A comparative study of the viscoelastic constitutive models for frictionless contact interfaces in solids
Tóm tắt
Từ khóa
Tài liệu tham khảo
Rahnejat, 2000, Multi-body dynamics: historical evolution and application, Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci., 214, 149, 10.1243/0954406001522886
Eberhard, 2006, Computational dynamics of multibody systems: history, formalisms, and applications, J. Comput. Nonlinear Dyn., 1, 3, 10.1115/1.1961875
Schiehlen, 2007, Research trends in multibody system dynamics, Multibody Syst. Dyn., 18, 3, 10.1007/s11044-007-9064-4
Nikravesh, 2008, Newtonian-based methodologies in multi-body dynamics, Proc. Inst. Mech. Eng. K J. Multi-body Dyn., 222, 277
Nikravesh, 1988
Flores, 2008, Kinematics and dynamics of multibody systems with imperfect joints: models and case studies, 34
Nikravesh, 2008
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
Ambrósio, 2009, Improved bushing models for general multibody systems and vehicle dynamics, Multibody Syst. Dyn., 22, 341, 10.1007/s11044-009-9161-7
Machado, 2010, Development of a planar multi-body model of the human knee joint, Nonlinear Dyn., 60, 459, 10.1007/s11071-009-9608-7
Dopico, 2010, Dealing with multiple contacts in a human-in-the-loop application, Multibody Syst. Dyn., 25, 167, 10.1007/s11044-010-9230-y
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
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
Ebrahimi, 2005, Extension of polygonal contact model for flexible multibody systems, Int. J. Appl. Math. Mech., 1, 33
Hirschkorn, 2006, Dynamic modeling and experimental testing of a piano action mechanism, J. Comput. Nonlinear Dyn., 1, 47, 10.1115/1.1951782
Zhang, 2009, Validation of nonlinear viscoelastic contact force models for low speed impact, J. Appl. Mech., 051002, 12
Choi, 2010, An efficient and robust contact algorithm for a compliant contact force model between bodies of complex geometry, Multibody Syst. Dyn., 23, 99, 10.1007/s11044-009-9173-3
Bhalerao, 2010, Modeling intermittent contact for flexible multibody systems, Nonlinear Dyn., 60, 63, 10.1007/s11071-009-9580-2
Minamoto, 2011, Moderately high speed impact of two identical spheres, Int. J. Impact Eng., 38, 123, 10.1016/j.ijimpeng.2010.09.005
Flores, 2012, Application of the nonsmooth dynamics approach to model and analysis of the contact–impact events in cam-follower systems, Nonlinear Dyn., 69, 2117, 10.1007/s11071-012-0413-3
Shabana, 2004, Development of elastic force model for wheel/rail contact problems, J. Sound Vib., 269, 295, 10.1016/S0022-460X(03)00074-9
Pombo, 2010, A study on wear evaluation of railway wheels based on multibody dynamics and wear computation, Multibody Syst. Dyn., 24, 347, 10.1007/s11044-010-9217-8
Pombo, 2012, Multiple pantograph interaction with catenaries in high-speed trains, J. Comput. Nonlinear Dyn., 7, 7
Beheshti, 2006, A simplified test methodology for crashworthiness evaluation of aircraft seat cushions, Int. J. Crashworthiness, 11, 27, 10.1533/ijcr.2005.0381
Sousa, 2008, Development of generic multibody road vehicle models for crashworthiness, Multibody Syst. Dyn., 19, 133, 10.1007/s11044-007-9093-z
Carvalho, 2011, Development of generic road vehicle multibody models for crash analysis using an optimization approach, Int. J. Crashworthiness, 16, 537, 10.1080/13588265.2011.611398
Marhefka, 1999, A compliant contact model with nonlinear damping for simulation of robotic systems, IEEE Trans. Syst. Man Cybern. Syst. Hum., 29, 566, 10.1109/3468.798060
