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Smoothed Particle Hydrodynamics in Structural Dynamics
Hušek, Martin ; Králik,, Juraj (referee) ; Maňas,, Pavel (referee) ; Kala, Jiří (advisor)
The focus of the thesis is on the application of the Smoothed Particle Hydrodynamics (SPH) method in structural dynamics with an emphasis on usage of quasi-brittle materials. The first part is focused on the introduction, history, and theoretical background of SPH. Numerical examples in which strengths and weaknesses of SPH are shown follow. In addition to pure SPH models, several coupling approaches with the Finite Element Method (FEM) are also discussed. After the introduction of SPH, the focus is on quasi-brittle materials and their reinforced variants. The numerical concept and mathematical background of the Continuous Surface Cap Model are outlined, several benchmarks are presented. Strain-rate effects and their impact on pure SPH and coupled SPH-FEM models are evaluated next. In this section, the author proposes a new approach for SPH models reinforcement with FEM beam elements. The coupling approach was named sublayer coupling and shows a potential in simulations while the SPH tensile instability is alleviated. Since concrete is often associated with heterogeneity and very specific material structure, a unique algorithm for concrete structure generation in combination with SPH is proposed in the next chapter. The concept is based on utilization of coherent noise functions which can bring a variability to numerical models. It has been proved that the algorithm is robust, stable, and easy to implement into the SPH framework. With regard to that, the so-called numerical heterogeneity, a concept of parameters variability implementation, is introduced together with examples. The last part of the thesis is dedicated to the application of SPH in real experiments. The first experiment focuses on a high velocity impact. The second experiment deals with an explosion in which the focus is on both the loaded specimen and charge. Since SPH simulates the explosive, detonation products, and the loaded specimen, it is a fully coupled fluid-structure interaction simulation.
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Analysis of welded joints using Finite Element Method
Štěrba, Martin ; Kala, Jiří (referee) ; Hradil, Petr (advisor)
This diploma thesis is concerned with the numerical analysis of welded aluminim structures. In these structures, there are significant decreases in the mechanical properties at the area of the weld and in the heat affected zone as a result of welding. Within this thesis, simulations of quasi-statically loaded welded joints made from EN AW-6082 T6 alloy were performed to investigate the load capacity and ductility of these joints. Computations were performed using a programme system based on an explicit finite element method. To describe material anisotrophy, a nonlinear material model called the Weak texture model was chosen. Material properties of the weld and the heat affected zone were considered to be different from base material. The required material parameters were adopted from available literature, however, material tests and indetification procedure of these parameters were described. In comparison with the experimental data, the results of the numerical simulations showed a relatively good ability of models to capture load capacity of studied welded joints. Nevertheless, due to mesh sensitivity of models caused by localization of deformation, it was not possible to determine ductility of these joints.
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Reliability Analysis of Steel Columns with Encased Web in High Strength Concrete under Compression
Puklický, Libor ; Krejsa,, Martin (referee) ; Melcher, Jindřich (referee) ; Kala, Zdeněk (advisor)
The presented paper deals with a theoretical analysis of the ultimate limit state. The results of experimental research carried out at the Institute of Metal and Timber Structures headed by Assoc. Prof. Karmazinová and Professor Melcher were applied. The geometrically and materially nonlinear solution based on the Timošenko’s solution is verified by the FEM model in the computer programme system ANSYS. The random influence of initial imperfections is taken into consideration. The FEM model also includes the influence of residual stress. In the parametric study, the influence of residual stress on the cross-section plastification is researched into, its influence on the load carrying capacity limit is, together with the influence of other imperfections, the subject of the stochastic analysis, applying the Latin Hypercube Sampling (LHS). Further on, the study proves a direct effect of the concrete part of the cross-section (combination of materials steel-concrete) on the decrease of load carrying capacity limit of the beam caused by influence of the residual stress of steel. With regard to the importance of time dependent phenomena of the concrete creep for the load carrying capacity, the studies given in the Ph.D. thesis are oriented in this respect. The parametric studies of the influence of the concrete creep having applied the Standard Eurocode 2 provide both a comparison of load carrying capacity limits when using common and high-strength concrete types, and also the variability of load carrying capacities. It follows from the comparison of the statistical analysis outputs according to the design reliability conditions of the Standard EN1990 and of the approach of Eurocode 4 that the Eurocode 4 can be recommended for dimensioning of this member type. According to the studies which we carried out, the design in compliance with Eurocode 4 can be evaluated as the reliable one. A larger set of experimental data is necessary to determine the economy.
