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A Lagrangian multibody code for deriving the symbolic state-space equations of motion for open-loop systems containing flexible beams

Author

Listed:
  • Forehand, David I.M.
  • Khanin, Raya
  • Cartmell, Matthew P.

Abstract

In this study, the development of a symbolic multibody code is described. This code uses Lagrange’s equations to derive automatically the state-space equations of motion, in relative coordinates, for open-loop systems made up of rigid bodies and flexible Timoshenko beams. The algorithm is then encoded in Mathematica as the package MultiFlex.m and the straightforward application of MultiFlex to two examples with 1 degree of freedom and 14 degrees of freedom, respectively, is presented. The MultiFlex package represents one part of a suite of programs which are being developed by the authors in order to provide entirely symbolic analysis of multi-degree of freedom problems in engineering dynamics.

Suggested Citation

  • Forehand, David I.M. & Khanin, Raya & Cartmell, Matthew P., 2004. "A Lagrangian multibody code for deriving the symbolic state-space equations of motion for open-loop systems containing flexible beams," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 67(1), pages 85-98.
    • Handle: RePEc:eee:matcom:v:67:y:2004:i:1:p:85-98
    DOI: 10.1016/j.matcom.2004.05.010
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    References listed on IDEAS

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    1. Richard, M.J. & Anderson, R.J. & Andrews, G.C., 1990. "The vector-network method for the modelling of mechanical systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 31(6), pages 565-581.
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