A comprehensive survey of the analytical, numerical and experimental methodologies for dynamics of multibody mechanical systems with clearance or imperfect joints

Mechanism and Machine Theory - Tập 122 - Trang 1-57 - 2018
Qiang Tian1, Paulo Flores2, Hamid M. Lankarani3
1MOE Key Laboratory of Dynamics and Control of Flight Vehicle, School of Aerospace Engineering, Beijing Institute of Technology, Beijing, 100081, China
2MIT-Portugal Program, CMEMS-UMinho, Department of Mechanical Engineering, University of Minho, Campus de Azurém, 4804-533 Guimarães, Portugal
3Department of Mechanical Engineering, Wichita State University, Wichita, KS 67260-133, USA

Tài liệu tham khảo

Uicker, 2003

Shabana, 1989

Geng, 2016, Non-probabilistic time-dependent kinematic reliability assessment for function generation mechanisms with joint clearances, Mech. Mach. Theory, 104, 202, 10.1016/j.mechmachtheory.2016.05.013

Chen, 2016, Dynamic analysis of a planar slider-crank mechanism with clearance for a high speed and heavy load press system, Mech. Mach. Theory, 98, 81, 10.1016/j.mechmachtheory.2015.12.004

Flores, 2012, Dynamic response of multibody systems with multiple clearance joints, J. Comput. Nonlinear Dyn., 7, 031003, 10.1115/1.4005927

Crowther, 2007, Impulsive response of an automatic transmission system with multiple clearances: Formulation, simulation and experiment, J. Sound Vib., 306, 444, 10.1016/j.jsv.2007.05.053

Ambrósio, 2009, Improved bushing models for general multibody systems and vehicle dynamics, Multibody Sys. Dyn., 22, 341, 10.1007/s11044-009-9161-7

Zhang, 2015, Nonlinear characteristic of spherical joints with clearance, Journal of Aerospace and Technology Management, J. Aerosp. Technol. Manage., 7, 179, 10.5028/jatm.v7i2.464

Xu, 2015, Modeling of a deep-groove ball bearing with waviness defects in planar multibody system, Multibody Sys. Dyn., 33, 229, 10.1007/s11044-014-9413-z

Quental, 2013, Multibody system of the upper limb including a reverse shoulder prosthesis, J. Biomech. Eng., 135, 10.1115/1.4025325

L.D. Seneviratne, A design criterion for maintaining contact at a revolute joint with clearance, University of London, 1985 Ph.D. thesis.

K. Soong, An Analytical and experimental study of the elastodynamic response characteristics of planar linkage mechanism with bearing clearances, Michigan State University, 1988 Ph.D. thesis.

P. Ravn, Analysis and synthesis of planar mechanical systems including flexibility, contact and joint clearance, Technical University of Denmark, 1998 Ph.D. thesis.

S.L. Pedersen, Simulation and analysis of roller chain drive systems, Technical University of Denmark, 2004 Ph.D. thesis.

C. Malça, Dynamics of chain drives using a multibody approach, Technical University of Lisbon, 2009 Ph.D. thesis.

M. Baiceanu, Dynamic modeling of mechanical systems, Technical University “Gheorghe Asachi”, 2012 Ph.D. thesis.

E.A. Renani, Tribology of artificial hip joints, Australian School of Advanced Medicine, 2015 Ph.D. thesis.

Garrett, 1969, Effect of tolerance and clearance in linkage design, J. Eng. Ind, 91, 198, 10.1115/1.3591516

Dhande, 1973, Analysis and synthesis of mechanical error in linkages – A stochastic approach, J. Eng. Ind, 95, 672, 10.1115/1.3438208

Lee, 1991, The determination of the probabilistic properties of velocities and accelerations in kinematic chains with uncertainty, J. Mech. Des., 113, 84, 10.1115/1.2912755

Lee, 1993, Dimensional tolerance allocation of stochastic dynamic mechanical systems through performance and sensitivity analysis, J. Mech. Des, 115, 392, 10.1115/1.2919204

Lee, 1990, Tolerances: Their analysis and synthesis, J. Eng. Ind., 112, 113, 10.1115/1.2899553

Chase, 1991, A survey of research in the application of tolerance analysis to the design of mechanical assemblies, Res. Eng. Des., 3, 23, 10.1007/BF01580066

Ting, 1996, Performance quality and tolerance sensitivity of mechanisms, J. Mech. Des., 118, 144, 10.1115/1.2826846

Joskowicz, 1997, Kinematic tolerance analysis, Comput.-Aided Des., 29, 147, 10.1016/S0010-4485(96)00043-7

Shi, 1997, Synthesis of mechanical error in spatial linkages based on reliability concept, Mech. Mach. Theory, 32, 255, 10.1016/S0094-114X(96)00049-3

Fogarasy, 1998, The influence of manufacturing tolerances on the kinematic performance of mechanisms, Proc. IMechE Part C: J. Mech. Eng. Sci., 212, 35, 10.1243/0954406981521024

Zhu, 2000, Uncertainty analysis of planar and spatial robots with joint clearances, Mech. Mach. Theory, 35, 1239, 10.1016/S0094-114X(99)00076-2

Schulz, 2000, Two methods of sensitivity analysis for multibody systems with collisions, Mech. Mach. Theory, 35, 1345, 10.1016/S0094-114X(00)00008-2

Flores, 2011, A methodology for quantifying the position errors due to manufacturing and assemble tolerances, J. Mech. Eng., 57, 457, 10.5545/sv-jme.2009.159

Seneviratne, 1992, Chaotic behaviour exhibited during contact loss in a clearance joint in a four-bar mechanism, Mech. Mach. Theory, 27, 307, 10.1016/0094-114X(92)90021-9

Shiau, 2008, Nonlinear dynamic analysis of a parallel mechanism with consideration of joint effects, Mech. Mach. Theory, 43, 491, 10.1016/j.mechmachtheory.2007.03.008

Roger, 1977, Dynamic simulation of planar mechanical systems with lubricated bearing clearances using vector-network methods, J. Eng. Ind., 99, 131, 10.1115/1.3439126

Alshaer, 2005, Dynamics of a multibody mechanical system with lubricated long journal bearings, J. Mech. Des., 127, 493, 10.1115/1.1864112

Askari, 2014, Study of the friction-induced vibration and contact mechanics of artificial hip joints, Tribol. Int., 70, 1, 10.1016/j.triboint.2013.09.006

Kurka, 2012, Dynamic loads of reciprocating compressors with flexible bearings, Mech. Mach. Theory, 52, 130, 10.1016/j.mechmachtheory.2012.01.014