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Monitoring Service Properties of an IPFIX Collector
Kala, Jan ; Žádník, Martin (referee) ; Wrona, Jan (advisor)
This bachelor's thesis addresses possible ways of monitoring IPFIX collector, which is used for the collection of metadata about network traffic. The thesis briefly introduces the pro- blematics of monitoring and describes the current state of IPFIX collector, which is being developed by an organization called CESNET. It also describes service properties, which can be monitored during the process of data collection using the IPFIX protocol. A new plugin is described, which is intended for the collection and the export of service properties. The thesis describes an implementation and contains results of testing of the new plugin.
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Automated Annotation of Network Traffic Based on System Events
Kala, Jan ; Polčák, Libor (referee) ; Žádník, Martin (advisor)
This thesis addresses topic of network flow annotation using web traffic data. Introduces to problematics of network flow monitoring, analysis and classification and also to protocols HTTP and HTTPS. Describes technique of data collection from web browsers and their pairing with traffic flows. Proposes annotation system that is able to annotate web traffic in automated manner. Implementation of the proposed system is also part of this thesis
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Wind loads of building structures
Štěrba, Martin ; Kala, Jiří (referee) ; Hradil, Petr (advisor)
The bachelor thesis deals with the analysis of the effects of wind load on building structures. In the context of the work is solved the numerical modeling of flow around the solid cylindrical bodies at high Reynolds numbers. To the simulations has been used computational software ANSYS CFX. The outputs of the work are the values of Strouhal numbers and the values of drag and lift coefficient depending on the Reynolds number.
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Stabilitní analýza ocelových konstrukcí s imperfekcemi
Kalina, Martin ; Krejsa, Martin (referee) ; Kala, Jiří (referee) ; Kala, Zdeněk (advisor)
The aim of this work is focused on soluti0on stability problem of planar bar structures. The calculation algorithms and methods used for analysis of behavior of these structures are described. The discrete computational model of steel of von Mises planar truss is presented. The structure deformation is evaluated by seeking the minimal potential energy. The effect of vertical displacement of top joint is determined by step-by-step method, and Newton iteration. Symmetric and asymmetric effects of initial shape of geometric imperfections of axes of struts are used in the model. The work is focused on another step in research of mapping of potential energy of elastic structures with aim at arch structures. For selected hinged arch loaded by displacement in the midpoint, the area of two concurrently existing postcritical statical equilibrium states is scanned using dynamical relaxation and applying of a set of designed mapping methods.
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Semilattices and indecomposable elements
Kuděj, Martin ; Kala, Vítězslav (advisor) ; Korbelář, Miroslav (referee)
This thesis concerns the theory of semilattices, which are non-trivial discrete additive submonoids of Rn , which are contained in a cone. Special emphasis is on their indecomposable elements. The most important example of semilattices is derived from real quadratic number fields, which involves the most parts of the thesis and all indecomposable elements of such semilattices are characterised in two ways. That includes using various tools from number theory, mainly con- tinued fractions, their corresponding semiconvergents and their approximation properties, Farey pairs, but also some tools from algebraic number theory. The final part of the thesis concerns the upper bound of the norm of indecompos- able elements in a semilattice, derived from the Minkowski embedding of the corresponding number field. 1
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Statics, dynamics and kinematics of multibody contacts
Štekbauer, Hynek ; Kala, Jiří (referee) ; Krejsa, Martin (referee) ; Němec, Ivan (advisor)
The dissertation deals with the problem of dynamic contact and kinematic constraints between various entities and the related issues of its implementation for static and dynamic finite element analysis. The reason for the development in this area is the increasing demands on functionality of FEM softwares and also accuracy and performance of computational models. Firstly, the problem of enforcing contact conditions in explicit dynamics is addressed. New methods are proposed with respect to the stability of the explicit time integration scheme so that there is no need to reduce the computational time step, adjust the input variables or solve a large system of equations. These methods are based either on basic kinematic principles or on the energy conservation law. Furthermore, attention is paid to different types of constraint conditions having a wide application in civil engineering practice. Understanding them is the starting point for the subsequent definition of the newly designed finite element of the pulley. The correctness of all theoretically proposed methods and their implementation is demonstrated by numerical examples.
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