Verscheure, 2010, Identification of contact dynamics parameters from stiff multi-point contact robotic operations, Int. J. Robot. Res., 29, 367, 10.1177/0278364909336805
Bi, 2012, Impact modelling and analysis of the compliant legged robots, Proc. Inst. Mech. Eng. K J. Multi-body Dyn., 226, 85
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
Silva, 2010, Evaluation of the contact forces developed in the lower limb/orthosis interface for comfort design, Multibody Syst. Dyn., 24, 367, 10.1007/s11044-010-9219-6
Argatov, 2012, Development of an asymptotic modeling methodology for tibio-femoral contact in multibody dynamic simulations of the human knee joint, Multibody Syst. Dyn., 28, 3, 10.1007/s11044-011-9275-6
Erkaya, 2008, A neural-genetic (NN-GA) approach for optimizing mechanisms having joints with clearance, Multibody Syst. Dyn., 20, 69, 10.1007/s11044-008-9106-6
Flores, 2010, Spatial rigid-multibody systems with lubricated spherical clearance joints: modeling and simulation, Nonlinear Dyn., 60, 99, 10.1007/s11071-009-9583-z
Xu, 2012, Modeling and analysis of planar multibody systems containing deep groove ball bearing with clearance, Mech. Mach. Theory, 56, 69, 10.1016/j.mechmachtheory.2012.05.009
Izadbakhsh, 2008, Dynamic modeling and experimental testing of a piano action mechanism with a flexible hammer shank, J. Comput. Nonlinear Dyn., 3, 10
Lankarani, 1999, A Poisson-based formulation for frictional impact analysis of multibody mechanical systems with open or closed kinematic chains, J. Mech. Des., 122, 489, 10.1115/1.1319160
Lankarani, 1998, Application of the canonical equations of motion in problems of constrained multibody systems with intermittent motion, Adv. Des. Autom., 14, 417
Machado, 2012, Compliant contact force models in multibody dynamics: evolution of the Hertz contact theory, Mech. Mach. Theory, 53, 99, 10.1016/j.mechmachtheory.2012.02.010
Khulief, 2013, Modeling of impact in multibody systems: an overview, J. Comput. Nonlinear Dyn., 8, 15
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
Lankarani, 1988, Canonical equations of motion and estimation of parameters in the analysis of impact problems
Roy, 2012, A damping term based on material properties for the volume-based contact dynamics model, Int. J. Non-linear Mech., 47, 103, 10.1016/j.ijnonlinmec.2012.01.006
Greenwood, 1965
Flores, 2007, Dynamic behaviour of planar multibody systems including revolute joints with clearance, Proc. Inst. Mech. Eng. K J. Multi-body Dyn., 221, 161
Pereira, 1994, Impact dynamics of multibody systems with frictional contact using joint coordinates and canonical equations of motion, Nonlinear Dyn., 9, 53, 10.1007/BF01833293
Shivaswamy, 1997, Impact analysis of plate using quasi-static approach, J. Mech. Des., 119, 376, 10.1115/1.2826358
Machado, 2011, Influence of the contact model on the dynamic response of the human knee joint, Proc. Inst. Mech. Eng. K J. Multi-body Dyn., 225, 344
Flores, 2010, On the contact detection for contact–impact analysis in multibody systems, Multibody Syst. Dyn., 24, 103, 10.1007/s11044-010-9209-8
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
Lankarani, 1994, Continuous contact force models for impact analysis in multibody systems, Nonlinear Dyn., 5, 193, 10.1007/BF00045676
Dias, 1995, Dynamics of flexible mechanical systems with contact–impact and plastic deformations, Nonlinear Dyn., 8, 491, 10.1007/BF00045710
Pfeiffer, 1996
Förg, 2005, Simulation of unilateral constrained systems with many bodies, Multibody Syst. Dyn., 14, 137, 10.1007/s11044-005-0725-x
