Volume 32 Issue 06
Jun.  2006
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Fu Shihui, Wang Qi. Numerical method for Lyapunov exponents of multibody systems with constraints[J]. Journal of Beijing University of Aeronautics and Astronautics, 2006, 32(06): 742-746. (in Chinese)
Citation: Fu Shihui, Wang Qi. Numerical method for Lyapunov exponents of multibody systems with constraints[J]. Journal of Beijing University of Aeronautics and Astronautics, 2006, 32(06): 742-746. (in Chinese)

Numerical method for Lyapunov exponents of multibody systems with constraints

  • Received Date: 17 Jun 2005
  • Publish Date: 30 Jun 2006
  • Dynamic equations of multibody systems with constraints induced by the first kind of Lagrange’s equations are nonlinear differential-algebraic equations. To be solved numerically, nonlinear differential-algebraic equations were transformed into ordinary differential equations with the augmentation approach. Ordinary differential equations and their Jacobian matrix were given in the matrix form to improve computational efficiency. A numerical method of Lyapunov exponents of nonlinear dynamics of multibody systems was demonstrated. An example was given to analysis dynamical behavior of two multibody systems with topological tree and non-tree configuration, such as bifurcation and chaos by calculating Lyapunov exponents along with Poincare maps and phase graphs.

     

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