Rotating Euler-Bernoulli beams and non-homogeneous Timoshenko beams are widely used to model important engineering structures. Hence the vibration analyses of these beams are an important problem from a structural dynamics point of view. The governing differential equations of both these type of beams do not yield any simple closed form solutions, hence we look for the inverse problem approach in determining the beam property variations given certain solutions. Firstly, we look for a rotating beam, with pinned-free boundary conditions, whose eigenpair (frequency and mode-shape) is same as that of a uniform non-rotating beam for a particular mode. It is seen that for any given mode, there exists a flexural stiffness function (FSF) for which the ith mode eigenpair of a rotating beam with uniform mass distribution, is identical to that of a corresponding non-rotating beam with same length and mass distribution. Inserting these derived FSF's in a finite element code for a rotating pinned-free beam, the frequencies and mode shapes of a non-rotating pinned-free beam are obtained. For the first mode, a physically realistic equivalent rotating beam is possible, but for higher modes, the FSF has internal singularities. Strategies for addressing these singularities in the FSF for finite element analysis are provided. The proposed functions can be used as test functions for rotating beam codes and also for targeted destiffening of rotating beams. Secondly, we study the free vibration of rotating Euler-Bernoulli beams, under cantilever boundary condition. For certain polynomial variations of the mass per unit length and the flexural stiffness, there exists a fundamental closed form solution to the fourth order governing differential equation. It is found that there are an infinite number of rotating beams, with various mass per unit length variations and flexural stiffness distributions, which share the same fundamental frequency and mode shape. The derived flexural stiffness polynomial functions are used as test functions for rotating beam numerical codes. They are also used to design rotating cantilever beams which may be required to vibrate with a particular frequency. Thirdly, we study the free vibration of non-homogeneous Timoshenko beams, under fixed-fixed and fixed-hinged boundary conditions. For certain polynomial variations of the material mass density, elastic modulus and shear modulus, there exists a fundamental closed form solution to the coupled second order governing differential equations. It is found that there are an infinite number of non-homogeneous Timoshenko beams, with various material mass density, elastic modulus and shear modulus distributions, which share the same fundamental frequency and mode shape. They can be used to design non-homogeneous Timoshenko beams which may be required for certain engineering applications.

A theory is developed for the analysis of composite systems consisting of steel wide flange sections reinforced with GFRP plates connected to one of the flanges through a layer of adhesive. The theory is based on an extension of the Gjelsvik theory and thus incorporates local and global warping effects but omits shear deformation effects. The theory captures the longitudinal transverse response through a system of three coupled differential equations of equilibrium and the lateral-torsional response through another system of three coupled differential equations. Closed form solutions are developed and a super-convergent finite element is formulated based under the new theory. A comparison to 3D FEA results based on established solid elements in Abaqus demonstrates the validity of the theory when predicting the longitudinal-transverse response, but showcases its shortcomings in predicting the torsional response of the composite system. The comparison sheds valuable insight on means of improving the theory. A more advanced theory is subsequently developed based on enriched kinematics which incorporates shear deformation effects. The shear deformable theory captures the longitudinal-transverse response through a system of four coupled differential equations of equilibrium and the lateral-torsional response through another system of six coupled differential equations. A finite difference approximation is developed for the new theory and a new finite element formulation is subsequently to solve the new system of equations. A comparison to 3D FEA illustrates the validity of the shear deformable theory in predicting the longitudinal-transverse response as well as the lateral-torsional response. Both theories are shown to be computationally efficient and reduce the modelling and running time from several hours per run to a few minutes or seconds while capturing the essential features of the response of the composite system.