Ebrahimi, 2006, A linear complementarity formulation on position level for frictionless impact of planar deformable bodies, ZAMM Z. Angew. Math. Mech., 86, 807, 10.1002/zamm.200510288
Acary, 2008, Numerical methods for nonsmooth dynamical systems: applications in mechanics and electronics, 35, 10.1007/978-3-540-75392-6
Brogliato, 2002, Numerical simulations of finite dimensional multibody nonsmooth mechanical systems, Appl. Mech., 55, 107, 10.1115/1.1454112
Glocker, 2003, Complementarity problems in multibody systems with planar friction, Arch. Appl. Mech., 63, 452, 10.1007/BF00788043
Pang, 1996, Complementarity formulations and existence of solutions of dynamic multi-rigid-body contact problems with Coulomb friction, Math. Program., 73, 199, 10.1007/BF02592103
Pfeiffer, 2003, The idea of complementarity in multibody dynamics, Arch. Appl. Mech., 72, 807, 10.1007/s00419-002-0256-3
Signorini, 1933, Sopra alcune questioni di elastostatica
Moreau, 1979, Application of convex analysis to some problems of dry friction, 2, 263
Panagiotopoulos, 1985, Inequality problems in mechanics and applications
Kwak, 1991, Complementarity problem formulation of three-dimensional frictional contact, J. Appl. Mech., 58, 134, 10.1115/1.2897140
Anitescu, 1997, Formulating dynamic multi-rigid-body contact problems with friction as solvable linear complementarity problems, Nonlinear Dyn., 14, 231, 10.1023/A:1008292328909
Brogliato, 2003, Some perspectives on the analysis and control of complementarity systems, IEEE Trans. Autom. Control, 48, 918, 10.1109/TAC.2003.812777
Goldsmith, 1960
Stronge, 2000
Wriggers, 2006
Kozlov, 1991, A generic introduction to the dynamics of system with impacts, Am. Math. Soc.
Newton, 1687
Gilardi, 2002, Literature survey of contact dynamics modeling, Mech. Mach. Theory, 37, 1213, 10.1016/S0094-114X(02)00045-9
Atanackovic, 2004, On viscoelastic compliant contact–impact models, J. Appl. Mech., 71, 134, 10.1115/1.1629106
Font-Llagunes, 2012, Dynamic analysis of impact in swing-through crutch gait using impulsive and continuous contact models, Multibody Syst. Dyn., 28, 257, 10.1007/s11044-011-9300-9
Flores, 2008, Translational joints with clearance in rigid multi-body systems, J. Comput. Nonlinear Dyn., 3, 10
Brach, 1991
Beer, 1997, Vector mechanics for engineers
Moradi, 2012, Lumbar load attenuation for rotorcraft occupants using a design methodology for the seat impact energy-absorbing system, Cent. Eur. J. Eng., 2, 562, 10.2478/s13531-012-0030-4
Lazan, 1968, Damping of materials and members in structural mechanics
Nashif, 1985
Yigit, 2011, A nonlinear visco-elastoplastic impact model and the coefficient of restitution, Nonlinear Dyn., 66, 509, 10.1007/s11071-010-9929-6
Thornton, 1997, Coefficient of restitution for collinear collisions of elastic-perfectly plastic spheres, J. Appl. Mech., 64, 383, 10.1115/1.2787319
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
Wu, 2005, Energy dissipation during normal impact of elastic and elastic–plastic spheres, Int. J. Impact Eng., 32, 593, 10.1016/j.ijimpeng.2005.08.007
Dietl, 2000, Rolling bearing damping for dynamic analysis of multi-body systems — experimental and theoretical results, Proc. Inst. Mech. Eng. K J. Multi-body Dyn., 214, 33
Sorensen, 2011, Implicit identification of contact parameters in a continuous chain model, Model. Identif. Control., 32, 1, 10.4173/mic.2011.1.1
Lopes, 2010, A mathematical framework for contact detection between quadric and superquadric surfaces, Multibody Syst. Dyn., 24, 255, 10.1007/s11044-010-9220-0
Ramírez, 1999, Coefficient of restitution of colliding viscoelastic spheres, Phys. Rev. E., 60, 4465, 10.1103/PhysRevE.60.4465
