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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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. i 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 i 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 i 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. i 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]. 02.2024. [pristupljeno 11.11.2024.];419. doi: 10.1016/j.cma.2023.116665

J. Tomec i 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, Veljača 2024. [Online]. Dostupno na: https://urn.nsk.hr/urn:nbn:hr:157:188735. [Citirano: 11.11.2024.]

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Podaci o radu
Naslov (engleski)Momentum and near-energy conserving/decaying time integrator for beams with higher-order interpolation on SE(3)
AutorJan Tomec
AutorGordan Jelenić
MBZ: 259682
Autorova ustanovaSveučilište u Rijeci
Građevinski fakultet
Znanstveno / umjetničko
područje, polje i grana		TEHNIČKE ZNANOSTI
Građevinarstvo
Znanstveno / umjetničko
područje, polje i grana		TEHNIČKE ZNANOSTI
Temeljne tehničke znanosti
Sažetak (engleski)
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.
Ključne riječi (engleski)
Jezikengleski
Vrsta publikacijeZnanstveni rad - Izvorni znanstveni rad
Status objaveObjavljen
Vrsta recenzijeRecenziran - međunarodna recenzija
Verzija publikacijeObjavljena verzija rada (izdavačev PDF)
Naslov časopisaComputer Methods in Applied Mechanics and Engineering
Brojčani podacivol. 419, 116665
p-ISSN0045-7825
DOIhttps://doi.org/10.1016/j.cma.2023.116665
URN:NBNurn:nbn:hr:157:188735
Datum objave publikacije2024-02
URL dokumentahttps://linkinghub.elsevier.com/retrieve/pii/S0045782523007880
Vrsta resursaTekst
Prava pristupaOtvoreni pristup
Uvjeti korištenjaIkona licence Imenovanje-Nekomercijalno 4.0 međunarodna (CC BY-NC 4.0)
Datum i vrijeme pohrane2023-12-06 07:43:19