Dinamika prostorskih linijskih elementov z interpolacijo deformacijskih količin

doktorska disertacija

Peter Češarek (Author), Dejan Zupan (Mentor), Matjaž Mikoš (Thesis defence commission member), Gordan Jelenić (Thesis defence commission member), Jože Korelc (Thesis defence commission member), Igor Planinc (Thesis defence commission member), Miran Saje (Co-mentor)

Abstract

Keywords

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

Data

Language:	Slovenian
Year of publishing:	2013
Source:	Ljubljana
Typology:	2.08 - Doctoral Dissertation
Organization:	UL FGG - Faculty of Civil and Geodetic Engineering
Publisher:	[P. Češarek]
UDC:	624.074(043.3)
COBISS:	6238817
Views:	2816
Downloads:	603
Average score:	0 (0 votes)
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Other data

Secondary language:	English
Secondary title:	Dynamics of spatial beams with interpolation of strain measures
Secondary abstract:	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.
Secondary keywords:	civil engineering;thesys;spatial beam;exact kinematics;dynamics;time integration;mass particle;impact;Gradbene konstrukcije;Disertacije;Analiza;
URN:	URN:NBN:SI
File type:	application/pdf
Type (COBISS):	Dissertation
Thesis comment:	Univ. v Ljubljani, Fak. za gradbeništvo in geodezijo
Pages:	XXII, 114 str.
Keywords (UDC):	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