ǂOn ǂconservation of energy and kinematic compatibility in dynamics of nonlinear velocity-based three-dimensional beams

Povzetek

In this paper, we present an original energypreserving numerical formulation for velocity-based geometrically exact three-dimensional beams. We employ the algebra of quaternions as a suitable tool to express the governing equations and relate rotations with their derivatives,while the finite-element discretization is based on interpolation of velocities in a fixed frame and angular velocities in a moving frame description. The proposed time discretization of governing equations directly relates the energy conservation constraint with the time-discrete kinematic compatibility equations. We show that a suitable choice of primary unknowns together with a convenient choice of the frame of reference for quantities and equations is beneficial for the conservation of energy and enables admissible approximations in a simple manner and without any additional effort. The result of this study is simple and efficient, yet accurate and robust numerical model.

Ključne besede

dinamika konstrukcij;nelinearni nosilci;kinematična kompatibilnost;ohranjanje energije;rotacijski kvaternioni;implicitna časovna integracija;structural dynamics;non-linear beams;kinematic compatibility;energy conservation;rotational quaternions;implicit time integration;

Podatki

Jezik:	Angleški jezik
Leto izida:	2019
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UL FGG - Fakulteta za gradbeništvo in geodezijo
UDK:	624.04:624.072.2(045)
COBISS:	8601953
ISSN:	0924-090X
Št. ogledov:	831
Št. prenosov:	441
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Slovenski jezik
Sekundarne ključne besede:	dinamika konstrukcij;nelinearni nosilci;kinematična kompatibilnost;ohranjanje energije;rotacijski kvaternioni;implicitna časovna integracija;
Vrsta dela (COBISS):	Članek v reviji
Strani:	str. 1379-1394
Letnik:	ǂLetn. ǂ95
Zvezek:	ǂšt. ǂ2
Čas izdaje:	jan. 2019
DOI:	10.1007/s11071-018-4634-y
ID:	11407618