Dinamika prostorskih linijskih elementov z interpolacijo deformacijskih količin

doktorska disertacija

Peter Češarek (Avtor), Dejan Zupan (Mentor), Matjaž Mikoš (Član komisije za zagovor), Gordan Jelenić (Član komisije za zagovor), Jože Korelc (Član komisije za zagovor), Igor Planinc (Član komisije za zagovor), Miran Saje (Komentor)

Povzetek

Ključne besede

gradbeništvo;prostorski nosilci;točna kinematika;časovna integracija;dinamika;masni delci;trki;

Podatki

Jezik:	Slovenski jezik
Leto izida:	2013
Izvor:	Ljubljana
Tipologija:	2.08 - Doktorska disertacija
Organizacija:	UL FGG - Fakulteta za gradbeništvo in geodezijo
Založnik:	[P. Češarek]
UDK:	624.074(043.3)
COBISS:	6238817
Št. ogledov:	2816
Št. prenosov:	603
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Angleški jezik
Sekundarni naslov:	Dynamics of spatial beams with interpolation of strain measures
Sekundarni povzetek:	In the present thesis we develop new numerical methods for dynamic analysis of beam-like structures in three-dimensional space. We consider time integration schemes and finite-element formulations, based on geometrically exact beam theory. The main novelty of the present approach is the choice of the derivatives of displacements and rotations, as the primary unknowns when considering the problem with respect to space and time. For time integration of dynamic equations we present Newmark scheme extended to non-linear space of rotations and propose new - modified Newmark scheme. The modified Newmark scheme employs time derivatives of displacements and rotations - velocities and angular velocities, as the only unknowns of the scheme. We introduce two finite-element formulations for analysis of spatial beams. The first formulation employs spatial derivatives of displacements and rotations - strains, as the primary unknowns, while the second formulation employs spatial derivatives of velocities and angular velocities as the only unknown functions. The primary unknowns are interpolated and a collocation method is chosen for discretization of the continuous equations. Newmark scheme is used for time discretization of kinematic quantities and Generalized-alpha method is used to assure numerical stability of the strain-based formulation. The velocity-based formulation employs modified Newmark scheme for time discretization of kinematic equations. Equations are solved by the iterative Newton's method, therefore the linearization of equations and the update procedure are presented. The computer code is generated and the performance of the formulations is tested on several numerical examples. Finally, the beam model is coupled with equations of motion of a moving particle. The impact of mass particle against beam is studied in detail.
Sekundarne ključne besede:	civil engineering;thesys;spatial beam;exact kinematics;dynamics;time integration;mass particle;impact;Gradbene konstrukcije;Disertacije;Analiza;
URN:	URN:NBN:SI
Vrsta datoteke:	application/pdf
Vrsta dela (COBISS):	Doktorska disertacija
Komentar na gradivo:	Univ. v Ljubljani, Fak. za gradbeništvo in geodezijo
Strani:	XXII, 114 str.
Ključne besede (UDK):	applied sciences;medicine;technology;uporabne znanosti;medicina;tehnika;engineering;technology in general;inženirstvo;tehnologija na splošno;civil and structural engineering in general;gradbena tehnika;gradbeništvo;structural elements;load-bearing members;gradbene konstrukcije;
ID:	29304