Skip to main content
SpringerLink
Log in

Role of MMS and IFToMM in Multibody Dynamics

  • Chapter
  • First Online:
Book cover Technology Developments: the Role of Mechanism and Machine Science and IFToMM

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 1))

  • 1101 Accesses

Abstract

An important application of multibody dynamics is mechanism theory. Rigid and flexible bodies are widely applied for modeling of planar and spatial machines, for their dynamical analysis with respect to motion and strength, vibration and control, and for their optimization. Interacting machine parts result in a variety of contact problems. Some fundamentals and typical mechanism and machine problems will be presented.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Schiehlen, W.: Multibody system dynamics: roots and perspectives. Multibody Sys. Dyn. 1, 149–188 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  2. Shabana, A.A.: Flexible multibody dynamics: review of past and recent developments. Multibody Sys. Dyn. 1, 189–222 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  3. Uicker, J.J.Jr.: On the dynamic analysis of spatial linkages using 4 by 4 matrices. Ph.D. thesis, Northwestern University, Evanston (1965)

    Google Scholar 

  4. Magnus, K. (ed.): Dynamics of Multibody Systems. Springer, Berlin (1978)

    MATH  Google Scholar 

  5. Bianchi, G., Schiehlen, W. (eds.): Dynamics of Multibody Systems. Springer, Berlin (1986)

    MATH  Google Scholar 

  6. Schiehlen, W. (ed.): Multibody Systems Handbook. Springer, Berlin (1990)

    MATH  Google Scholar 

  7. Shabana, A.A.: Dynamics of Multibody Systems. Cambridge University Press, New York (2005)

    Book  MATH  Google Scholar 

  8. Geradin, M., Cardona, A.: Flexible Multibody Dynamics. A Finite Element Approach. Wiley, West Sussex (2000)

    Google Scholar 

  9. Shabana, A.A.: Computational Continuum Mechanics. Cambridge University Press, New York (2008)

    Book  MATH  Google Scholar 

  10. Kim, S.S., Haug, E.J.: Selection of deformation modes for flexible multibody dynamics. Mech. Struct. Mach. 18, 565–586 (1990)

    Article  Google Scholar 

  11. Romero, I.: The interpolation of rotations and its application to finite element models of geometrically exact rods. Comput. Mech. 34, 121–133 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  12. Lugris, U., Naya, M.A., Perez, J.A., Cuadrado, J.: Implementation and efficiency of two geometric stiffening approaches. Multibody Sys. Dyn. 20, 147–161 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  13. Escalona, J.L., Hussien, A.H., Shabana, A.A.: Application of the absolute nodal co-ordinate formulation to multibody system dynamics. J. Sound Vib. 214, 833–851 (1998)

    Article  Google Scholar 

  14. Schwab, A.L., Meijaard, J.P.: Comparison of three-dimensional flexible beam elements for dynamic analysis: classical finite element formulation and absolute nodal coordinate formulation. J. Comput. Nonlinear Dyn. 5, 011010-1 to 011010-10 (2010). doi:10.1115/1.4000320

    Article  Google Scholar 

  15. Pfeiffer, F., Glocker, C.: Multibody Dynamics with Unilateral Contacts. Wiley, New York (1996)

    Book  MATH  Google Scholar 

  16. Glocker, C., Studer, C.: Formulation and preparation for numerical evaluation of linear complementarity systems in dynamics. Multibody Sys. Dyn. 13, 447–463 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  17. Lankarani, H., Nikravesh, P.: Continuous contact force models for impact analysis in multibody systems. Nonlinear Dyn. 5, 193–207 (1994)

    Google Scholar 

  18. Seifried, R., Schiehlen, W., Eberhard, P.: The role of the coefficient of restitution on impact problems in multibody dynamics. Proc. Inst. Mech. Eng. [K] J Multibody Dyn 224, 279–306 (2010)

