Third-order differential-algebraic equations for improved Integration of multibody dynamics

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    1 Scopus citations

    Abstract

    This paper introduces the concept of third-order differentialalgebraic equations (DAE) for dynamics of constrained multibody systems. Third-order DAE provide jerk of components which can be integrated simultaneously with acceleration to provide improved simulation accuracy. A new Obreshkov predictor-corrector multistep integrator was developed to test this concept. Results from simulations of two planar mechanisms indicate that third-order DAE can reduce computation time by a factor of ten with equivalent accuracy compared to classical methods.

    Original languageEnglish (US)
    Title of host publication13th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
    PublisherAmerican Society of Mechanical Engineers (ASME)
    ISBN (Electronic)9780791858202
    DOIs
    StatePublished - Jan 1 2017
    EventASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2017 - Cleveland, United States
    Duration: Aug 6 2017Aug 9 2017

    Publication series

    NameProceedings of the ASME Design Engineering Technical Conference
    Volume6

    Other

    OtherASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2017
    CountryUnited States
    CityCleveland
    Period8/6/178/9/17

    All Science Journal Classification (ASJC) codes

    • Mechanical Engineering
    • Computer Graphics and Computer-Aided Design
    • Computer Science Applications
    • Modeling and Simulation

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