Razvoj izogeometrijske metode konačnih elemenata i njena primena u strukturnoj analizi nosećih struktura transportnih mašina
Докторанд
Milić, Predrag Đ.Ментор
Marinković, DraganЧланови комисије
Jovanović, MiomirJanošević, Dragoslav
Rajković, Predrag
Savković, Mile
Метаподаци
Приказ свих података о дисертацијиСажетак
The subject of doctoral dissertation is the isogeometric structural analysis.
The isogeometric analysis represents a special approach in the finite
element method (FEM) which aims at closing the gap between the actual
geometry of modeled structures and the geometry generated upon the
finite element discretization. In the isogeometric FE analysis, NURBS
(non-uniform rational basis spline) functions usually form the basis for the
definition of both the geometric models and interpolation functions of the
FE models. Regardless of the mesh density, the geometry is exactly
described in the FE model. The aim of the dissertation is the
systematization of procedures and methods necessary for isogeometric
analysis by creating general mathematical forms and program procedures.
Isogeometric FE models are defined by using the NURBS and T-spline
basis functions. An isogeometric solid element is formulated as well as a
Kirchhoff-Love shell element with the NURBS basic functions. The
met...hod of modeling complex structures formed from several surfaces by
using Kirchhoff-Love elements is presented. The results of the performed
isogeometric analyses were compared with analytical results, the results
yielded by the classical finite element method and experimental results.
The developed isogeometric models were tested in the field of linear static,
modal and explicit dynamic analyses. A particular part of the dissertation
is dedicated to the benefits of isogeometric analysis in the field of
structural analysis of transport machines complex structures. The
conclusions related to advantages and disadvantages of NURBS ant Tsplines
basis functions in the finite element method are presented through
examples and tests done in this dissertation. The directions of further
research are proposed.