Rooney, 1982, Coulomb friction in mechanism sliding joints, Mech. Mach. Theory, 17, 207, 10.1016/0094-114X(82)90006-4

Haug, 1986, Dynamics of mechanical systems with coulomb friction, stiction, impact and constraint addition deletion - I Theory, Mech. Mach. Theory, 21, 401, 10.1016/0094-114X(86)90088-1

Frączek, 2011, On the unique solvability of a direct dynamics problem for mechanisms with redundant constraints and Coulomb friction in joints, Mech. Mach. Theory, 46, 312, 10.1016/j.mechmachtheory.2010.11.003

Guo, 2013, Compliant joint design and flexure finger dynamic analysis using an equivalent pin model, Mech. Mach. Theory, 70, 338, 10.1016/j.mechmachtheory.2013.08.001

Xu, 2015, Modeling analysis and experimental study for the friction of a ball screw, Mech. Mach. Theory, 87, 57, 10.1016/j.mechmachtheory.2014.12.019

Khulief, 1986, Dynamic analysis of constrained system of rigid and flexible bodies with intermittent motion, J. Mech. Transm. Autom. Des., 108, 38, 10.1115/1.3260781

Khulief, 1987, A continuous force model for the impact analysis of flexible multibody systems, Mech. Mach. Theory, 22, 213, 10.1016/0094-114X(87)90004-8

Goodman, 1963, Dynamic effects of backlash, Mach. Des, 35, 150

Kobrinsky, 1964, Periodic movements of two mass vibration systems in a cavity. (in Russian), TruD. Mash. MeKh., 103, 56

Haines, 1980, Survey: 2-dimensional motion and impact at revolute joints, Mech. Mach. Theory, 15, 361, 10.1016/0094-114X(80)90013-0

Flores, 2008

Wang, 2015, Research progress of joint effects model in multibody system dynamics, Chin. J. Theor. App. Mech, 47, 31

Chace, 1967, Analysis of the time-dependence of multi-freedom mechanical systems in relative coordinates, J. Eng. Ind, 89, 119, 10.1115/1.3609982

Bagci, 1975, Dynamic motion analysis of plane mechanisms with coulomb and viscous damping via the joint force analysis, J. Eng. Ind, 97, 551, 10.1115/1.3438619

Lee, 1983, On the dynamics of intermittent-motion mechanisms. Part I. Dynamic model and response, J. Mech. Transm. Autom. Des., 105, 534, 10.1115/1.3267392

Dubowsky, 1983, An analytical and experimental study of the acoustical noise produced by machine links, J. Vib., Acoust. Stress, and Reliab. Des., 105, 393, 10.1115/1.3269118

Thompson, 1983, A variational formulation for the finite element analysis of the vibratory and acoustical response of high speed machinery, J. Sound Vib., 89, 7, 10.1016/0022-460X(83)90907-0

Mansour, 1975, Impact spectra and intensities for high-speed mechanisms, J. Eng. Ind., 97, 347, 10.1115/1.3438562

Townsend, 1975, A pendulating model for mechanisms with clearances in the revolutes, J. Eng. Ind., 97, 354, 10.1115/1.3438563

Dubowsky, 1975, Dynamic interactions of link elasticity and clearance connections in planar mechanical systems, J. Eng. Ind., 97, 652, 10.1115/1.3438630

Winfrey, 1973, Analysis of elastic machinery with clearances, J. Eng. Ind., 95, 695, 10.1115/1.3438212

Flores, 2004, Dynamic analysis for planar multibody mechanical systems with lubricated joints, Multibody Sys. Dyn., 12, 47, 10.1023/B:MUBO.0000042901.74498.3a

Earles, 1973, Motion analysis of a rigid link mechanism with clearance at a bearing using Lagrangian mechanics and digital computation, J. Mech., 83

Wu, 1977, A determination of contact-loss at a bearing of a linkage mechanism, J. Eng. Ind., 99, 375, 10.1115/1.3439239

Furuhashi, 1978, Research on dynamics of four-bar linkage with clearances at turning pairs (1st Report, General theory of continuous contact model), Bull. JSME, 21, 518, 10.1299/jsme1958.21.518

Morita, 1978, Research on dynamics of four-bar linkage with clearances at turning pairs (2nd Report, Analysis of crank-level mechanism with clearance at joint of crank and coupler using continuous contact model), Bull. JSME, 21, 1284, 10.1299/jsme1958.21.1284

Morita, 1978, Research on dynamics of four-bar linkage with clearances at turning pairs (3rd Report, Analysis of crank-level mechanism with clearance at joint of coupler and lever using continuous contact model), Bull. JSME, 21, 1292, 10.1299/jsme1958.21.1292

Furuhashi, 1978, Research on dynamics of four-bar linkage with clearances at turning pairs (4th Report, Force acting at joints of crank-level mechanism), Bull. JSME, 21, 1299, 10.1299/jsme1958.21.1299

Dubowsky, 1974, On predicting the dynamic effects of clearances in planar mechanisms, J. Eng. Ind., 96, 317, 10.1115/1.3438320

Claro, 2002, Influência da modelização das juntas na análise do desempenho de um mecanismo. 8as Jornadas Portuguesas de Tribologia, Aveiro, 215

Dubowsky, 1971, Dynamic analysis of mechanical systems with clearances, Part 1. Formulation of dynamic model, J. Eng. Ind., 93, 305, 10.1115/1.3427895

Dubowsky, 1971, Dynamic analysis of mechanical systems with clearances, Part 2. Dynamic response, J. Eng. Ind., 93, 310, 10.1115/1.3427896

Deck, 1994, On the limitations of predictions of the dynamic response of machines with clearance connections, J. Mech. Des., 116, 833, 10.1115/1.2919457

Dubowsky, 1987, The dynamic modeling of flexible spatial machine systems with clearance connections, J. Mech. Transm. Autom. Des., 109, 87, 10.1115/1.3258790

Dubowsky, 1977, Design and analysis of multilink flexible mechanisms with multiple clearance connections, J. Eng. Ind., 99, 88, 10.1115/1.3439171

Dubowsky, 1984, An analytical and experimental study of the prediction of impacts in planar mechanical systems with clearances, J. Mech. Transm. Autom. Des., 106, 444, 10.1115/1.3258592

Dubowsky, 1911, The dynamic analysis of flexibility in mobile robotic manipulator systems, 26

Dubowsky, 1974, On predicting the dynamic effects of clearances in one-dimensional closed loop systems, J. Eng. Ind., 96, 324, 10.1115/1.3438321

