Explicit Time Integrators for Nonlinear Dynamics Derived from the Midpoint Rule

Authors

  • P. Krysl

DOI:

https://doi.org/10.14311/616

Keywords:

Time integration, rigid body motion, midpoint rule, symplectic Euler, Verlet, Newmark, midpoint Lie algorithm

Abstract

We address the design of time integrators for mechanical systems that are explicit in the forcing evaluations. Our starting point is the midpoint rule, either in the classical form for the vector space setting, or in the Lie form for the rotation group. By introducing discrete, concentrated impulses we can approximate the forcing impressed upon the system over the time step, and thus arrive at first-order integrators. These can then be composed to yield a second order integrator with very desirable properties: symplecticity and momentum conservation. 

Downloads

Download data is not yet available.

Author Biography

P. Krysl

Downloads

Published

2004-01-05

How to Cite

Krysl, P. (2004). Explicit Time Integrators for Nonlinear Dynamics Derived from the Midpoint Rule. Acta Polytechnica, 44(5-6). https://doi.org/10.14311/616

Issue

Section

Articles