prikaz prve stranice dokumenta Momentum and near-energy conserving/decaying time integrator for beams with higher-order interpolation on SE(3)
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Scientific paper - Original scientific paper
Momentum and near-energy conserving/decaying time integrator for beams with higher-order interpolation on SE(3)
Computer Methods in Applied Mechanics and Engineering, 419 (2024); 116665. https://doi.org/10.1016/j.cma.2023.116665
Tomec, Jan; Jelenić, Gordan

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Tomec, J. & Jelenić, G. (2024). Momentum and near-energy conserving/decaying time integrator for beams with higher-order interpolation on SE(3). Computer Methods in Applied Mechanics and Engineering, 419.. doi: 10.1016/j.cma.2023.116665

Tomec, Jan and Gordan Jelenić. "Momentum and near-energy conserving/decaying time integrator for beams with higher-order interpolation on SE(3)." Computer Methods in Applied Mechanics and Engineering, vol. 419, 2024. https://doi.org/10.1016/j.cma.2023.116665

Tomec, Jan and Gordan Jelenić. "Momentum and near-energy conserving/decaying time integrator for beams with higher-order interpolation on SE(3)." Computer Methods in Applied Mechanics and Engineering 419 (2024). https://doi.org/10.1016/j.cma.2023.116665

Tomec, J. and Jelenić, G. (2024) 'Momentum and near-energy conserving/decaying time integrator for beams with higher-order interpolation on SE(3)', Computer Methods in Applied Mechanics and Engineering, 419. doi: 10.1016/j.cma.2023.116665

Tomec J, Jelenić G. Momentum and near-energy conserving/decaying time integrator for beams with higher-order interpolation on SE(3). Computer Methods in Applied Mechanics and Engineering [Internet]. 2024 February [cited 2024 November 10];419. doi: 10.1016/j.cma.2023.116665

J. Tomec and G. Jelenić, "Momentum and near-energy conserving/decaying time integrator for beams with higher-order interpolation on SE(3)", Computer Methods in Applied Mechanics and Engineering, vol. 419, February 2024. [Online]. Available at: https://urn.nsk.hr/urn:nbn:hr:157:188735. [Accessed: 10 November 2024]

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Metadata
Title (english)Momentum and near-energy conserving/decaying time integrator for beams with higher-order interpolation on SE(3)
AuthorJan Tomec
AuthorGordan Jelenić
MBZ: 259682
Author's institutionUniversity of Rijeka
Faculty of Civil Engineering
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Civil Engineering
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Basic Technical Sciences
Abstract (english)
This study aims to develop a simple yet robust time-integration scheme for configurationinterpolated beam finite elements. Geometrically exact theory is employed to model the beams. It utilises the rotations which belong to a non-commutative Lie group and thus require special attention. The configuration is interpolated using a two-node 𝑆𝐸(3) interpolation or its generalised implicit variant which enables higher orders. Such interpolation treats position and orientation as a unit and a member of the 𝑆𝐸(3) Lie group. This unified approach allows for elegant mathematical manipulation. By adapting the Lie midpoint rule appropriately, it becomes possible to express energy changes in terms of inertial and internal forces, thus enabling the derivation of a momentum conserving and almost energy conserving time integration algorithm. The precision of energy conservation depends solely on the length of the finite elements. With further modification, this algorithm can also become an energy-decaying algorithm. Despite the configuration-dependent nature of the interpolation, the need to deal with its derivatives is avoided, which simplifies the implementation. The method is tested using 3D numerical example with finite rotations which confirms, that the method indeed has the conservation properties and is stable and robust.
Keywords (english)
Languageenglish
Publication typeScientific paper - Original scientific paper
Publication statusPublished
Peer reviewPeer review - international
Publication versionPublished version
Journal titleComputer Methods in Applied Mechanics and Engineering
Numberingvol. 419, 116665
p-ISSN0045-7825
DOIhttps://doi.org/10.1016/j.cma.2023.116665
URN:NBNurn:nbn:hr:157:188735
Publication2024-02
Document URLhttps://linkinghub.elsevier.com/retrieve/pii/S0045782523007880
Type of resourceText
Access conditionsOpen access
Terms of useLicence Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) icon
Created on2023-12-06 07:43:19