Dubowsky, 1978, An experimental and analytical study of impact forces in elastic mechanical systems with clearances, Mech. Mach. Theory, 13, 451, 10.1016/0094-114X(78)90018-6

Kakizaki, 1993, Modeling the spatial dynamics of robotic manipulators with flexible links and joint clearances, J. Mech. Des., 115, 839, 10.1115/1.2919277

Bahgat, 1979, On the effect of bearing clearances in the dynamic analysis of planar mechanisms, J. Mech. Eng. Sci., 21, 429, 10.1243/JMES_JOUR_1979_021_073_02

Osman, 1983, On the dynamic analysis of planar mechanisms with multiple clearances, Proc. IMechE Part C: J. Mech. Eng. Sci., 197, 89, 10.1243/PIME_PROC_1983_197_082_02

Bahgat, 1983, An approach for dynamic analysis of mechanical systems with multiple clearance using Lagrangian mechanics, Proc. IMechE Part C: J. Mech. Eng. Sci., 197, 17, 10.1243/PIME_PROC_1983_197_072_02

Megahed, 2012, Analysis of the dynamic behavioral performance of mechanical systems with multi-clearance joints, J. Comput. Nonlinear Dyn., 7, 10.1115/1.4004263

Shin, 1985, A design method for reducing the effects of clearances at revolute joints, Proc. IMechE Part C: J. Mech. Eng. Sci., 199, 153, 10.1243/PIME_PROC_1985_199_106_02

Seneviratne, 1996, Analysis of a four-bar mechanism with a radially compliant clearance joint, Proc. IMechE Part C: J. Mech. Eng. Sci., 210, 215, 10.1243/PIME_PROC_1996_210_191_02

Bengisu, 1986, A theoretical and experimental investigation of contact loss in the clearances of a four-bar mechanism, J. Mech. Transm. Autom. Des., 108, 237, 10.1115/1.3260808

Rhyu, 1988, Optimal stochastic design of four-bar mechanisms for tolerance and clearance, J. Mech. Transm. Autom. Des., 110, 255, 10.1115/1.3267455

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

Muvengei, 2012, Dynamic analysis of planar multi-body systems with LuGre friction at differently located revolute clearance joints, Multibody Sys. Dyn., 28, 369, 10.1007/s11044-012-9309-8

Yang, 2016, Vector form intrinsic finite element method for planar multibody systems with multiple clearance joints, Nonlinear Dyn, 86, 421, 10.1007/s11071-016-2898-7

Ting, 2004, Fundamentals of a vector form intrinsic finite element: Part I. Basic procedure and a plane frame element, J. Mech., 20, 113, 10.1017/S1727719100003336

Ting, 2004, Fundamentals of a vector form intrinsic finite element: Part II. Plane solid elements, J. Mech., 20, 123, 10.1017/S1727719100003348

Shih, 2004, Fundamentals of a vector form intrinsic finite element: Part III. Convected material frame and examples, J. Mech., 20, 133, 10.1017/S172771910000335X

Zhao, 2012, A dynamic analysis of reciprocating compressor transmission mechanism with joint clearance, Appl. Mech. Mater., 226-228, 641, 10.4028/www.scientific.net/AMM.226-228.641

Feng, 2002, A new optimization method for dynamic design of planar linkage with clearances at joints - Optimizing the mass distribution of links to reduce the change of joint forces, J. Mech. Des., 124, 68, 10.1115/1.1425393

Innocenti, 2002, Kinematic clearance sensitivity analysis of spatial structures with revolute joints, J. Mech. Des., 124, 52, 10.1115/1.1436088

Orden, 2005, Analysis of joint clearances in multibody systems, Multibody Sys. Dyn., 13, 401, 10.1007/s11044-005-3989-2

Bing, 2008, Dynamic analysis of the reheat-stop-valve mechanism with revolute clearance joint in consideration of thermal effect, Mech. Mach. Theory, 43, 1625, 10.1016/j.mechmachtheory.2007.12.004

Miedema, 1976, Mechanical joints with clearance: A three mode model, J. Eng. Ind., 98, 1319, 10.1115/1.3439107

Hertz, 1896, On the contact of solids, 146

Lankarani, 1990, A contact force model with hysteresis damping for impact analysis of multibody systems, J. Mech. Des., 112, 369, 10.1115/1.2912617

Ambrósio, 2003, 57

Goldsmith, 1960

S. Shivaswamy, Modeling Contact Forces and Energy Dissipation During Impact in Multibody Mechanical Systems, Wichita State University, 1997 Ph.D. thesis.

Love, 1944

Yigit, 1990, Spring-dashpot models for the dynamics of a radially rotating beam with impact, J. Sound Vib., 142, 515, 10.1016/0022-460X(90)90665-M

Thornton, 1997, Coefficient of restitution for collinear collisions of elastic-perfectly plastic spheres, J. Appl. Mech., 64, 383, 10.1115/1.2787319

Gugan, 2000, Inelastic collision and the Hertz theory of impact, Am. J. Phys, 68, 920, 10.1119/1.1285850

Rigaud, 2003, Experiments and numerical results on non-linear vibrations of an impacting Hertzian contact. Part 1: Harmonic excitation, J. Sound Vib, 265, 289, 10.1016/S0022-460X(02)01262-2

Kuwabara, 1987, Restitution coefficient in a collision between two spheres, Jpn. J. Appl. Phys, 26, 1230, 10.1143/JJAP.26.1230

Minamoto, 2009, Effects of material strain rate sensitivity in low speed impact between two identical spheres, Int. J. Impact Eng., 36, 680, 10.1016/j.ijimpeng.2008.10.001

Kagami, 1983, Contact between a sphere and a rough plate, Wear, 87, 93, 10.1016/0043-1648(83)90025-X

Vu-Quoc, 2000, A normal force-displacement model for contacting spheres accounting for plastic deformation: force-driven formulation, J. Appl. Mech., 67, 363, 10.1115/1.1305334

Vu-Quoc, 2001, Normal and tangential force-displacement relations for frictional elasto-plastic contact of spheres, Int. J. Solids Struct., 38, 6455, 10.1016/S0020-7683(01)00065-8

Burgin, 2008, Impact testing to determine the mechanical properties of articular cartilage in isolation and on bone, J. Mater. Sci. Mater. Med., 19, 703, 10.1007/s10856-007-3187-2

Yoshioka, 1997, A review of the micromechanical approach to the physics of contacting surfaces, Tectonophysics, 277, 29, 10.1016/S0040-1951(97)00076-0

