Journal article
Dual-Rate Integration Using Partitioned Runge-Kutta Methods for Mechanical Systems with Interacting Subsystems
Mechanics based design of structures and machines, Vol.32(3), pp.253-282
12/31/2004
DOI: 10.1081/SME-200027930
Abstract
A framework is presented allowing dual-rate numerical integration of the equations of mechanical system dynamics to be considered as a form of Partitioned Runge-Kutta (PRK) integration. Certain coefficients of a PRK integrator are set to zero, so that Runge-Kutta integrators that constitute the PRK integrator can be made to have different numbers of stages. As a result, one Runge-Kutta integrator requires fewer function evaluations than the other does, which is a form of dual-rate integration. Well-established order of accuracy theory for PRK integrators is used to develop a rigorous methodology for designing explicit PRK dual-rate integrators. Stabilized Runge-Kutta theory developed for single-rate Runge-Kutta integrators is combined with PRK integrator theory to design PRK dual-rate integrators with the largest possible stability regions. Dual-rate PRK integrators created using these approaches are used to simulate the dynamics of vehicle systems that contain subsystems with higher frequency response characteristics than do the basic vehicle subsystems.
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The work presented here was published in 2000 as Siddhartha S. Shome's Ph.D. dissertation at the University of Iowa, Dual-Rate Integration Using Partitioned Runge-Kutta Methods for Mechanical Systems with Interacting Subsystems.
Details
- Title: Subtitle
- Dual-Rate Integration Using Partitioned Runge-Kutta Methods for Mechanical Systems with Interacting Subsystems
- Creators
- Siddhartha S Shome† - Software Engineer at Parametric Technology Corp. Simulation Division , San Tomas ExpyEdward J Haug - University of IowaLaurent O Jay - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Mechanics based design of structures and machines, Vol.32(3), pp.253-282
- Publisher
- Taylor & Francis Group
- DOI
- 10.1081/SME-200027930
- ISSN
- 1539-7734
- eISSN
- 1539-7742
- Language
- English
- Date published
- 12/31/2004
- Academic Unit
- Mathematics; Mechanical Engineering
- Record Identifier
- 9984240763602771
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