A critical overview of internal and external cylinder contact force models

Nonlinear Dynamics

Volumn 63, Issue 4, 2011, Pages 681-697

  Pereira, Cândida M ^a   Ramalho, Amílcar L ^b   Ambrósio, Jorge A ^c  

^a POLYTECHNIC INSTITUTE OF COIMBRA   (Portugal)

^b UNIVERSITY OF COIMBRA   (Portugal)

^c UNIVERSITY OF LISBON   (Portugal)

Author keywords

Contact mechanics; Continuous contact force model; Hertz contact models; Multibody contact; Penalty formulation

Indexed keywords

CONTACT FORCE MODELS; CONTACT MECHANICS; HERTZ CONTACT MODELS; MULTI-BODY; PENALTY FORMULATION;

CHAINS; CYLINDERS (SHAPES); DYNAMIC ANALYSIS; END EFFECTORS; FUNCTIONS; JOURNAL BEARINGS; MATHEMATICAL MODELS; MECHANICAL DRIVES; MECHANICS; NONLINEAR EQUATIONS; SAFETY FACTOR;

MODELS;

EID: 79952002106     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-010-9830-3     Document Type: Article

References (38)

1. Zukas, J.A., Nicholas, T., Greszczuk, L.B., Curran, D.R.: Impact Dynamics. Wiley, New York (1982)
2. Ravn, P.: Analysis and synthesis of planar mechanical systems including flexibility, contact and joint clearance. Ph.D. Dissertation, DCAMM Report No. S78, Technical University of Denmark, Lyngby, Denmark (1998)
3. S. Shivaswamy H.M. Lankarani 1997 Impact analysis of plates using quasi-static approach J. Mech. Des. 119 376 381 10.1115/1.2826358 (Pubitemid 127709753)
4. K.L. Johnson 1982 One hundred years of Hertz contact Proc. Inst. Mech. Eng. 196 363 378 10.1243/PIME-PROC-1982-196-039-02
5. Johnson, K.L.: Contact Mechanics. Cambridge University Press, Cambridge (1994)
6. C.T. Lim W.J. Stronge 1999 Oblique elastic-plastic impact between rough cylinders in plane strain Int. J. Eng. Sci. 37 97 122 10.1016/S0020-7225(98) 00026-3
7. D. Gugan 2000 Inelastic collision and the Hertz theory of impact Am. J. Phys. 68 10 920 924 10.1119/1.1285850
8. K.H. Hunt F.R. Crossley 1975 Coefficient of restitution interpreted as damping in vibroimpact J. Appl. Mech. 7 440 445 10.1115/1.3423596
9. H.M. Lankarani P.E. Nikravesh 1990 A contact force model with hysteresis damping for impact analysis of multibody systems J. Mech. Des. 112 369 376 10.1115/1.2912617
10. H.M. Lankarani P.E. Nikravesh 1994 Continuous contact force models for impact analysis in multibody systems Nonlinear Dyn. 5 193 207
11. ESDU-78035 Tribology Series, Contact Phenomena. I: Stresses, Deflections and Contact Dimensions for Normally-loaded Unlubricated Elastic Components, Engineering Sciences Data Unit, London (1978)
12. Radzimovsky, E.I.: Stress distribution and strength conditions of two rolling cylinders pressed together. Bull Univ. Ill., Eng. Exp. Stn., 408 (1953)
13. Goldsmith, W.: Impact, 'The Theory and Physical Behaviour of Colliding Solids'. Edward Arnold, London (1960)
14. S. Dubowsky F. Freudenstein 1971 Dynamic analysis of mechanical systems with clearances, Part 1: formulation of dynamic model J. Eng. Ind. Ser. B 93 1 305 309 10.1115/1.3427895
15. P. Ravn S. Shivaswamy B.J. Alshaer M. Lankarani Hamid 2000 Joint clearances with lubricated long bearings in multibody mechanical systems J. Mech. Des. 122 484 488 10.1115/1.1314867
16. H.M. Lankarani P.E. Nikravesh 1992 Canonical impulse-momentum equations for impact analysis of multibody systems J. Mech. Des. 114 180 186 10.1115/1.2916914
17. S. Ahmed H.M. Lankarani M. Pereira 1999 Frictional impact analysis in open-loop multibody mechanical systems J. Mech. Des. 121 119 127 10.1115/1.2829412
