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

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

    1 Citation (Scopus)

    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

    Fingerprint

    Multibody Dynamics
    Algebraic Differential Equations
    Differential equations
    Predictor-corrector
    Multibody Systems
    Constrained Systems
    Simulation
    Concepts

    All Science Journal Classification (ASJC) codes

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

    Cite this

    Sommer, III, H. J. (2017). Third-order differential-algebraic equations for improved Integration of multibody dynamics. In 13th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (Proceedings of the ASME Design Engineering Technical Conference; Vol. 6). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/DETC2017-67448
    Sommer, III, Henry Joseph. / Third-order differential-algebraic equations for improved Integration of multibody dynamics. 13th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. American Society of Mechanical Engineers (ASME), 2017. (Proceedings of the ASME Design Engineering Technical Conference).
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    title = "Third-order differential-algebraic equations for improved Integration of multibody dynamics",
    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.",
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    Sommer, III, HJ 2017, Third-order differential-algebraic equations for improved Integration of multibody dynamics. in 13th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. Proceedings of the ASME Design Engineering Technical Conference, vol. 6, American Society of Mechanical Engineers (ASME), ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2017, Cleveland, United States, 8/6/17. https://doi.org/10.1115/DETC2017-67448

    Third-order differential-algebraic equations for improved Integration of multibody dynamics. / Sommer, III, Henry Joseph.

    13th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. American Society of Mechanical Engineers (ASME), 2017. (Proceedings of the ASME Design Engineering Technical Conference; Vol. 6).

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

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    AB - 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.

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    Sommer, III HJ. Third-order differential-algebraic equations for improved Integration of multibody dynamics. In 13th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. American Society of Mechanical Engineers (ASME). 2017. (Proceedings of the ASME Design Engineering Technical Conference). https://doi.org/10.1115/DETC2017-67448