Skip to main content
eScholarship
Open Access Publications from the University of California

Local Linearization Method in the integration of multibody equations

  • Author(s): Gil, G
  • Sanfelice, RG
  • Nikravesh, PE
  • et al.
Abstract

Computational efficiency of solving the dynamics of highly oscillatory systems is an important issue due to the requirement of small step size of explicit numerical integration algorithms. A system is considered to have an oscillatory solution if it contains a fast solution that varies regularly about a slow solution. This paper investigates the use of the so-called Local Linearization Method (LLM) in the integration of multibody equations of motion that exhibit oscillatory behavior. The LLM is an exponential method that is based on the piecewise linear approximation of the equations through a firstorder Taylor expansion at each time step, where the solution at the next time step is determined by the analytic solution of the approximated linear system. In this paper the LLM is applied to simple examples. The results show that the LLM can improve computational efficiency, without jeopardizing the accuracy, when the multibody system is highly oscillatory.

Many UC-authored scholarly publications are freely available on this site because of the UC Academic Senate's Open Access Policy. Let us know how this access is important for you.

Main Content
Current View