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References

  • Ahmed S, Lankarani HM, Pereira MFOS (1999) Frictional impact analysis in open loop multibody mechanical system. Journal of Mechanical Design 121:119–127.

    Google Scholar 

  • Ambrósio J (2000) Rigid and flexible multibody dynamics tools for the simulation of systems subjected to contact and impact conditions. European Journal of Solids A/Solids 19:S23–S44.

    Google Scholar 

  • Ambrósio J (2002) Impact of rigid and flexible multibody systems: deformation description and contact models. Virtual nonlinear multibody systems, NATO Advanced Study Institute, Prague, Czech Republic, June 23–July 3, edited by W Schiehlen and M Valásek, Vol. II, pp. 15–33.

    Google Scholar 

  • Bagci C (1975) Dynamic motion analysis of plane mechanisms with Coulomb and viscous damping via the joint force analysis. Journal of Engineering for Industry, Series B 97(2):551–560.

    Google Scholar 

  • Baumgarte J (1972) Stabilization of constraints and integrals of motion in dynamical systems. Computer Methods in Applied Mechanics and Engineering 1:1–16.

    Article  MathSciNet  MATH  Google Scholar 

  • Bottasso CL, Citelli P, Taldo A, Franchi CG (1999) Unilateral contact modeling with adams. International ADAMS user’s conference, Berlin, Germany, November 17–18, 11pp.

    Google Scholar 

  • Brach RM (1991) Mechanical impact dynamics, rigid body collisions. Wiley, New York.

    Google Scholar 

  • Dietl P (1997) Damping and stiffness characteristics of rolling element bearings—theory and experiment. Ph.D. Dissertation, Technical University of Vienna, Austria.

    Google Scholar 

  • Dubowsky S (1974) On predicting the dynamic effects of clearances in planar mechanisms. Journal of Engineering for Industry, Series B 96(1):317–323.

    Google Scholar 

  • Dubowsky S, Freudenstein F (1971) Dynamic analysis of mechanical systems with clearances, part: 1 formulation of dynamic model. Journal of Engineering for Industry, Series B 93(1):305–309.

    Google Scholar 

  • ESDU 78035 Tribology Series (1978) Contact phenomena. I: stresses, deflections and contact dimensions for normally loaded unlubricated elastic components. Engineering Sciences Data Unit, London, England.

    Google Scholar 

  • Flores P, Ambrósio J, Claro JCP, Lankarani HM (2006) Influence of the contact-impact force model on the dynamic response of multibody systems. Proceedings of the Institution of Mechanical Engineers, Part-K Journal of Multi-body Dynamics 220:21–34.

    Google Scholar 

  • Gear CW (1981) Numerical solution of differential-algebraic equations. IEEE Transactions on Circuit Theory CT-18:89–95.

    Google Scholar 

  • Goldsmith W (1960) Impact—the theory and physical behaviour of colliding solids. Edward Arnold, London, England.

    MATH  Google Scholar 

  • Greenwood DT (1965) Principles of dynamics. Prentice Hall, Englewood Cliffs, NJ.

    Google Scholar 

  • Han I, Gilmore BJ (1993) Multi body impact motion with friction analysis, simulation, and validation. Journal of Mechanical Design 115:412–422.

    Google Scholar 

  • Haug EJ, Wu SC, Yang SM (1986) Dynamics of mechanical systems with Coulomb friction, stiction, impact and constraint addition deletion—I theory. Mechanism and Machine Theory 21(5):401–406.

    Article  Google Scholar 

  • Hertz H (1896) On the contact of solids—on the contact of rigid elastic solids and on hardness. Miscellaneous papers (Translated by DE Jones and GA Schott), pp. 146–183. Macmillan, London, England.

    Google Scholar 

  • Hunt KH, Crossley FR (1975) Coefficient of restitution interpreted as damping in vibroimpact. Journal of Applied Mechanics 7:440–445.

    Google Scholar 

  • Keller JB (1986) Impact with friction. Journal of Applied Mechanics 53:1–4.

    Article  MATH  Google Scholar 

  • Khulief YA, Shabana AA (1986) Dynamic analysis of constrained system of rigid and flexible bodies with intermittent motion. Journal of Mechanisms, Transmissions, and Automation in Design 108:38–45.

    Article  Google Scholar 

  • Lankarani HM (1988) Canonical equations of motion and estimation of parameters in the analysis of impact problems. Ph.D. Dissertation, University of Arizona, Tucson, AZ.

    Google Scholar 

  • Lankarani HM (2000) A poisson based formulation for frictional impact analysis of multibody mechanical systems with open or closed kinematic chains. Journal of Mechanical Design 115:489–497.

    Article  Google Scholar 

  • Lankarani HM, Nikravesh PE (1990) A contact force model with hysteresis damping for impact analysis of multibody systems. Journal of Mechanical Design 112:369–376.