Du fait de leur facilité de fabrication et de leurs propriétés physiques uniques, les nanofils (NFs) de semi-conducteurs présentent des potentialités d’application importantes elles pouvaient être comme briques élémentaires de nombreux dispositifs nano- et opto-électroniques. Différents procédés de fabrication ont été développés pour fabriquer et organiser ces nanofils en épitaxie sur silicium. Cependant, un des principaux problèmes réside dans le manque de reproductibilité des NFs produits naturellement. Pour obtenir un meilleur contrôle de leur périodicité, localisation, forme et taille, différents types de gravure ont été mis au point. Aujourd’hui, des incertitudes importantes persistent quant à leurs propriétés fondamentales, en raison d’un manque de corrélation entre les propriétés électroniques et optiques et les détails microscopiques (composition, structure, chimie ...etc.). L’objectif de ce travail est de développer deux types de procédés de fabrication : le premier "top-down" est basé sur la nanogravure directe par faisceau d’ions focalisés (FIB)de couches bi-dimonsionnelles de SiGe. Ce procédé permet de contrôler la taille des NFs, les déformations, et leur localisation précise. Il permet de fabriquer des réseaux de larges piliers. Les NFs réalisés par cette technique sont peu denses et de diamètre important. Le second procédé est de type "Bottom-Up" ; il s’appuie sur la croissance VLS à partir de catalyseurs métalliques (AuSi). Les NFs réalisés ont étudiés à l’échelle locale afin de mesurer la taille moyenne de contrainte ainsi que leur effet sur le confinement quantique et sur la structure de bande des NFs. / SiGe/Si core/shell nanowires (NWs) and nanodots (NDs) are promising candidates for the future generation of optoelectronic devices. It was demonstrated that the SiGe/Si heterostructure composition, interface geometry, size and aspect ratios can be used to tune the electronic properties of the nanowires. Compared to pure Si or Ge nanowires, the core-shell structures and exhibit extended number of potential configurations to modulate the band gap by the intrinsic strain. Moreover, the epitaxial strain and the band-offsets produce a better conductance and higher mobility of charge carriers. Recent calculations reported that by varying the core-shell aspect ratio could induce an indirect to direct band gap transition. One of the best configurations giving direct allowed transitions consists of a thin Si core embedded within wide Ge shell. The Germanium condensation technique is able to provide high Ge content (> 50%) shell with Si core whom thickness of core and shell can be accurately tuned. The aim of this work is to develop two types of synthesis processes: the first "top-down" will be based on direct nanoetching by focused ion beam (FIB) of 2D SiGe layer. This process allows the control of the size of NWs, and their precise location. The NWs achieved by this technique are not very dense and have a large diameter. The second processes called "bottom-up"; are based on the VLS growth of NWs from metal catalysts (AuSi). Grown NWs have been studied locally in order to measure the mean size and the strain and their effects on the quantum confinement and band structure of NWs.

Quick and accurate predictions of equivalent properties for thin-walled composite structures are required in the preliminary design process. Existing literature provides analytical solutions to some structures but is limited to particular cases. No unified approach exists to tackle homogenization of thin-walled structures such as beams, plates, or three-dimensional structures using the thin-walled approximation. In this work, a unified approach is proposed to obtain equivalent properties for beams, plates, and three-dimensional structures for thin-walled composite structures using mechanics of structure genome. The adopted homogenization technique interprets the unit cell associated with the composite structures as an assembly of plates, and the overall strain energy density of the unit cell as a summation of the plate strain energies of these individual plates. The variational asymptotic method is then applied to drop all higher-order terms and the remaining energy is minimized with respect to the unknown fluctuating functions. This has been done by discretizing the two-dimensional unit cell into one-dimensional frame elements in a finite element description. This allows the handling of structures with different levels of complexities and internal geometry within a general framework. Comparisons have been made with other works to show the advantages which the proposed model offers over other methods.

This diploma thesis deals with the design and assessment of the steel structure of the administrative building. The building is situated in Svitavy. The construction has several floors, the ground plan is L-shaped. Other floors have a rectangular ground plan. The external ground plan dimensions of the building are 55.2 m × 72 m. The building has terraces and three height levels occupied. At the first height level the building reaches 5 floors, the other 7 floors and the top 9 floors. the main material will be S235 steel on the construction.

This diploma thesis deals with roll stiffness of twist beam axle. There are described experi-mental and analytic methods of measuring, its applications and comparison on a particular type of axle. There is also construction plan of system usable for this measuring.

Diploma thesis deal with design of laser beam shaping system. The theoretical part presents basic information about the light spread lika the optical beams. There are also properties of optical and optoelectronic components that are used for shaping the laser beam. The next section provides basic molding methods, their principles and qualities. In the last, experimental, part is first introduced designed computer algorithm, which is then used to calculate the quality parameters shaped laser beams. Following, there are presented the results of measurements and calculations for some of these methods.

This work is focused on the study of the intensity profile of optical beams. In the first part problematics of optical beams from theoretical point of view is discussed, Model of realistically circular symmetric beam in an ideal lossless, stationary, homogeneous and isotropic medium is formed in Matlab®. The next part of the thesis deals with implementation of automatic workplace for measuring intensity profile of optical beams. Within the thesis - PCB desing of photodetector in Eagle®, is discussed. Custom application for controlling the motorized linear stage M – IMS 400 and communication with photodetector in the Microsoft Visual Studio 2010® was created.

My thesis is focused on a design and comparism of the highway bridge across Dolansky creek. The bridge is built by balanced cantilever method. The common span length is 110metres. The bridge is post-tensioned concrete structure.The static model is made of beams.The static analysis during lifespan of bridge is made by Time discretization analysis . The design of reinforcement is made for longitudinal section and cross section.

The diploma thesis deals with the experimental study of surface plasmon polaritons (SPPs) on nano-structures with the Au/Co/Au multilayer. Plasmonic structures were prepared by the electron beam lithography and by the focused ion beam. A Scanning optical near-field microscope was used for detection of surface plasmon polaritons. SPPs were confirmed by the experiment with different polarizations of the illuminating light. Furthermore, differences in plasmon interference wavelengths was measured for different surface dielectric functions. Finally, the decantation of the SPPs interference image was measured in dependence on the external magnetic field.