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Material nonlinear solution of beam structures
Kabeláč, Jaromír ; Krejsa,, Martin (referee) ; Návrat,, Tomáš (referee) ; Němec, Ivan (advisor)
The dissertation deals with solution of beam and frame structure considering material nonlinearity. The finite elements method (FEM) was used as calculation method. The objective of the dissertation was to develop and test finite beam element considering material nonlinearity. A detailed analysis of the problem provided a group of formulations of beam element. Part of the dissertation´s results has been, in several forms, implemented in commercial software. Beam element focused on solution of stress over solid cross sections is introduced in the theoretical part. In terms of topology it is a classical prismatic beam element with two nodes. Six degrees of freedom for translations and rotations are defined in each node plus 7-th degree of freedom for warping function from torsion. Load form axial force, bending moments, primary torsion, shear forces and eventually bimoment for secondary torsion were considered in cross section. Several variants of formulations were created according to inclusion of loading components into material nonlinearity and according to numeric integration method. Inclusion of geometric nonlinearity and fire resistance calculation are discussed in the dissertation. The above mentioned formulations were tested on prototypes as described in the application part which also provides information on the general procedure, architecture and technologies used for implementation of knowledge from the theoretical part into commercial FEM software. The dissertation shows implementation of plasticity for shell, solutions of cross section characteristics and stress on cross section, implementation of beam element with material nonlinearity and module for fire resistance of column. The above mentioned implementations of theoretical conclusions are the main outputs of the dissertation. These implementations are available in thousands of installations throughout Europe where being used at projection of significant constructions.
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Design and analysis of membrane roof of a stadium.
Lang, Rostislav ; Kytýr,, Jií (referee) ; Němec, Ivan (advisor)
This diploma thesis deals with problem of design and calculation of membrane structure of stadium roof. This is a complex engineering problem, which includes many partial problems: finding of initial form of membrane, statically and architecturally suitable arrangement of catenaries, economical solution of boundary conditions (foundations). All components affect each other and cannot be dealt without mutual coordination. It always greatly depends on the experience and intuition of engineer who design such structure. Task which cannot be resolved according to the theory of the first order. Equilibrium forces on the deformed structure, which in many projected structures gives satisfactory results, did not correspond to reality. It is therefore necessary to consider equilibrium of forces on the deformed structure according to the theory of large deformations. Diploma thesis was entered with regard to the intention of the companies Ing. Software Dlubal s.r.o. and FEM consulting s.r.o., working together to develop software RFEM. These companies plan to complement this program system with a module MEMBRANE for searching of initial shapes of membrane structures. This work is a contribution to the creation of this module.
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Hybrid materials based on magnetically bistable molecular compounds
Vavrečková, Šárka ; Herchel, Radovan (referee) ; Nemec, Ivan (advisor)
Tato diplomová práce se zaobírá depozicí jednomolekulárních magnetů na grafen. Teoretická část se věnuje jednomolekulárním magnetům, vybraným způsobům depozice jednomolekulárních magnetů na dvourozměrné materiály a grafenu. Dále jsou rozebrány fyzikální principy zvolených charakterizačních metod (mikroskopie atomárních sil, elektronová skenovací mikroskopie, Ramanova spektroskopie, rentgenová fotoelektronová spektroskopie a elektronová paramagnetická rezonance). V praktické části byla provedena depozice šesti kobaltových jednomolekulárních magnetů pomocí termální sublimace. U dvou z nich byla provedena také depozice z roztoku metodou „drop-casting“ k ověření jejich vysoké stability. Poté byly vzorky analyzovány pomocí již výše zmíněných metod a diskutovány výsledky. Díky úspěšným depozicím se podařilo identifikovat stabilní jednomolekulární magnety se slibnými magnetickými vlastnosti.
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Study of impact of a transport vehicle into a structure.
Sychrová, Šárka ; Salajka, Vlastislav (referee) ; Němec, Ivan (advisor)
Master's thesis deals with the analysis of the impact of transport vehicle on a building structure. Transport vehicle is represented by an airliner and building structure is represented by a containment of a nuclear power plant. The aim of thesis was to explore the possibility of numerical simulation of an impact of transport vehicle on a building structure utilizing the RFEM program and evaluation of the damage extent.
