On the Use of Half-Implicit Numerical Integration in Multibody Dynamics
Abstract
This work highlights the use of half-implicit numerical integration in the context of the index three differential algebraic equations (DAEs) of multibody dynamics. Although half-implicit numerical integration is well established for ordinary differential equations problems, to the best of our knowledge, no formal discussion covers its use in the context of index three DAEs of multibody dynamics. We wish to address this since when compared to fully implicit methods, half-implicit integration has two attractive features: (i) the solution method does not require the computation of the Jacobian associated with the constraint, friction, contact, or user-defined applied forces; and (ii) the solution is simpler to implement. Moreover, for nonstiff problems, half-implicit numerical integration yields a faster solution. Herein, we outline the numerical method and demonstrate it in conjunction with three mechanisms. We report on convergence order behavior and solution speed. The Python software developed to generate the results reported is available as open in a public repository for reproducibility studies.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Nov 17, 2022
- Source ID
- 10.1115/1.4056183
Entities
People
- Alexandra Kissel
- Dan Negrut
- Luning Fang
- Ruochun Zhang
Organizations
- Army Research Office
- Division of Civil, Mechanical & Manufacturing Innovation
- National Science Foundation Directorate of Computer and Information Science and Engineering
- University of Wisconsin–Madison