Nonlinear Self-Defined Truss Element Based on the Plane Truss Structure with Flexible Connector

  • Yajun Luo
  • Xinong Zhang
  • Minglong Xu
Conference paper


A finite-element method based on the self-defined truss element is developed and used to model the plane truss structure with the flexible connector, moreover, the dynamic characteristic of the corresponding model is analyzed in this paper. Firstly, a kind of new type truss structure is analyzed where the flexible connectors between trusses include clearance effects. A self-defined truss element is defined based on the mechanical analysis and then used to build the finite-element model. And the nonlinear elastic-damper model and the Coulomb friction model are adopted to analyze the nonlinear nodal forces from the clearance field. Secondly, a nonlinear numerical solution method is developed based on the Newmark implicit integrate method together with Newton–Raphson iterated method and then used to solve the nonlinear dynamic model. Finally a numerical example is performed by the method above and the effects of several key parameters (such as the contact stiffness and the clearance) on the dynamic characteristic are analyzed. The results validate the numerical solution method and show that the nonlinear finite-element model is effective.


Contact Force Hollow Sphere Contact Stiffness Contact Pair Truss Structure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



This work was supported by the Civil Space Advanced Project of China under Grant No. C4120061309.


  1. 1.
    Tzou HS, Roog Y (1991) Contact dynamics of a spherical joint and a jointed truss-cell system. AIAA J 29(1):81–88CrossRefGoogle Scholar
  2. 2.
    Ferri AA (1998) Modeling and analysis of nonlinear sleeve joints of large space structures. AIAA J Spacecr Rockets 25(5):354–360CrossRefGoogle Scholar
  3. 3.
    Junjiro O, Tetsuni S, Kenji M (1995) Passive damping of truss vibration using preloaded joint backlash. AIAA J 33(7):1335–1341MATHCrossRefGoogle Scholar
  4. 4.
    Bindemann AC, Ferri AA (1995) Large amplitude vibration of a beam restrained by a non-linear sleeve joint. J Sound Vib 184(1):19–34MATHCrossRefGoogle Scholar
  5. 5.
    Hsu ST, Griffin JH, Bielak J (1989) How gravity and joint scaling affect dynamic response. AIAA J 27(9):1280–1287CrossRefGoogle Scholar
  6. 6.
    Flores P, Ambrósio J, Claro JCP, Lankarani HM (2008) Translational joints with clearance in rigid multibody systems. J Comput Nonlinear Dyn 3(011007):1–10Google Scholar
  7. 7.
    Shi G, Atluri SN (1992) Nonlinear dynamic response of frame-type structures with hysteretic damping at the joints. AIAA J 30(1):234–240MATHCrossRefGoogle Scholar
  8. 8.
    Gaul L, Lenz J (1997) Nonlinear dynamics of structures assembled by bolted joints. Acta Mech 125:169–181CrossRefGoogle Scholar
  9. 9.
    Dubowsky S, Deck JF, Costello H (1987) Dynamic modeling of flexible spatial machine systems with clearance connections. J Mech Transm Autom Des 109(1):87–94CrossRefGoogle Scholar
  10. 10.
    Lankarani HM, Nikravesh PE (1990) A contact force model with hysteresis damping for impact analysis of multibody systems. ASME J Mech Des 112:369–376CrossRefGoogle Scholar
  11. 11.
    Lankarani HM, Nikravesh PE (1994) Continuous contact force models for impact analysis in multibody systems. Nonlinear Dyn 5:193–207Google Scholar
  12. 12.
    Yigit AS, Ulsoy AG, Scott RA (1990) Spring-dashpot models for the dynamics of a radially rotating beam with impact. J Sound Vib 142(3):515–525CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.School of AerospaceXi’an Jiaotong UniversityXi’anPeople’s Republic of China

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