TY - GEN

T1 - Local Linearization Method in the integration of multibody equations

AU - Gil, Gibin

AU - Sanfelice, Ricardo G.

AU - Nikravesh, Parviz E.

PY - 2013/12/1

Y1 - 2013/12/1

N2 - 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.

AB - 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.

KW - Highly oscillatory system

KW - Local Linearization Method

KW - Local error estimation

KW - Numerical integration

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M3 - Conference contribution

AN - SCOPUS:84893048073

SN - 9789537738228

T3 - Proceedings of the ECCOMAS Thematic Conference on Multibody Dynamics 2013

SP - 613

EP - 622

BT - Proceedings of the ECCOMAS Thematic Conference on Multibody Dynamics 2013

T2 - ECCOMAS Thematic Conference on Multibody Dynamics 2013

Y2 - 1 July 2013 through 4 July 2013

ER -