    Google Scholar 

  19. Flores, P., Ambrosio, J.: Revolute joints with clearance in multibody systems. Comput. Struct. 82, 1359–1369 (2004)

    Article  Google Scholar 

  20. Garcia de Jalon, J., Bayo, E.: Kinematic and Dynamic Simulation of Multibody Systems. Springer, New York (1994)

    Google Scholar 

  21. Hernandez, A., Altuzarra, O., Aviles, R., Petuya, V.: Kinematic analysis of mechanisms via a velocity equation based in a geometric matrix. Mech. Mach. Theor. 38, 1413–1429 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  22. Fumagalli, A., Masarati, P.: Real-time inverse dynamics control of parallel manipulators using general-purpose multibody software. Multibody Sys. Dyn. 22, 47–68 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  23. Sancibrian, R., Garcia, P., Viadero, F., Fernandez, A.: A general procedure based on exact gradient determination in dimensional synthesis of planar mechanisms. Mech. Mach. Theor. 41, 212–229 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  24. Korkealaakso, P., Mikkola, A., Rouvinen, A.: Multi-body simulation approach for fault diagnosis of a reel. Proc. Inst. Mech. Engi. [K] J. Multibody Dyn. 220, 9–19 (2006)

    Google Scholar 

  25. Negrut, D., Ortiz, J.L.: A practical approach for the linearization of the constrained multibody dynamics equations. J. Comput. Nonlinear Dyn. 1, 230–239 (2006)

    Article  Google Scholar 

  26. Popp, K., Schiehlen, W.: Ground Vehicle Dynamics. Springer, Berlin (2010)

    Book  Google Scholar 

  27. Cuadrado, J., Gutierrez, R., Naya, M.A., Gonzalez, M.: Experimental validation of a flexible MBS dynamic formulation through comparison between measured and calculated stresses on a prototype car. Multibody Sys. Dyn. 11, 147–166 (2004)

    Article  MATH  Google Scholar 

  28. Schiehlen, W., Seifried, R., Eberhard, P.: Elastoplastic phenomena in multibody impact dynamics. Comput. Meth. Appl. Mech. Eng. 195, 6874–6890 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  29. Kovalev, R., Lysikov, N., Mikheev, G., Pogorelov, D., Simonov, V., Yazykov, V., Zakharov, S., Zharov, I., Goryacheva, I., Soshenkov, S., Torskaya, E.: Freight car models and their computer-aided dynamic analysis. Multibody Sys. Dyn. 22, 399–423 (2009)

    Article  MATH  Google Scholar 

  30. Flores, P., Ambrosio, J., Claro, J.C.P., Lankarani, H.M., Koshy, C.S.: Lubricated revolute joints in rigid multibody systems. Nonlinear Dyn. 56, 277–295 (2009)

    Article  MATH  Google Scholar 

  31. Fisette, P., Peterkenne, J.M., Vaneghem, B., Samin, J.C.: A multibody loop constraints approach for modelling cam/follower devices. Nonlinear Dyn. 22, 335–359 (2000)

    Article  MATH  Google Scholar 

  32. Ziegler, P., Eberhard, P.: Simulative and experimental investigation of impacts on gear wheels. Comput. Meth. Appl. Mech. Eng. 197, 4653–4662 (2008)

    Article  MATH  Google Scholar 

  33. Kerkkanen, K.S., Garcia-Vallejo, D., Mikkola, A.: Modeling of belt-drives using a large deformation finite element formulation. Nonlinear Dyn. 43, 239–256 (2006)

    Article  Google Scholar 

  34. Pedersen, S.L., Hansen, J.M., Ambrosio, J.A.C.: A roller chain drive model including contact with guide-bars. Multibody Sys. Dyn. 12, 285–301 (2004)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of La Coruña, Ferrol, Spain

    Javier Cuadrado

  2. Escuela de Ingenieros, Dept. Ingeniería Mecánica y de los Materiales, University of Seville, Camino de los Descubrimientos s\n, 41092, Seville, Spain

    Jose Escalona

  3. University of Stuttgart, Stuttgart, Germany

    Werner Schiehlen & Robert Seifried

Authors
  1. Javier Cuadrado
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jose Escalona
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Werner Schiehlen
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Robert Seifried
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Javier Cuadrado .

Editor information

Editors and Affiliations

  1. , Laboratory of Robotics & Mechatronics, University of Cassino, Via di Biasio 43, Cassino, 03043, Italy

    Marco Ceccarelli

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer Science+Business Media B.V.

About this chapter

Cite this chapter

Cuadrado, J., Escalona, J., Schiehlen, W., Seifried, R. (2011). Role of MMS and IFToMM in Multibody Dynamics. In: Ceccarelli, M. (eds) Technology Developments: the Role of Mechanism and Machine Science and IFToMM. Mechanisms and Machine Science, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1300-0_13

Download citation

  • DOI: https://doi.org/10.1007/978-94-007-1300-0_13

  • Published:

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-1299-7

  • Online ISBN: 978-94-007-1300-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation