Hybrid bond graphs for contact, using controlled junctions and dynamic causality

Rebecca Margetts, Roger F. Ngwompo

Research output: Chapter or section in a book/report/conference proceedingChapter in a published conference proceeding

1 Citation (SciVal)

Abstract

Controlled junctions with dynamic causality can be used to generate mixed-Boolean mathematical models. Several variations on the Switched or Hybrid Bond Graph have already been proposed, with none reaching common usage. The motivation for suggesting this approach was to develop a general method for adoption by practicing engineers, which is intuitive, adheres to the principles of idealized physical modelling and facilitates both structural analysis and efficient simulation. This paper revisits the classical example of a bouncing ball in order to discuss the advantages and disadvantages of such an approach with reference to the body of literature on hybrid models and nonsmooth dynamics. A switching model (as opposed to an impulse model) is generated which is both stiff and contains kinematic constraints, making it problematic to simulate. However, the method facilitates model simplification and the derivation of a coefficient of restitution, allowing Newton's collision law to be applied. The resulting model simulates efficiently and well, without the need for parasitic elements or state reinitialization algorithms.

Original languageEnglish
Title of host publicationProceedings of the 2014 Summer Simulation Multiconference, SummerSim 2014 - 2014 International Conference on Bond Graph Modeling and Simulation, ICBGM 2014
PublisherThe Society for Modeling and Simulation International
Pages10-17
Number of pages8
Edition8
ISBN (Print)9781632667007
Publication statusPublished - 2014
Event2014 International Conference on Bond Graph Modeling and Simulation, ICBGM 2014, Part of the 2014 Summer Simulation Multiconference, SummerSim 2014 - Monterey, CA, USA United States
Duration: 6 Jul 201410 Jul 2014

Publication series

NameSimulation Series
Number8
Volume46
ISSN (Print)0735-9276

Conference

Conference2014 International Conference on Bond Graph Modeling and Simulation, ICBGM 2014, Part of the 2014 Summer Simulation Multiconference, SummerSim 2014
Country/TerritoryUSA United States
CityMonterey, CA
Period6/07/1410/07/14

Keywords

  • Hybrid bond graph
  • Hybrid model
  • Impulse model
  • Nonsmooth dynamics
  • Switched model

ASJC Scopus subject areas

  • Computer Networks and Communications

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