Villaggio, 1996, The Rebound of an elastic sphere against a rigid wall, J. Appl. Mech., 63, 259, 10.1115/1.2788858

Ramírez, 1999, Coefficient of restitution of colliding viscoelastic spheres, Phys. Rev. E, 60, 4465, 10.1103/PhysRevE.60.4465

Wu, 2003, Rebound behaviour of spheres for plastic impacts, Int. J. Impact Eng., 28, 929, 10.1016/S0734-743X(03)00014-9

Li, 2000, Impact behavior of elastoplastic spheres with a rigid wall, Proc. IMechE Part C: J. Mech. Eng. Sci., 214, 1107, 10.1243/0954406001523551

Shi, 2005, Measurement and modeling of normal contact stiffness and contact damping at the meso scale, J. Vibr. Acoust., 127, 52, 10.1115/1.1857920

Tatara, 1982, Study on impact of equivalent two bodies: coefficients of restitution of spheres of brass, lead, glass, porcelain and agate, and the material properties, Bull. Jpn Soc. Mech. Eng., 25, 631, 10.1299/jsme1958.25.631

Tatara, 1989, Extensive theory of force-approach relations of elastic spheres in compression and in impact, J. Eng. Mater. Technol., 111, 163, 10.1115/1.3226449

Gonthier, 2004, A regularized contact model with asymmetric damping and dwell-time dependent friction, Multibody Sys. Dyn., 11, 209, 10.1023/B:MUBO.0000029392.21648.bc

Qin, 2006, Analysis of impact process based on restitution coefficient, J. Dyn. Control., 4, 294

Gharib, 2012, A new contact force model for low coefficient of restitution impact, J. Appl. Mech., 79, 4506, 10.1115/1.4006494

Tsuji, 1992, Lagrangian numerical simulation of plug flow of cohesionless particles in a horizontal pipe, Powder Technology, 71, 239, 10.1016/0032-5910(92)88030-L

Jankowski, 2006, Analytical expression between the impact damping ratio and the coefficient of restitution in the non-linear viscoelastic model of structural pounding, Earthq. Eng. Struct. Dyn., 35, 517, 10.1002/eqe.537

Schwager, 1998, Coefficient of normal restitution of viscous particles and cooling rate of granular gases, Phys. Rev. E, 57, 650, 10.1103/PhysRevE.57.650

Hunt, 1975, Coefficient of restitution interpreted as damping in vibroimpact, J. Appl. Mech., 42, 440, 10.1115/1.3423596

Herbert, 1977, Shape and frequency composition of pulses from an impact pair, J. Eng. Ind., 99, 513, 10.1115/1.3439270

Marhefka, 1999, A compliant contact model with nonlinear damping for simulation of robotic systems, IEEE Trans. Syst. Man. Cy. A, 29, 566, 10.1109/3468.798060

Zhang, 2009, Validation of nonlinear viscoelastic contact force models for low speed impact, J. Appl. Mech., 76, 911, 10.1115/1.3112739

Alves, 2015, A comparative study on the viscoelastic constitutive laws for frictionless contact interfaces in multibody dynamics, Mech. Mach. Theory, 85, 172, 10.1016/j.mechmachtheory.2014.11.020

Masoudi, 2016, A novel micromechanical model of nonlinear compression hysteresis in compliant interfaces of multibody systems, Multibody Sys. Dyn., 37, 325, 10.1007/s11044-015-9483-6

Xu, 2014, A general method for impact dynamic analysis of a planar multi-body system with a rolling ball bearing joint, Nonlinear Dyn, 78, 857, 10.1007/s11071-014-1482-2

Bai, 2015, Investigation on dynamic responses of dual-axis positioning mechanism for satellite antenna considering joint clearance, J. Mech. Sci. Technol., 29, 453, 10.1007/s12206-015-0105-2

Johnson, 1985

Wang, 2017, Effects of restitution coefficient and material characteristics on dynamic response of planar multi-body systems with revolute clearance joint, J. Mech. Sci. Technol., 31, 587, 10.1007/s12206-017-0111-7

Xu, 2017, Dynamic and motion consistency analysis for a planar parallel mechanism with revolute dry clearance joints, J. Mech. Sci. Technol., 31, 3199, 10.1007/s12206-017-0609-z

Ma, 2015, Dynamic analysis of mechanical systems with planar revolute joints with clearance, Mech. Mach. Theory, 94, 148, 10.1016/j.mechmachtheory.2015.08.011

Tan, 2017, A continuous analysis method of planar rigid-body mechanical systems with two revolute clearance joints, Multibody Sys. Dyn., 40, 347, 10.1007/s11044-016-9562-3

Zhang, 2017

Ambrósio, 2016, Planar roller chain drive dynamics using a cylindrical contact force model, Mech. Based Des. Struct. Mach., 44, 109, 10.1080/15397734.2015.1087319

Pereira, 2015, An enhanced cylindrical contact force model, Multibody Sys. Dyn., 35, 277, 10.1007/s11044-015-9463-x

Pfeiffer, 1996

Tasora, 2011, A matrix-free cone complementarity approach for solving large-scale, nonsmooth, rigid body dynamics, Comput. Methods Appl. Mech. Eng., 200, 439, 10.1016/j.cma.2010.06.030

Acary, 2013, Projected event-capturing time-stepping schemes for nonsmooth mechanical systems with unilateral contact and Coulomb's friction, Comput. Methods Appl. Mech. Eng., 256, 224, 10.1016/j.cma.2012.12.012

Thümmel, 1999, Multibody modelling of linkage mechanisms including friction, clearance and impact, 4, 1387

Krinner, 2014, Non-smooth behaviour of a linkage mechanism with revolute clearance joints, New Advances in Mechanisms, Transmissions and Applications, 233, 10.1007/978-94-007-7485-8_29

Dankowicz, 1999, On the modeling of dynamic friction phenomena, ZAMM J. Math. Mech., 79, 399, 10.1002/(SICI)1521-4001(199906)79:6<399::AID-ZAMM399>3.0.CO;2-K

Gaul, 2001, The role of friction in mechanical joints, Appl. Mech. Rev., 54, 93, 10.1115/1.3097294

Karnopp, 1985, Computer simulation of stick-slip friction in mechanical dynamic systems, J. Dyn. Syst. Meas. Control, 107, 100, 10.1115/1.3140698

Haessig, 1991, On the modelling and simulation of friction, J. Dyn. Syst. Meas. Control, 113, 354, 10.1115/1.2896418

Ahmed, 1999, Frictional impact analysis in open loop multibody mechanical system, J. Mech. Des., 121, 119, 10.1115/1.2829412

