Activities per year
Abstract
The simulation of kinematic nonlinear systems is typically very timeconsuming. The computational cost is primarily related to a timeconsuming 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.
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 language  English 

Title of host publication  Proceedings of EURODYN 2023 
Publisher  European Association for Structural Dynamics 
Publication status  Accepted/In press  2024 
Event  EURODYN 2023: XII International Conference on Structural Dynamics  TU Delft, Delft, Netherlands Duration: 2 Jul 2023 → 5 Jul 2023 
Conference
Conference  EURODYN 2023 

Location  TU Delft 
Country/Territory  Netherlands 
City  Delft 
Period  02/07/2023 → 05/07/2023 
Series  Proceedings of the International Conference on Structural Dynamics 

ISSN  23119020 
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Dive into the research topics of 'Highly stable kinematic nonlinear simulations using a Taylor basis'. Together they form a unique fingerprint.Activities

DSBY medlemsmøde
Sebastian Andersen (Lecturer)
25 May 2023Activity: Talks and presentations › Talks and presentations in private or public companies and organisations
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EURODYN 2023
Sebastian Andersen (Participant)
2 Jul 2023 → 5 Jul 2023Activity: Attending an event › Participating in or organising a conference
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