    Article  Google Scholar 

  • Lankarani HM, Nikravesh PE (1994) Continuous contact force models for impact analysis in multibody systems. Nonlinear Dynamics 5:193–207.

    Google Scholar 

  • Love AEH (1944) A treatise on the mathematical theory of elasticity, Fourth edition. Dover Publications, New York.

    Google Scholar 

  • Maw N, Barber JR, Fawcett JN (1976) The oblique impact of elastic spheres. Wear 38:101–114.

    Google Scholar 

  • Nikravesh PE (1988) Computer-aided analysis of mechanical systems. Prentice Hall, Englewood Cliffs, NJ.

    Google Scholar 

  • PC-Crash (2002) A simulation program for vehicle accidents, Technical manual, Version 6.2.

    Google Scholar 

  • Pedersen S, Hansen J, Ambrósio J (2002) A novel roller-chain drive model using multibody dynamics analysis tools. Virtual nonlinear multibody systems, NATO Advanced Study Institute, Prague, Czech Republic, June 23–July 3, edited by W Schiehlen and M. Valásek, Vol. II, pp. 180–185.

    Google Scholar 

  • Pedersen SL (2001) Chain vibrations. MS Dissertation, Department of Mechanical Engineering, Solid Mechanics, Technical University of Denmark, Lyngby, Denmark.

    Google Scholar 

  • Pfeiffer F, Glocker C (1996) Multibody dynamics with unilateral constraints. Wiley, New York.

    Google Scholar 

  • Ravn P (1998) A continuous analysis method for planar multibody systems with joint clearance. Multibody System Dynamics 2:1–24.

    Article  MATH  Google Scholar 

  • Rooney GT, Deravi P (1982) Coulomb friction in mechanism sliding joints. Mechanism and Machine Theory 17:207–211.

    Article  Google Scholar 

  • Ryan RR (1990) ADAMS—multibody system analysis software. Multibody systems handbook. Springer, Berlin Heidelberg New York.

    Google Scholar 

  • Shampine L, Gordon M (1975) Computer solution of ordinary differential equations: the initial value problem. Freeman, San Francisco, CA.

    MATH  Google Scholar 

  • Shivaswamy S (1997) Modeling contact forces and energy dissipation during impact in multibody mechanical systems. Ph.D. Dissertation, Wichita State University, Wichita, KS.

    Google Scholar 

  • Silva MPT, Ambrósio J (2004) 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.

    Google Scholar 

  • Smith RC, Haug EJ (1990) DADS—dynamic analysis and design system. Multibody systems handbook. Springer, Berlin Heidelberg New York.

    Google Scholar 

  • Stolarski TA (1990) Tribology in machine design. Butterworth-Heinemann, Oxford, England.

    Google Scholar 

  • Threlfall DC (1978) The inclusion of Coulomb friction in mechanisms programs with particular reference to DRAM. Mechanism and Machine Theory 13:475–483.

    Article  Google Scholar 

  • Timoshenko SP, Goodier JN (1970) Theory of elasticity. McGraw-Hill, New York.

    MATH  Google Scholar 

  • Wang Y, Manson M (1992) Two dimensional rigid-body collisions with friction. Journal of Applied Mechanics 59:635–642.

    Google Scholar 

  • Wilson R, Fawcett JN (1974) Dynamics of slider–crank mechanism with clearance in the sliding bearing. Mechanism and Machine Theory 9:61–80.

    Article  Google Scholar 

  • Wu SC, Yang SM, Haug EJ (1986a) Dynamics of mechanical systems with Coulomb friction, stiction, impact and constraint addition deletion—II planar systems. Mechanism and Machine Theory 21(5):407–416.

    Google Scholar 

  • Wu SC, Yang SM, Haug EJ (1986b) Dynamics of mechanical systems with Coulomb friction, stiction, impact and constraint addition deletion—III spatial systems. Mechanism and Machine Theory 21(5):417–425.

    Article  Google Scholar 

  • Zhu SH, Zwiebel S, Bernhardt G (1999) A theoretical formula for calculating damping in the impact of two bodies in a multibody system. Proceedings of the Institution of Mechanical Engineers 213(C3):211–216.

    Google Scholar 

  • Zukas JA, Nicholas T, Greszczuk LB, Curran DR (1982) Impact dynamics. Wiley, New York.

    Google Scholar 

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Flores, P., Ambrósio, J., Claro, J.P., Lankarani, H.M. (2008). Contact-Impact Force Models for Mechanical Systems. In: Kinematics and Dynamics of Multibody Systems with Imperfect Joints. Lecture Notes in Applied and Computational Mechanics, vol 34. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74361-3_3

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  • DOI: https://doi.org/10.1007/978-3-540-74361-3_3

  • Publisher Name: Springer, Berlin, Heidelberg

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