Lankarani, 2000, A Poisson based formulation for frictional impact analysis of multibody mechanical systems with open or closed kinematic chains, J. Mech. Des., 115, 489, 10.1115/1.1319160

Keller, 1986, Impact with friction, J. Appl. Mech., 53, 1, 10.1115/1.3171712

Wang, 1992, Two dimensional rigid-body collisions with friction, J. Appl. Mech., 59, 635, 10.1115/1.2893771

Han, 1993, Multi body impact motion with friction analysis, simulation, and validation, J. Mech. Des., 115, 412, 10.1115/1.2919206

Threlfall, 1978, The inclusion of Coulomb friction in mechanisms programs with particular reference to DRAM, Mech. Mach. Theory, 13, 475, 10.1016/0094-114X(78)90020-4

Wu, 1986, Dynamics of mechanical systems with Coulomb friction, stiction, impact and constraint addition deletion – II Planar systems, Mech. Mach. Theory, 21, 407, 10.1016/0094-114X(86)90089-3

Wu, 1986, Dynamics of mechanical systems with Coulomb friction, stiction, impact and constraint addition deletion – III Spatial systems, Mech. Mach. Theory, 21, 417, 10.1016/0094-114X(86)90090-X

Andersson, 2007, Friction models for sliding dry, boundary and mixed lubricated contacts, Tribol. Int., 40, 580, 10.1016/j.triboint.2005.11.014

Panovko, 1965

Armstrong-Helouvry, 1991

Stribeck, 1902, The key qualities of sliding and roller bearing, Zeitschrift des Vereines Seutscher Jngenieure, 46, 1342

Barwell, 1984, Tribology: A systems approach, Tribol. Int., 17, 299, 10.1016/0301-679X(84)90091-4

Wang, 1989, Position errors due to clearances in journal bearings, J. Mech. Transm.-T ASME, 111, 315, 10.1115/1.3259001

Ambrósio, 2009, Sensitivity of a vehicle ride to the suspension bushing characteristics, J. Mech. Sci. Technol, 23, 1075, 10.1007/s12206-009-0344-1

Dubowsky, 1979, On the development of criteria for the prediction of impact in the design of high speed systems with clearances, 968

Dhande, 1978, Mechanical error analysis of spatial linkages, J. Mech. Des., 100, 732, 10.1115/1.3454001

Hahnm, 1994, Mathematical modelling and computer simulation of rigid body systems including spatial joints with clearance, 261

Zakhariev, 1999, Dynamics of rigid multibody systems with clearances in the joints, Mech. Struct. Mach, 27, 63, 10.1080/08905459908915689

Jalón, 1994

Yan, 2015, A comprehensive model for 3D revolute joints with clearances in mechanical systems, Nonlinear Dyn, 80, 309, 10.1007/s11071-014-1870-7

2005

Pereira, 2014, Applicability domain of internal cylindrical contact force models, Mech. Mach. Theory, 78, 141, 10.1016/j.mechmachtheory.2014.03.010

Venanzi, 2005, A new technique for clearance influence analysis in spatial mechanisms, J. Mech. Des., 127, 446, 10.1115/1.1867512

Bu, 2010, Detachment avoidance of joint elements of a robotic manipulator with clearances based on trajectory planning, Mech. Mach. Theory, 45, 925, 10.1016/j.mechmachtheory.2010.01.006

Yudin, 1971, On the problem of the dynamics of mechanisms with clearance, A, 197

Veluswami, 1975, Multiple impacts of a ball between two plates - Part 2: Mathematical modeling, J. Eng. Ind., 97, 828, 10.1115/1.3438689

Gummer, 2012, Influence of contact geometry on local friction energy and stiffness of revolute joints, J. Tribol., 134, 10.1115/1.4006248

Isaac, 2017, Recent developments on cylindrical contact force models with realistic properties, 43, 10.1007/978-3-319-44156-6_22

Radzimovsky, 1953

1978

Ciavarella, 2001, The state of stress induced by the plane frictionless cylindrical contact 1: the case of elastic similarity, Int. J. Solids Struct., 38, 4507, 10.1016/S0020-7683(00)00289-4

Liu, 2006, Normal force-displacement relationship of spherical joints with clearances, J. Comput. Nonlinear Dyn., 1, 160, 10.1115/1.2162872

Flores, 2006, Dynamics of multibody systems with spherical clearance joints, J. Comput. Nonlinear Dyn., 1, 240, 10.1115/1.2198877

Wang, 2015, Dynamics analysis of spatial multibody system with spherical joint wear, J. Tribol., 137, 10.1115/1.4029277

Wang, 2015, Dynamics Analysis of 4-SPS/CU Parallel Mechanism with Spherical Joint Clearance, J. Mech. Eng., 51, 43, 10.3901/JME.2015.01.043

Askari, 2014, Nonlinear vibration and dynamics of ceramic on ceramic artificial hip joints: a spatial multibody modeling, Nonlinear Dyn., 76, 1365, 10.1007/s11071-013-1215-y

Askari, 2016, A review of squeaking in ceramic total hip prostheses, Tribol. Int., 93, 239, 10.1016/j.triboint.2015.09.019

Quental, 2016, A new shoulder model with a biologically inspired glenohumeral joint, Med. Eng. Phys., 38, 969, 10.1016/j.medengphy.2016.06.012

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

Noble, 1969, Exact solution of certain dual series for indentation and inclusion problems, Int. J. Eng. Sci., 7, 1149, 10.1016/0020-7225(69)90081-0

Luo, 2011, Development and validation of geometry-based compliant contact models, J. Comput. Nonlinear Dyn., 6, 10.1115/1.4002090

Bei, 2004, Multibody dynamic simulation of knee contact mechanics, Med. Eng. Phys., 26, 777, 10.1016/j.medengphy.2004.07.004

Awrejcewicz, 2003, Dynamics Investigation of Three Coupled Rods with Horizontal Barrier, Meccanica, 38, 687, 10.1023/A:1025881409419

Stoenescu, 2003, Dynamic analysis of a planar rigid-link mechanism with rotating slider joint and clearance, J. Sound Vib., 266, 394, 10.1016/S0022-460X(03)00053-1

Flores, 2008, Translational joints with clearance in rigid multibody systems, J. Comput. Nonlinear Dyn., 3, 10.1115/1.2802113

Lankarani, 1988

Wilson, 1971

Wilson, 1974, Dynamics of slider-crank mechanism with clearance in the sliding bearing, Mech. Mach. Theory, 9, 61, 10.1016/0094-114X(74)90008-1

