Highly stable kinematic nonlinear simulations using a Taylor basis

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The simulation of kinematic nonlinear systems is typically very time-consuming. The computational cost is primarily related to a time-consuming evaluation of the internal restoring forces performed before each integration step. Using basis projection is a way to reduce the computational cost and, thereby, the simulation time. The present work considers a novel Taylor basis that can significantly improve the stability of the central difference time integration scheme for kinematic nonlinear simulations. It is illustrated that the time step stability limit for a kinematic nonlinear simulation using Taylor basis projection is more or less identical to the analytical stability limit derived for linear systems. Furthermore, an example
shows that the time step stability limit in simulations using Taylor basis projection can be two orders of magnitude higher than the stability limit of a standard kinematic nonlinear simulation. Thus, Taylor basis projection has the potential to significantly reduce the number of time steps and, thereby, the computational cost.
Original languageEnglish
Title of host publicationProceedings of EURODYN 2023
PublisherEuropean Association for Structural Dynamics
Publication statusAccepted/In press - 2024
EventEURODYN 2023: XII International Conference on Structural Dynamics - TU Delft, Delft, Netherlands
Duration: 2 Jul 20235 Jul 2023


ConferenceEURODYN 2023
LocationTU Delft
SeriesProceedings of the International Conference on Structural Dynamics


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  • DSBY medlemsmøde

    Sebastian Andersen (Lecturer)

    25 May 2023

    Activity: Talks and presentationsTalks and presentations in private or public companies and organisations

  • EURODYN 2023

    Sebastian Andersen (Participant)

    2 Jul 20235 Jul 2023

    Activity: Attending an eventParticipating in or organising a conference


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