A consistent strain-based beam element with quaternion representation of rotations

Lolić, Damjan (avtor), Zupan, Dejan (avtor), Brojan, Miha (avtor)

We present a novel consistent singularity-free strain-based finite element formulation for the analysis of three-dimensional frame-like structures. Our model is based on a geometrically exact finite-strain beam theory, quaternion parametrization of spatial rotations, assumption that the strain measures are constant along the length of the element and a proper choice of basis for the translational strain vector representation. As it is common for strain-based elements, the present formulation does not suffer from shear locking. A comparison of our results with the results from the literature and a commercial finite element analysis software demonstrates the advantages of the proposed formulation, especially when the structure is subjected to larger shear deformations. This stems from the fact that our model ensures a mathematically consistent updating procedure for all the quantities describing the beam. This aspect is often overlooked, since most of the numerical cases from other studies on this topic engage rather small-shear strains for which the consistent update is not crucial as the number of elements is increased.

• Jezik: Angleški jezik
• Ključne besede: non-linear beams, rotational quaternions, strain vectors, global basis description
• Vrsta gradiva: Znanstveno delo
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FGG - Fakulteta za gradbeništvo in geodezijo
• Status publikacije: V tisku
• Različica publikacije: Recenzirani rokopis
• Leto izida: 2020
• Št. strani: Str. 1-16
• Številčenje: Letn. XX, št. XX
• PID: 20.500.12556/RUL-114127
• UDK: 531/533:624
• ISSN pri članku: 0178-7675
• DOI: 10.1007/s00466-020-01826-0
• COBISS.SI-ID: 9081185
• Datum objave v RUL: 18.02.2020

Gradivo je del revije

• Naslov: Computational mechanics
• Skrajšan naslov: Comput. mech.
• Založnik: Springer
• ISSN: 0178-7675
• COBISS.SI-ID: 6668037

Licence

• Licenca: CC BY-NC-ND 4.0, Creative Commons Priznanje avtorstva-Nekomercialno-Brez predelav 4.0 Mednarodna
• Povezava: http://creativecommons.org/licenses/by-nc-nd/4.0/deed.sl
• Opis: Najbolj omejujoča licenca Creative Commons. Uporabniki lahko prenesejo in delijo delo v nekomercialne namene in ga ne smejo uporabiti za nobene druge namene.
• Začetek licenciranja: 18.02.2020

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: nelinearni nosilci, rotacijski kvaternioni, deformacijski vektorji, opis v fiksni bazi

Projekti

• Financer: ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
• Številka projekta: P2-0263
• Naslov: Mehanika v tehniki

• Financer: ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
• Številka projekta: J2-8170
• Naslov: Nelinearna dinamika prostorskih okvirjev z izpolnjeno kinematično kompatibilnostjo za zahtevno uporabo v industriji