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Material nonlinear solution of structures made of plastics
Weis, Lukáš ; Krejsa,, Martin (referee) ; Králík,, Juraj (referee) ; Kytýr, Jiří (referee) ; Němec, Ivan (advisor)
The presented thesis focuses on static analysis of plastic structures, taking into account nonlinear behaviour of the material depending on the stress. The static analysis is performed using the finite element method. The difference between material linear and material nonlinear approach is illustratively described in the introduction. A shell finite element, which is enhanced by the possibility of further delamination into layers and integration points along its thickness, is suitable to be used for a numerical analysis of a plastic structures. Separate chapters are devoted to the integration of the resulting values over the height of the cross-section. The integration of the material stiffness matrix correctly reflects the emergence of eccentricity. A part of the attention is devoted to the numerical quadrature rules. Next chapter is devoted to material nonlinear models. Two approaches are described: a simpler one, using the isotropic nonlinear elastic model, and more general one, using the orthotropic plastic model. The theoretical description is complemented by the graphic interpretation of the criteria according to the individual authors. A significant portion of this work is devoted to the algorithmization of calculation procedures described in the theoretical chapters. The algorithmization itself is implemented in Fortran language into a dynamic-link library which is part of the software program RFEM 5 which is widely used in engineering practice. A part of the work is a study comparing the performance of the different technologies applicable for the algorithmization of the described issues. The agreement of the theoretical analysis of the material models and subsequent implementation within the RFEM 5 is demonstrated on the example of the bent cantilever. The thermoplastic aboveground tank structure is subject of detailed material linear, and nonlinear analysis respectively. The various approaches are compared on the results of stress, deformation an
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Verification of nonlinear material models
Prokš, Tomáš ; Němec, Ivan (referee) ; Hradil, Petr (advisor)
The bachelor thesis deals with verification of nonlinear material model of soil FHWA SOIL during shear test. The nonlinear problem was being solved by software LS-DYNA using explicit formulation of finite elements method. The values of horizontal displacements during the direct shear test were compared with the results listed by the developer of the material. The considerable difference in the results led to focusing on the settings of the material model and influence of application of load, geometry and type of finite elements on the monitoring values.
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Analysis of plastic bearability of plates
Rozsypalová, Veronika ; Hradil, Petr (referee) ; Němec, Ivan (advisor)
The subject of this thesis is analysis of the plastic bearability of plates. The first part is dedicated to a description of pertinent theories. It is primarily a theory of material nonlinearity and plasticity, including a description of plasticity models, which are commonly used in engineering analysis. Next is the hinted theory of geometric nonlinearity and discusses the key principles of limit plastic bearability of plates. This thesis includes ultimate strength calculations of plates of selected shapes, their solution by both, a manual calculation and using computational software. The obtained values are subsequently evaluated. The appendices contain the procedures for modelling in the computational programs RFEM and ANSYS.
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Verification of nonlinear material models of concrete
Král, Petr ; Němec, Ivan (referee) ; Hradil, Petr (advisor)
Diploma thesis is focused on the description of the parameters of nonlinear material models of concrete, which are implemented in a computational system LS-DYNA, interacting with performance of nonlinear test calculations in system LS-DYNA on selected problems, which are formed mainly by simulations of tests of mechanical and physical properties of concrete in uniaxial compressive and tensile on cylinders with applying different boundary conditions and by simulation of bending slab, with subsequent comparison of some results of test calculations with results of the experiment. The thesis includes creation of appropriate geometric models of selected problems, meshing of these geometric models, description of parameters and application of nonlinear material models of concrete on selected problems, application of loads and boundary conditions on selected problems and performance of nonlinear calculations in a computational system LS-DYNA. Evaluation of results is made on the basis of stress-strain diagrams and load-displacement diagrams based on nonlinear calculations taking into account strain rate effects and on the basis of hysteresis curves based on nonlinear calculations in case of application of cyclic loading on selected problems. Verification of nonlinear material models of concrete is made on the basis of comparison of some results of test calculations with results obtained from the experiment.
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Algorithms for design and analysis of membrane structures
Lang, Rostislav ; Krejsa,, Martin (referee) ; Kytýr, Jiří (referee) ; Němec, Ivan (advisor)
Předkládaná práce se zabývá problematikou navrhování membránových konstrukcí, a to především s ohledem na vývoj potřebných výpočetních nástrojů v rámci MKP programů. Po uvedení základních fyzikálních požadavků jednotlivých kroků při navrhování těchto konstrukcí budou dále prezentovány vybrané či navržené algoritmy. Kapitola form finding se zabývá analýzou tvaru membránových konstrukcí. Rovnovážný tvar je odvozen od požadavku na výsledné předpětí, specifikované okrajové podmínky a aplikované zatížení. Obecně se ale tento proces zabývá i samotným hledáním rovnovážné soustavy sil v prostoru. V důsledku této skutečnosti jsou součástí popisované analýzy také vhodné stabilizační metody. V této kapitole budou prezentovány jak zvolené postupy, tak i navržená stabilizační technika specializovaná na hledání tvarů kuželových membrán. Dále je také popsán navržený algoritmus pro řešení úloh optimalizujících tvary ohybově tuhých konstrukcí, které jsou spjaty s hledáním labilních rovnovážných konfigurací. Kapitola structural analysis je zaměřená především na fenomén vrásnění membrán. Tato náhlá ztráta stability silně ovlivňuje statickou i dynamickou odezvu membránových konstrukcí. V rámci této kapitoly je představena a verifikována navržená výpočetní metoda, modulárně aplikovatelná na lineární, nelineárně elastické i plastické materiály používané pro uvedené konstrukce. Kapitola cutting pattern generation se zabývá výpočtem střihových vzorů, nezbytných pro výrobní proces membránových konstrukcí. Pro tento proces je v rámci předkládané práce navržena kombinace dvou různých metod. Zvolená posloupnost algoritmů cílí na optimalizaci poměru rychlosti, obecnosti a přesnosti výpočtu. Zmíněné kapitoly jsou doplněny jednotlivými příklady, analyzovanými pomocí popisovaných algoritmů, které demonstrují konkrétní fyzikální problémy či nezbytné implementační procesy.
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