18. H.M. Lankarani 2000 A Poisson-based formulation for frictional impact analysis of multibody mechanical systems with open or closed kinematic chains J. Mech. Des. 122 489 497 10.1115/1.1319160
19. P. Flores J. Ambrósio 2010 On the contact detection for contact-impact analysis in multibody systems Multibody Syst. Dyn. 24 1 103 122 05817479 10.1007/s11044-010-9209-8 2651426
20. C.-S. Liu K. Zhang L. Yang 2006 Normal force-displacement relationship of spherical joints with clearances J. Comput. Nonlinear Dyn. 1 160 167 10.1115/1.2162872
21. Liu, C.-S., Zhang, K., Yang, L.: The FEM analysis and approximate model for cylindrical joints with clearances. Mech. Mach. Theory 183-197 (2007) (Pubitemid 44880415)
22. P. Flores J. Ambrósio J.C.P. Claro H.M. Lankarani C.S. Koshy 2009 Lubricated revolute joints in rigid multibody systems Nonlinear Dyn. 56 277 295 1170.70311 10.1007/s11071-008-9399-2
23. C. Pereira J. Ambrosio A. Ramalho P. Flores 2010 A methodology for the generation of models for multibody chain drives Multibody Syst. Dyn. 10.1007/s11044-010-9207-x
24. J. Ambrosio P. Verissimo 2009 Improved bushing models for vehicle dynamics Multibody Syst. Dyn. 22 4 341 365 05662403 10.1007/s11044-009-9161-7
25. Ryan, R.R.: ADAMS-Multibody System Analysis Software. Multibody Systems Handbook. Springer, Berlin (1990)
26. Smith, R.C., Haug, E.J.: DADS-Dynamic Analysis and Design System. Multibody Systems Handbook. Springer, Berlin (1990)
27. Bottasso, C.L., Citelli, P., Taldo, A., Franchi, C.G.: Unilateral contact modeling with Adams. In: International ADAMS User's Conference, Berlin, Germany, November 17-18, 11 p. (1999)
28. S.L. Pedersen J.M. Hansen J. Ambrósio 2004 A roller chain drive model including contact with guide-bars Multibody Syst. Dyn. 12 3 285 301 1174.70311 10.1023/B:MUBO.0000049131.77305.d8 (Pubitemid 40626180)
29. P. Flores J. Ambrósio J.C.P. Claro H.M. Lankarani 2006 Influence of the contact-impact force model on the dynamic response of multi-body systems Proc. Inst. Mech. Eng., Proc. Part K, J. Multi-Body Dyn. 220 21 34 (Pubitemid 46489185)
30. Pedersen, S.L.: Simulation and analysis of roller chain drive systems. Ph.D. Dissertation, Department of Mechanical Engineering, Solid Mechanics, Technical University of Denmark, Lyngby, Denmark (2004)
31. Silva, M., Ambrósio, J.: Human motion analysis using multibody dynamics and optimization tools. Technical Report IDMEC/CPM-2004/001', Instituto Superior Técnico of the Technical University of Lisbon, Lisbon, Portugal (2004)
32. Hertz, H.: On the contact of solids-on the contact of rigid elastic solids and on hardness. In: Miscellaneous Papers, pp. 146-183. Macmillan & Co., London (1896) (Translated by D.E. Jones and G.A. Schott)
33. Roark's: Formulas for Stress & Strain, 6th edn. McGraw-Hill, New York (1989)
34. Shigley, J.E., Mischke, C.R.: Mechanical Engineering Design. 5th edn. McGraw-Hill, New York (1989)
35. Parker, M.A.: Drawing Standards for Computer-aided Engineering, 1st edn. England City and Guilds/Macmillan, London (1995)
36. General guide to the choice of journal bearing type. In: ESDU-65007. Tribology Series. Engineering Sciences Data Unit, London (1965)
37. Marshek, K.M.: In: Shigley, J.E., Mischke, C.R. (eds.) Power Transmission Elements-A Mechanical Designers' Workbook. McGraw-Hill, New York, pp. 159-207 (1990)
38. SRAMPORT-Mechanical Drives Company, Activity: Manufacture of bearings, gears, gearing and driving elements, Coimbra, Portugal