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Demonstrative Application Examples

  • Paulo FloresEmail author
  • Hamid M. Lankarani
Chapter
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 226)

Abstract

In this Chapter, several demonstrative application examples are presented, that range from simple systems such as the classic bouncing ball and slider-crank mechanism with external impact on a free slider block, internal impacts of mechanisms with revolute joint clearances, to more complex systems, such as the human knee joint contact and the foot-ground interaction models. In order to keep the analysis simple, only few contact force models are utilized, namely those that provide better response in terms of accuracy and efficiency.

Keywords

Application examples Bouncing ball Simple pendulum Slider-crank mechanism with joint clearance Human knee joint model Biomechanical foot model 

References

  1. Burgin LV, Aspden RM (2008) Impact testing to determine the mechanical properties of articular cartilage in isolation and on bone. J Mater Sci: Mater Med 19:703–711Google Scholar
  2. Cross R (1999) The bounce of a ball. Am J Phys 67:222–227CrossRefGoogle Scholar
  3. Debrunner HU, Hepp WR (1999) Diagnóstico en Ortopedia. Edimsa, Madrid, SpainGoogle Scholar
  4. Flores P (2009) Contact-impact analysis in multibody systems based on the nonsmooth dynamics approach. Post-Doctoral Report, ETH-Zurich, SwitzerlandGoogle Scholar
  5. Flores P, Ambrósio J (2010) On the contact detection for contact-impact analysis in multibody systems. Multibody SysDyn 24(1):103–122MathSciNetCrossRefzbMATHGoogle Scholar
  6. 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(1):21–34CrossRefGoogle Scholar
  7. Flores P, Lankarani HM (2012) Dynamic response of multibody systems with multiple clearance joints. J Comput Nonlinear Dyn 7(3):031003CrossRefGoogle Scholar
  8. Flores P, Machado M, Silva MT, Martins JM (2011) On the continuous contact force models for soft materials in multibody dynamics. Multibody SysDyn 25:357–375CrossRefzbMATHGoogle Scholar
  9. Gefen A (2003) The In Vivo Elastic Properties of the Plantar Fascia During the Contact Phase of Walking. Foot Ankle Int 24(3):238–244Google Scholar
  10. Gonthier Y, McPhee J, Lange C, Piedboeuf J-C (2004) A regularized contact model with asymmetric damping and dwell-time dependent friction. Multibody SysDyn 11:209–233CrossRefzbMATHGoogle Scholar
  11. Heimsch T, Leine RI (2009) Lyapunov stability theory for nonsmooth non-autonomous mechanical systems applied to the bouncing ball problem. Proceedings of the ASME 2009 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference IDETC/CIE 2009, DETC/MSNDC-87185, San Diego, USA, 9pGoogle Scholar
  12. Lankarani HM, Nikravesh PE (1990) A contact force model with hysteresis damping for impact analysis of multibody systems. J Mech Des 112:369–376CrossRefGoogle Scholar
  13. Li G, Lopez O, Rubash H (2001) Variability of a three-dimensional finite element model constructed using magnetic resonance images of a knee for joint contact stress analysis. J Biomech Eng 123(4):341–346CrossRefGoogle Scholar
  14. Machado M, Flores P, Ambrósio J, Completo A (2011) Influence of the contact model on the dynamic response of the human knee joint. Proc Inst Mech Eng, Part-K: J Multi-body Dyn 225(4):344–358Google Scholar
  15. Moeinzadeh MH, Engin AE, Akkas N (1983) Two-dimensional dynamic modeling of human knee joint. J Biomech 316:253–264CrossRefGoogle Scholar
  16. Moreira P, Silva M, Flores P (2009) Development of a three-dimensional contact model for the foot-ground interactions in gait simulation based on viscoelastic elements, In: Arczewski K, Frączek J, Wojtyra M (eds) Proceedings of Multibody Dynamics 2009, ECCOMAS Thematic Conference, Warsaw, Poland, June 29–July 2, 10 pGoogle Scholar
  17. Nikravesh P (1988) Computer-aided analysis of mechanical systems. Prentice Hall, Englewood Cliffs, New JerseyGoogle Scholar
  18. Silva M (2003) Human motion analysis using multibody dynamics and optimization tools, PhD Dissertation, Instituto Superior Técnico, LisbonGoogle Scholar
  19. Tufillaro NB, Albano AM (1986) Chaotic dynamics of a bouncing ball. Am J Phys 54(10):939–944CrossRefGoogle Scholar
  20. Winter DA (1990) Biomechanics and Motor Control of Human Movement, 3rd edn, John Wiley & Sons, Toronto, CanadaGoogle Scholar
  21. Yamaguchi G (2001) Dynamic modeling of musculoskeletal motion. Kluwer Academic Publishers, Dordrecht, The NetherlandsCrossRefzbMATHGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringUniversity of MinhoGuimaraesPortugal
  2. 2.Department of Mechanical EngineeringWichita State UniversityWichitaUSA

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