeling and analysis of rigid multibody systems with translational clearance joints based on the non-smooth dynamics approach Akhadkar, 2017, Multibody systems with 3d revolute joints with clearances: an industrial case study with an experimental validation, Multibody Syst. Dyn. Akhadkar, 2018, 3D revolute joint with clearance in multibody systems, Comput. Kinem. Mech. Mach. Sci., 50, 10.1007/978-3-319-60867-9_2 Brüls, 2014, Simultaneous enforcement of constraints at position and velocity levels in the nonsmooth generalized alpha scheme, Comput. Methods Appl. Mech. Eng., 281, 131, 10.1016/j.cma.2014.07.025 Géradin, 2001 Brüls, 2013, An augmented Lagrangian and reduced index formulation for the analysis of multibody systems with impacts Gear, 1985, Automatic integration of euler-lagrange equations with constraints, J. Comput. Appl. Math., 12–13, 77, 10.1016/0377-0427(85)90008-1 Alart, 1991, A mixed formulation for frictional contact problems prone to newton like solution methods, Comput. Methods Appl. Mech. Eng., 92, 353, 10.1016/0045-7825(91)90022-X Cardona, 1994, Design of a new finite element programming environment, Eng. Comput., 11, 365, 10.1108/02644409410799344 Lens, 2008, A nonlinear beam element formulation in the framework of an energy preserving time integration scheme for constrained multibody systems dynamics, Comput. Struct., 86, 46