Thümmel, 1999, Multibody Modeling of Linkage Mechanisms Including Friction, Clearance and Impact, 1375

Qi, 2011, Frictional contact analysis of spatial prismatic joints in multibody systems, Multibody Sys. Dyn., 26, 441, 10.1007/s11044-011-9264-9

Zhuang, 2014, Modeling and analysis of rigid multibody systems with driving constraints and frictional translation joints, Acta Mech. Sinica, 30, 437, 10.1007/s10409-014-0021-1

Chen, 2013, A nonsmooth generalized-α scheme for flexible multibody systems with unilateral constraints, Int. J. Numer. Meth. Eng., 96, 487, 10.1002/nme.4563

Brüls, 2014, Simultaneous enforcement of constraints at position and velocity levels in the nonsmooth generalized-α scheme, Comput. Methods Appl. Mech. Engrg., 281, 131, 10.1016/j.cma.2014.07.025

Ting, 2017, Clearance-induced output position uncertainty of planar linkages with revolute and prismatic joints, Mech. Mach. Theory, 111, 66, 10.1016/j.mechmachtheory.2016.09.012

Wu, 2017, Nonlinear dynamics response of a planar mechanism with two driving links and prismatic pair clearance, Math. Probl. Eng., 2017, 1, 10.1155/2017/3254631

Pinkus, 1961

Hamrock, 1994

Frêne, 1997

Chen, 2014, Modelling and diagnosis of big-end bearing knock fault in internal combustion engines, Proc. IMechE Part C: J. Mech. Eng. Sci., 228, 2973, 10.1177/0954406214524743

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

Vencl, 2014, Diesel engine crankshaft journal bearings failures: case study, Eng. Fail. Anal., 44, 217, 10.1016/j.engfailanal.2014.05.014

Dziedzic, 2016, The mechanisms of tribological wear in lubricated sliding bearings composed of soft bearing alloys with borided steel, Proc. IMechE Part J: J. Eng. Tribol., 230, 350, 10.1177/1350650115601878

Yang, 2016, Vibration condition monitoring system for wind turbine bearings based on noise suppression with multi-point data fusion, Renew. Energ., 92, 104, 10.1016/j.renene.2016.01.099

Zhang, 2014, Vibratory synchronization and coupling dynamic characteristics of multiple unbalanced rotors on a mass-spring rigid base, Int. J. Nonlinear Mech, 60, 1, 10.1016/j.ijnonlinmec.2013.12.002

Hou, 2015, Synchronization and stability of two unbalanced rotors with fast antirotation considering energy balance, Math. Probl. Eng., 10.1155/2015/694145

Booker, 1965, Dynamically loaded journal bearings: mobility method of solution, J. Basic Eng-T ASME, 87, 537, 10.1115/1.3650602

Goenka, 1984, Analytical curve fits for solution parameters of dynamically loaded journal bearings, J. Tribol., 106, 421, 10.1115/1.3260950

Stolarsky, 1990

Dowson, 1979, Cavitation in Bearings, Annual Rev. Fluid Mech., 11, 35, 10.1146/annurev.fl.11.010179.000343

Elrod, 1981, A Cavitation Algorithm, J. Lubr. Technol., 103, 350, 10.1115/1.3251669

D.E. Brewe, B.J. Hamrock, B.O. Jacobson, Theoretical and Experimental Comparison of Vapor Cavitation in Dynamically Loaded Journal Bearings, in: NASA Technical Memorandum 87121, USAAVSCOM, Technical Report 85-C-19, 1986.

Woods, 1989, The solution of the elrod algorithm for a dynamically loaded journal bearing using multigrid techniques, J. Tribol., 111, 302, 10.1115/1.3261914

Mistry, 1997, A new theoretical model for analysis of the fluid film in the cavitation zone of a journal bearing, J. Tribol., 119, 741, 10.1115/1.2833879

Ravn, 2000, Joint clearances with lubricated long bearings in multibody mechanical systems, J. Mech. Des., 122, 484, 10.1115/1.1314867

Flores, 2009, Lubricated revolute joints in rigid multibody systems, Nonlinear Dyn, 56, 277, 10.1007/s11071-008-9399-2

Moes, 1986, Mobility and impedance tensor methods for full and partial-arc journal bearings, J. Tribol., 108, 612, 10.1115/1.3261282

Bannwart, 2010, Hydrodynamic bearings modeling with alternate motion, Mech. Res. Commun, 37, 590, 10.1016/j.mechrescom.2010.07.003

Costa, 2016, Influence of the hip joint modeling approaches on the kinematics of human gait, J. Tribol., 138, 10.1115/1.4031988

Lopes, 2015, Shape analysis of the femoral head: a comparative study between spherical, (super) ellipsoidal, and (super) ovoidal shapes, J. Biomech. Eng., 137, 10.1115/1.4031650

A.A. Shabana, An Absolute Nodal Coordinates Formulation for the Large Rotation and Deformation Analysis of Flexible Bodies, Report. No. MBS96-1-UIC, University of Illinois at Chicago, 1996.

Meng, 2007, Analysis of the dynamic performances of a piston-crankshaft system considering oil-film forces reconstructed by a neural network, Proc. IMechE Part D: J. Aut. Eng., 221, 171, 10.1243/09544070JAUTO256

Zhao, 2016, Modeling and analysis of planar multibody system with mixed lubricated revolute joint, Tribol. Int., 98, 229, 10.1016/j.triboint.2016.02.024

Zhao, 2016, A new numerical method for piston dynamics and lubrication analysis, Tribol. Int., 94, 395, 10.1016/j.triboint.2015.09.037

Tian, 2011, A new model for dry and lubricated cylindrical joints with clearance in spatial flexible multibody system, Nonlinear Dyn, 64, 25, 10.1007/s11071-010-9843-y

Hori, 2006

Sun, 2004, Hydrodynamic lubrication analysis of journal bearing considering misalignment caused by shaft deformation, Tribol. Int., 37, 841, 10.1016/j.triboint.2004.05.007

Dowson, 1999, Past, present and future studies in elastohydrodynamics, Proc. IMechE Part J: J. Eng. Tri., 213, 317, 10.1243/1350650991542703

Lugt, 2011, A review of elasto-hydrodynamic lubrication theory, Tribol. T., 54, 470, 10.1080/10402004.2010.551804

Attia, 2010, Hydrodynamic and elastohydro dynamic studies of a cylindrical journal bearing, J. Hydrodyn., 22, 155, 10.1016/S1001-6058(09)60041-X

