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Selective Mass Scaling For Timoshenko Beam And Mindlin Plate Elements Based On The Discrete Strain Gap Method
Hamburg University of Technology, Institute for Structural Analysis Denickestraße 17, 21073 Hamburg, Germany.
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Engineering and Physics (from 2013).ORCID iD: 0000-0001-8572-8532
University of Stuttgart, Institute for Structural Mechanics Pfaffenwaldring 7, 70550 Stuttgart, Germany.
Hamburg University of Technology, Institute for Structural Analysis Denickestraße 17, 21073 Hamburg, Germany.
2025 (English)In: COMPDYN Proceedings, National Technical University of Athens , 2025, p. 91-104Conference paper, Published paper (Refereed)
Abstract [en]

The conditional stability of explicit time integration algorithms limits the critical time step size, which depends on the highest natural frequency of the discretized problem. For shear deformable structural finite element formulations, efficiency is typically limited by the highest transverse shear frequencies. Selective mass scaling (SMS) methods aim at selectively scaling the high frequencies while preserving the important low frequency content. In particular, recent SMS concepts, which are inspired by the discrete strain gap (DSG) method [1] and, thus, are denoted as DSGSMS concepts, result in effective and accurate methods, which naturally preserve both linear and angular momentum. In this contribution, we extend previous work on DSGSMS for shear deformable element formulations [2] with respect to several aspects. First, we perform a theoretical analysis of the DSGSMS method that provides new insight into spectral properties and analytical time step estimates. Second, we extend the DSGSMS method from Timoshenko beam elements to Mindlin plate elements. Third, we test the extended concept with respect to spectral accuracy and the transient behavior in explicit time integration. 

Place, publisher, year, edition, pages
National Technical University of Athens , 2025. p. 91-104
Keywords [en]
critical time step, discrete strain gap method, explicit dynamics, Mindlin plate elements, selective mass scaling, Timoshenko beam elements, Computational methods, Particle beams, Shear deformation, Shear flow, Structural analysis, Structural dynamics, Critical time steps, Discrete strain gap methods, Element-based, Explicit time integration, Mass scaling, Timoshenko beams, Mindlin plates
National Category
Mechanical Engineering
Research subject
Mechanical Engineering
Identifiers
URN: urn:nbn:se:kau:diva-109777DOI: 10.7712/120125.12394.25480Scopus ID: 2-s2.0-105033524767OAI: oai:DiVA.org:kau-109777DiVA, id: diva2:2054176
Conference
COMPDYN Proceedings
Available from: 2026-04-20 Created: 2026-04-20 Last updated: 2026-04-20Bibliographically approved

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Tkachuk, Anton

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