Luo, 2011, Development and validation of geometry-based compliant contact models, J. Comput. Nonlinear Dyn., 6, 11
Seifried, 2010, The role of the coefficient of restitution on impact problems in multi-body dynamics, Proc. Inst. Mech. Eng. K J. Multi-body Dyn., 224, 279
Najafabadi, 2008, Generalization of the energetic coefficient of restitution for contacts in multibody systems, J. Nonlinear Comput. Dyn., 3, 14
Zukas, 1982
Oden, 1984, Models and computational methods for dynamic friction phenomena
Hunt, 1975, Coefficient of restitution interpreted as damping in vibroimpact, J. Appl. Mech., 7, 440, 10.1115/1.3423596
Bibalan, 2009, A study of soft contact models in simulink, 8
Moreira, 2010, A biomechanical multibody foot model for forward dynamic analysis, 10
Guess, 2010, A subject specific multibody model of the knee with menisci, Med. Eng. Phys., 32, 505, 10.1016/j.medengphy.2010.02.020
Lankarani, 1990, A contact force model with hysteresis damping for impact analysis of multibody systems, J. Mech. Des., 112, 369, 10.1115/1.2912617
Flores, 2011, On the continuous contact force models for soft materials in multibody dynamics, Multibody Syst. Dyn., 25, 357, 10.1007/s11044-010-9237-4
Herbert, 1977, Shape and frequency composition of pulses from an impact pair, J. Eng. Ind., 99, 513, 10.1115/1.3439270
Zhang, 2004, Compliant force modeling for impact analysis
Hertz, 1881, Über die Berührung fester elastischer Körper, J. Reine und Angew. Math., 92, 156
Anagnostopoulos, 1988, Pounding of buildings in series during earthquakes, Earthq. Eng. Struct. Dyn., 16, 443, 10.1002/eqe.4290160311
Ristow, 1992, Simulating granular flow with molecular dynamics, J. Phys.I Fr., 2, 649, 10.1051/jp1:1992159
Shäfer, 1996, Force schemes in simulations of granular materials, J. Phys. I Fr., 6, 5, 10.1051/jp1:1996129
Lee, 1993, Angle of repose and angle of marginal stability: molecular dynamics of granular particles, J. Phys., A26, 373
Lee, 1983, On the dynamics of intermittent-motion mechanisms. Part 1: dynamic model and response, J. Mech. Transm. Autom. Des., 105, 534, 10.1115/1.3267392
Gonthier, 2004, A regularized contact model with asymmetric damping and dwell-time dependent friction, Multibody Syst. Dyn., 11, 209, 10.1023/B:MUBO.0000029392.21648.bc
Zhiying, 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, 064506, 10.1115/1.4006494
Kuwabara, 1987, Restitution coefficient in a collision between two spheres, Jpn. J. Appl. Phys., 26, 1230, 10.1143/JJAP.26.1230
Brilliantov, 1996, The collision of particles in granular systems, Phys. A: Stat. Mech. Appl., 231, 417, 10.1016/0378-4371(96)00099-4
Brilliantov, 1996, Model for collisions in granular gases, Phys. Rev. E., 53, 5382, 10.1103/PhysRevE.53.5382
Tsuji, 1992, Lagrangian numerical simulation of plug flow of cohesionless particles in a horizontal pipe, Powder Technol., 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
Bordbar, 2007, Modeling of binary collision between multisize viscoelastic spheres, J. Numer. Anal. Ind. Appl. Math., 2, 115
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
Kruggel-Emden, 2007, Review and extension of normal force models for the Discrete Element Method, Powder Technol., 171, 157, 10.1016/j.powtec.2006.10.004
Kruggel-Emden, 2006, Modeling of granular flow and combined heat transfer in hoppers by the Discrete Element Method (DEM), J. Press. Vessel. Technol., 128, 439, 10.1115/1.2218349
Limtrakul, 2004, DEM modeling and simulation of a catalytic gas–solid fluidized bed reactor: a spouted bed as a case study, Chem. Eng. Sci., 59, 5225, 10.1016/j.ces.2004.09.020