Slim, 2012, Acoustic analysis of hydrodynamic and elasto-hydrodynamic oil lubricated journal bearings, J. Hydrodyn., 24, 250, 10.1016/S1001-6058(11)60241-2

Brown, 2006, A review of lubrication conditions for wear simulation in artificial hip replacements, Tribol. T., 49, 72, 10.1080/05698190500519223

Huang, 2015

Wang, 2010, Tribological modelling of spherical bearings with complex spherical-based geometry and motion, WIT Trans. Eng. Sci., 66, 3, 10.2495/TD100011

Goenka, 1980

Flores, 2010, Spatial rigid-multi-body systems with lubricated spherical clearance joints: modeling and simulation, Nonlinear Dyn., 60, 99, 10.1007/s11071-009-9583-z

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

Luo, 1989, On the fuzzy view in the lubrication theory, Lubr. Eng., 4, 1

Mahrus, 1974, Experimental investigation into journal bearing performance, Revista Brasileira de Tecnologia, 5, 139

Haines, 1980, A theory of contact loss at resolute joints with clearance, J. Mech. Eng. Sci., 22, 129, 10.1243/JMES_JOUR_1980_022_027_02

A.A.S. Miranda, Oil flow, cavitation and film reformulation in journal bearings including interactive computer-aided design study, Department of Mechanical Engineering, University of Leeds, 1983 Ph.D. thesis.

J.C.P. Claro, Reformulação de método de cálculo de chumaceiras radiais hi-drodinâmicas - análise do desempenho considerando condições de alimentação, University of Minho, 1994 Ph.D. thesis.

L.A.M. Costa, Análise do desempenho de chumaceiras radiais hidrodinâmicas considerando efeitos térmicos, University of Minho, 2000 Ph.D. thesis.

Brito, 2012, Experimental comparison of the performance of a journal bearing with a single and a twin axial groove configuration, Tribol. Int., 54, 1, 10.1016/j.triboint.2012.04.026

Bouyer, 2002, An experimental analysis of misalignment effects on hydrodynamic plain journal bearing performances, J. Tribol., 124, 313, 10.1115/1.1402180

Sun, 2005, An experimental study of journal bearing lubrication effected by journal misalignment as a result of shaft deformation under load, J. Tribol., 127, 813, 10.1115/1.2033007

Fawcett, 1971, Effects of bearing clearance in a four-bar linkage, 111

Shimojima, 1978, Dynamic characteristics of planar mechanisms with clearance, Bulletin JSME, 21, 303, 10.1299/jsme1958.21.303

Grant, 1979, Effects of clearance at the coupler-rocker bearing of a 4-bar linkage, Mech. Mach. Theory, 14, 99, 10.1016/0094-114X(79)90025-9

Li, 1992, A new method of predicting the occurrence of contact loss between pairing elements in planar linkages with clearances, Mech. Mach. Theory, 27, 295, 10.1016/0094-114X(92)90019-E

Pfeiffer, 1992, Stick-slip vibration in machine dynamics, Machine Vibration, 1, 20

Stammers, 1991, Theoretical and experimental study of the dynamics of a four bar chain with bearing clearance, pin motion, contact loss and impacts, J. Sound Vib., 50, 301, 10.1016/0022-460X(91)90622-Q

Tasora, 2004, Experimental investigation of clearance effects in a revolute joint, 14

Soong, 1990, A theoretical and experimental investigation of the dynamic response of a slider-crank mechanism with radial clearance in the gudgeon-pin joint, J. Mech. Des., 112, 183, 10.1115/1.2912591

Jia, 2002, Investigation on the dynamic performance of the tripod-ball sliding joint with clearance in a crank-slider mechanism. Part 1. Theoretical and experimental results, J. Sound Vib., 252, 919, 10.1006/jsvi.2001.3873

Ravn, 1999, Modeling joint clearances in multibody mechanical systems

Lankarani, 2003, Methodologies for treatment of impact in multibody mechanical systems

Lai, 2017, Computational prediction and experimental validation of revolute joint clearance wear in the low-velocity planar mechanism, Mech. Syst. Signal Pr, 85, 963, 10.1016/j.ymssp.2016.09.027

Dubowsky, 1975, An experimental and analytical study of connection forces in high-speed mechanisms, J. Eng. Ind., 97B, 1166, 10.1115/1.3438721

Khemili, 2008, Dynamic analysis of a flexible slider-crank mechanism with clearance, Eur. J. Mech. A/Solid, 27, 882, 10.1016/j.euromechsol.2007.12.004

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

M. Ahmedalbashir, Dynamic analysis of flexible mechanisms with clearance, MSc Dissertation, American University of Sharjah, United Arab Emirates, 2016.

Liu, 2013, Nonlinear characteristics of revolute joints with clearance, J. Aerosp. Technol. Manag, 5, 341, 10.5028/jatm.v5i3.236

Gahr, 1987

Meng, 1995, Wear models and predictive equations: their form and content, Wear, 181, 443, 10.1016/0043-1648(95)90158-2

Reye, 1860, Zur theorie der zapfengreibund, Der Civilingenieur, 4, 235

Strömberg, 2003, A method for structural dynamic contact problems with friction and wear, Int. J. Numer. Meth. Eng., 58, 2371, 10.1002/nme.858

Moreau, 1994, Some numerical methods in multibody dynamics: application to granular materials, Eur. J. Mech. A/Solid, 13, 93

Flores, 2009, Modeling and simulation of wear in revolute clearance joints in multibody systems, Mech. Mach. Theory, 44, 1211, 10.1016/j.mechmachtheory.2008.08.003

Lin, 2009, Two-dimensional surrogate contact modeling for computationally efficient dynamic simulation of total knee replacements, J. Biomech. Eng., 131, 10.1115/1.3005152

Su, 2010, Wear prediction of clearance joint by integrating multi-body kinematics with finite-element method, Proc. IMechE Part J: J. Eng. Tri., 224, 815, 10.1243/13506501JET783

Sawyer, 2001, Wear predictions for a simple-cam including the coupled evolution of wear and load, Lubr. Eng., 57, 31

Bai, 2014, Wear prediction for dry revolute joint with clearance in multibody system by integrating dynamics model and wear model, Lat. Am. J. Solids Stru., 11, 2624, 10.1590/S1679-78252014001400005

Zhao, 2014, Numerical study of parametric effects on joint wear in the flexible multibody systems with different flexibilities and clearance sizes, Proc. IMechE Part J: J. Eng. Tribol., 228, 819, 10.1177/1350650114531745

