Dynamics Analysis of Frictionless Spherical Joint with Flexible Socket

  • Dhaneshwar Prasad Sahu
  • Mukesh Kumar Singh
  • Soumitra Singh
  • Nohar Kumar Sahu
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


This paper presents the investigation of dynamic modeling and anaylsis of spherical joint with flexible socket joint model. Ball and socket are composing spherical joints which are modeled as two individual colliding components. A continuous force model is introduced for the normal contact–impact force. For the analysis of energy dissipation during contact process, Hertzian-based contact model is used. Generally, Hertzian contact model is used for the analysis of energy dissipation during the dynamic conditions of ball joint because it gives normal deformation of sphere parts of ball and socket joint. This model also describes the viscosity and shear response of the components with friction and adhesion. The pseudo-penetration that occurs between the potential contact points of the ball and the socket surface, as well as the indentation rate, plays a crucial role in the evaluation of the normal contact forces. In addition to this, different force models, such as Coulomb’s law, come into the picture. A friction model is taken for the analysis of friction at the interface of friction between ball and socket joint. The normal and tangential force is evaluated and included in the dynamic model of multibody dynamic system. In modern car, different types of ball joint are used for the better performance of the spherical joint. Geometrical and material parameters are modified to understand the behaviour of the failure and heavily loaded section. The manufacturing process also plays an important role in designing of the component of spherical joint.


Spherical joint with clearance Frictional force model Multibody dynamic system 


  1. 1.
    Chen Y, Sun Y, Peng B, Cao C (2016) A comparative study of joint clearance effects on dynamic behavior of planar multibody mechanical systems. Lat Am J Solids Struct 13(15):2515–2533Google Scholar
  2. 2.
    Tian Q, Flores P, Lankarani HM (2018) A comprehensive survey of the analytical, numerical and experimental methodologies for dynamics of multibody mechanical systems with clearance or imperfect joints 122:1–57Google Scholar
  3. 3.
    Nemade KV, Tripathi VK (2013) A mathematical model to calculate contact stresses in artificial human hip joint 6(12):119–123Google Scholar
  4. 4.
    Watrin JC, Makich H, Haddag B, Nouari M, Grandjean X (2013) Analytical modelling of the ball pin and plastic socket contact in a ball joint 1–26Google Scholar
  5. 5.
    Sin BS, Lee KH (2014) Process design of a ball joint, considering caulking and pull-out strength. Sci World J 2014Google Scholar
  6. 6.
    Shinde J, Kadam S, Patil A, Pandit S (2016) Design modification and analysis of suspension ball joint using finite element. Int J Innov Res Sci Eng Technol 5(7):12797–12804Google Scholar
  7. 7.
    Flores P, Lankarani HM, Flores P, Lankarani HM (2011) Spatial rigid-multibody systems with lubricated spherical clearance joints : modeling and simulation to cite this version : HAL Id : hal-00568395Google Scholar
  8. 8.
    Spong MW, Hutchinson S, Vidyasagar M (2004) Robot dynamics and control Google Scholar
  9. 9.
    Ossa EA, Palacio CC, Paniagua MA (2011) Failure analysis of a car suspension system ball joint. Eng Fail Anal 18(5):1388–1394CrossRefGoogle Scholar
  10. 10.
    Shinde J, Kadam S (2016) Design of suspension ball joint using FEA and experimental method. Int Res J Eng Technol 03(07):1853–1858Google Scholar
  11. 11.
    Kato K, Adachi K (2000) Wear mechanismsGoogle Scholar
  12. 12.
    Zmitrowicz A (2006) Wear patterns and laws of wear—a review. J Theor Appl Mech 44(2):219–253Google Scholar
  13. 13.
    Taylor RL (2013) FEAP-a finite element analysis program. no. Dec 2013Google Scholar
  14. 14.
    Erleben K (2005) Stable, robust, and versatile multibody dynamics animation. Apr 2005Google Scholar
  15. 15.
    Wang G (2015) Dynamics analysis of spatial multibody system with spherical joint wear. 137:Apr 2015Google Scholar
  16. 16.
    Ha11 GW, Crandall JR, Pilkey WD, Park M (1998) Development of a dynamic multibody model to analyze human lower extremity impact response and injury. Sept 1998Google Scholar
  17. 17.
    Fu KS, Gonzalez RC (2008) Robotics control, sensing, vision, and intelligence. McGraw Hill Education (India) edn 2008 Google Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  • Dhaneshwar Prasad Sahu
    • 1
  • Mukesh Kumar Singh
    • 1
  • Soumitra Singh
    • 1
  • Nohar Kumar Sahu
    • 1
  1. 1.Guru Ghasidas VishwavidyalayaBilaspurIndia

Personalised recommendations