Lätzel, 2003, Comparing simulation and experiment of a 2D granular couette shear device, Eur. Phys. J. E: Soft Matter, 11, 325, 10.1140/epje/i2002-10160-7
Kuoa, 2002, The influence of DEM simulation parameters on the particle behaviour in a V-mixer, Chem. Eng. Sci., 57, 3621, 10.1016/S0009-2509(02)00086-6
Pàmies-Vilà, 2014, Parameter identification method for a three-dimensional foot–ground contact model, Mech. Mach. Theory, 75, 107, 10.1016/j.mechmachtheory.2014.01.010
Pereira, 2011, A critical overview of internal and external cylinder contact force models, Nonlinear Dyn., 63, 681, 10.1007/s11071-010-9830-3
Jackson, 2010, Predicting the coefficient of restitution of impacting elastic-perfectly plastic spheres, Nonlinear Dyn., 60, 217, 10.1007/s11071-009-9591-z
Machado, 2012, Dynamic response of multibody systems with 3D contact–impact events: influence of the contact force model, 2
Zhang, 2014, A Kriging model for the dynamics of mechanical systems with revolute joint clearances, ASME J. Comput. Nonlinear Dyn., 9
Flores, 2012, Dynamic response of multibody systems with multiple clearance joints, ASME J. Comput. Nonlinear Dyn., 7, 031003, 10.1115/1.4005927
Tian, 2013, Elastohydrodynamic lubricated cylindrical joints for rigid–flexible multibody dynamics, Comput. Struct., 114–115, 106, 10.1016/j.compstruc.2012.10.019
Erkaya, 2013, Trajectory optimization of a walking mechanism having revolute joints with clearance using ANFIS approach, Nonlinear Dyn., 71, 75, 10.1007/s11071-012-0642-5
Lugrís, 2013, Solution methods for the double-support indeterminacy in human gait, Multibody Syst. Dyn., 30, 247, 10.1007/s11044-013-9363-x
Muvengei, 2013, Dynamic analysis of planar rigid-body mechanical systems with two-clearance revolute joints, Nonlinear Dyn., 73, 259, 10.1007/s11071-013-0782-2
Carvalho, 2013, Multibody simulation of the musculoskeletal system of the human hand, Multibody Syst. Dyn., 29, 271, 10.1007/s11044-012-9325-8
Piatkowski, 2014, Dahl and LuGre dynamic friction models — the analysis of selected properties, Mech. Mach. Theory, 73, 91, 10.1016/j.mechmachtheory.2013.10.009
Liang, 2012, An extended bristle friction force model with experimental validation, Mech. Mach. Theory, 56, 123, 10.1016/j.mechmachtheory.2012.06.002
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
Yao, 2005, Energetic coefficient of restitution for planar impact in multi-rigid-body systems with friction, Int. J. Impact Eng., 31, 255, 10.1016/j.ijimpeng.2003.12.007
Li, 2002, A theoretical model for the contact of elastoplastic bodies, Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci., 216, 421, 10.1243/0954406021525214
Vu-Quoc, 1999, An elastoplastic contact force-displacement model in the normal direction: displacement-driven version, Proc. R. Soc. Lond. A, 455, 4013, 10.1098/rspa.1999.0488
Anderson, 2009, Phenomenological continuous contact–impact modelling for multibody simulations of pedestrian–vehicle contact interactions based on experimental data, Nonlinear Dyn., 58, 199, 10.1007/s11071-009-9471-6
Muller, 2012, Oblique impact of frictionless spheres: on the limitations of hard sphere models for granular dynamics, Granul. Matter, 14, 115, 10.1007/s10035-012-0324-5
Liu, 2013, The effect of liquids on radial segregation of granular mixtures in rotating drums, Granul. Matter, 15, 427, 10.1007/s10035-013-0392-1
Yang, 2013, DEM analysis of particle adhesion during powder mixing for dry powder inhaler formulation development, Granul. Matter, 15, 417, 10.1007/s10035-013-0405-0
Love, 1944