Zhao, 2014, Modeling and prediction of wear at revolute clearance joints in flexible multibody systems, Proc. IMechE Part J: J. Eng. Tribol., 228, 317, 10.1177/0954406213486384

Zhao, 2015, Numerical study of the effects on clearance joint wear in flexible multibody mechanical system, Tribol. T., 58, 385, 10.1080/10402004.2014.977475

Askari, 2015, Dynamic modeling and analysis of wear in spatial hard-on-hard couple hip replacements using multibody systems methodologies, Nonlinear Dyn, 82, 1039, 10.1007/s11071-015-2216-9

Wang, 2017, Dynamic analysis of 4-SPS/CU parallel mechanism considering three-dimensional wear of spherical joint with clearance, J. Tribol, 139, 10.1115/1.4034763

Farahan, 2017, Bifurcation in a planar four-bar mechanism with revolute clearance joint, Nonlinear Dyn, 87, 955, 10.1007/s11071-016-3091-8

Xiang, 2014, Complexity evaluation of nonlinear dynamic behavior of mechanisms with clearance joints by using the fractal method, Proc. IMechE Part C: J. Mech. Eng. Sci., 228, 3482, 10.1177/0954406214531251

Varedi, 2015, Optimal dynamic design of a planar slider-crank mechanism with a joint clearance, Mech. Mach. Theory, 86, 191, 10.1016/j.mechmachtheory.2014.12.008

Sun, 2013, Deviation analysis and optimization of offset slider-crank mechanism based on the simulation, Inform. Technol. J., 12, 2390, 10.3923/itj.2013.2390.2397

Jawale, 2013, Positional error estimation in serial link manipulator under joint clearances and backlash, J. Mech. Robot., 5, 10.1115/1.4023556

Cammarata, 2017, A novel method to determine position and orientation errors in clearance-affected overconstrained mechanisms, Mech. Mach. Theory, 118, 247, 10.1016/j.mechmachtheory.2017.08.012

Younes, 2014, Three-dimensional study for the relative positioning of mechanical elements in mechanisms constituted by parallel joints with clearances, Mech. Eng. Int. J., 1, 1

Varedi, 2015, Dynamic synthesis of a planar slider-crank mechanism with clearances, Nonlinear Dyn, 79, 1587, 10.1007/s11071-014-1762-x

Yaqubi, 2016, Modeling and control of crank–slider mechanism with multiple clearance joints, Multibody Sys. Dyn., 36, 143, 10.1007/s11044-015-9486-3

Yaqubi, 2016, Nonlinear dynamics and control of crank–slider mechanism with link flexibility and joint clearance, Proc. IMechE Part C: J. Mech. Eng. Sci., 230, 737, 10.1177/0954406215593773

Rahmanian, 2015, Bifurcation in planar slider–crank mechanism with revolute clearance joint, Mech. Mach. Theory, 91, 86, 10.1016/j.mechmachtheory.2015.04.008

Pyragas, 1992, Continuous control of chaos by self-controlling feedback, Phys. Lett. A, 170, 421, 10.1016/0375-9601(92)90745-8

Zhao, 2015, A parameters optimization method for planar joint clearance model and its application for dynamics simulation of reciprocating compressor, J. Sound Vib, 344, 416, 10.1016/j.jsv.2015.01.044

Quaranta, 2011, Finite element analysis with uncertain probabilities, Comput. Methods Appl. Mech. Eng., 200, 114, 10.1016/j.cma.2010.07.018

Moens, 2011, Non-probabilistic finite element analysis for parametric uncertainty treatment in applied mechanics: Recent advances, Finite Elem. Anal. Des., 47, 4, 10.1016/j.finel.2010.07.010

Moore, 1966

Pang, 2014, Analyses of kinematic accuracy reliability and sensitivity for a planar linkage mechanism, Zhongguo Jixie Gongcheng/China Mech. Eng., 25, 2415

Pandey, 2012, System reliability analysis of the robotic manipulator with random joint clearances, Mech. Mach. Theory, 58, 137, 10.1016/j.mechmachtheory.2012.08.009

Yan, 2011, Kinematic accuracy analysis of flexible mechanisms with uncertain link lengths and joint clearances, Proc. IMechE Part C: J. Mech. Eng. Sci., 225, 1973, 10.1177/0954406211401499

Chen, 2013, A unified approach to the accuracy analysis of planar parallel manipulators both with input uncertainties and joint clearance, Mech. Mach. Theory, 64, 1, 10.1016/j.mechmachtheory.2013.01.005

Sun, 2014, Wear prediction of a mechanism with joint clearance involving aleatory and epistemic Uncertainty, J. Tribol., 136, 10.1115/1.4027607

Sun, 2016, Kinematic accuracy analysis of planar mechanisms with clearance involving random and epistemic uncertainty, Eur. J. Mech. A-Solid, 58, 256, 10.1016/j.euromechsol.2016.02.007

Wang, 2016, Nonlinear dynamics and chaotic control of planar flexible multibody systems with interval clearance size joint, Nonlinear Dyn, 86, 1571, 10.1007/s11071-016-2978-8

Wu, 2015, A new interval uncertain optimization method for structures using Chebyshev surrogate models, Comput. Struct., 146, 185, 10.1016/j.compstruc.2014.09.006

Luo, 2012, Robust mechanism synthesis with truncated dimension variables and interval clearance variables, Mech. Mach. Theory, 57, 71, 10.1016/j.mechmachtheory.2012.07.005

Ma, 2016, Online parameter estimation of the Lankarani–Nikravesh contact force model using two different methods, Int. J. Comput. Methods, 13, 10.1142/S0219876216410176

Ma, 2015, Unscented kalman filter for parameter estimation of the lankarani-Nikravesh Contact Force Model, 25

Haddadi, 2012, Real-time identification of Hunt-Crossley dynamic models of contact environments, IEEE Trans. Robot., 28, 555, 10.1109/TRO.2012.2183054

Shin, 2016, A new parameter estimation method for online soft tissue characterization, J. Mech. Med. Biol., 16, 10.1142/S0219519416400194

Aginaga, 2013, Assessing position error due to clearances and deformations of links in parallel manipulators, J. Mech. Design, 135, 10.1115/1.4023633

Li, 2013, Effects of damping, friction, gravity, and flexibility on the dynamic performance of a deployable mechanism with clearance, Proc. IMechE Part C: J. Mech. Eng. Sci., 227, 1791, 10.1177/0954406212469563

Zhao, 2013, Prediction of wear in revolute clearance joints in flexible multibody systems, Mocaxue Xuebao/Tribology, 33, 638