An Application of the Rigid Finite Element Method to Modelling of Flexible Structures

  • E. Wittbrodt
  • S. Wojciech
Conference paper
Part of the International Centre for Mechanical Sciences book series (CISM, volume 361)


An application of the rigid finite element method (RFEM) to modelling of spatial continuous and discrete systems is presented in the work. It is assumed that the base motion causing vibrations of a flexible system is known. The linear and nonlinear models of a system are described. The nonlinear model enables large displacements to be taken into account.


Finite Element Method Nonlinear Model Discrete System Base Motion Flexible System 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Cetinkunt S., Book W.J.: Performance limitations of joint variable–feedback controllers due to manipulator structural flexibility IEEE Transactions on Robotics and Automation. Vol. 6, No 2, April 1990, pp. 219–231.CrossRefGoogle Scholar
  2. [2]
    Vincent T.L., Lin Y.Ch., Joshi S.P.: Positioning and active damping of flexible beams. Journal of Guidance, Control and Dynamics. Vol. 13, No 4, July–August 1990, pp. 714–724.Google Scholar
  3. [3]
    Meirovitch L., Kwak M.K.: Dynamics and control of spacecraft with retargeting flexible antennas. Journal of Guidance, Control and Dynamics. Vol. 13, No 2, March–April 1990, pp. 241–248.Google Scholar
  4. [4]
    Kane T.R., Ryan R.R., Banerjee A.K.: Dynamics of beam attached to a moving base. Journal of Guidance, Control and Dynamics. Vol. 10, Not, March-April 1987, pp. 1–36.CrossRefGoogle Scholar
  5. [5]
    Du H., Hitching P., Davies G.A.O.: A finite element structural dynamics model of beam with an arbitrary moving base. Part I and II. Finite Element in Analysis and Design. Vol. 12, pp. 117–150.Google Scholar
  6. [6]
    Kruszewski J., Gawronski W., Wittbrodt E., Najbar E., Grabowski E.: The rigid finite element method. Arkady, Warsaw, 1974 (in Polish).Google Scholar
  7. [7]
    Wittbrodt E.: Dynamics of the systems with changing in time configuration using the finite element method. Papers of TU Gdansk, Mechanika XLVI, Gdansk 1983 (in Polish).Google Scholar
  8. [8]
    Craig J.J.: Introduction to robotics. Addison Wesley Publ. Comp. Massachusetts, 1988.Google Scholar

Copyright information

© Springer-Verlag Wien 1995

Authors and Affiliations

  • E. Wittbrodt
    • 1
  • S. Wojciech
    • 2
  1. 1.Technical University of GdanskGdanskPoland
  2. 2.Technical University of Lodz in Bielsko-BialaBielsko-BialaPoland

Personalised recommendations