The diploma thesis deals with project documentation for the realization of the sports centre in Zlín. Object is located on the edge of the city Zlín in build-up area of the sports halls. Object is defined from two sides by major roads, that are connected with family and residential buildings. Building site of the object is sligtly sloping, however with ground adapting adjusts into seeming flat land. The hall is devided on three operation parts. First and dominant unit is formed by gaming area with grandstrand, corresponding facilities included. Second unit is formed by mountaineering wall, corresponding included. Third unit is formed by bar, corresponding facilities included. Object is drafted with consideration of the Baťas architecture. Object is designed like a skeleton construction with combinated system of frames. Main supporting vertical construction of skeleton is designed from reinforced prefabricated concrete column. Main supporting horizontal construction of skeleton is designed like a system solution slimfloor, that is based on placing prestressed segment onto bottom side of a special beam Deltabeam. Within the main supporting construction is designed stifenner and construction of grandstrand as well, maid from reinforced prefabricard concrete. Sheathing of the object is combinated. From the second floor is designed system from thermal insulated sandwich panels, which is anchored into the pre-set steel construction. Roof is designed as a flat roof with trapezoidal metal sheet with thermal insulation and waterproofing layer made from m-PVC. Fillings of the object including light curtain wall is designed from system Schüco.

Mechanics of structure genome (MSG) is a unified homogenization theory that provides constitutive modeling of three-dimensional (3D) continua, beams and plates. In present work, the author extends the MSG to study the buckling of structures such as stiffened and sandwich panels. Such structures are usually slender or flat and easily buckle under compressive loads or bending moments which may result in catastrophic failure.<div><br><div>Buckling studies of stiffened and sandwich panels are found to be scattered. Most of the existed theories employ unnecessary assumptions or only apply to certain types of structures. There are few unified approaches that are capable of studying the buckling of different kinds of structures altogether. The main improvements of current approach compared with other methods in the literature are avoiding unnecessary assumptions, the capability of predicting all possible buckling modes including the global and local buckling modes, and the potential in studying the buckling of various types of structures.<br></div><div><br></div><div>For global buckling that features small local rotations, MSG mathematically decouples the 3D geometrical nonlinear problem into a linear constitutive modeling using structure genome (SG) and a geometrical nonlinear problem defined in a macroscopic structure. As a result, the original structures are simplified as macroscopic structures such as beams, plates or continua with effective properties, and the global buckling modes are predicted on macroscopic structures. For local buckling that features finite local rotations, Green strain is introduced into the MSG theory to achieve geometrically nonlinear constitutive modeling. Newton’s method is used to solve the nonlinear equilibrium equations for fluctuating functions. To find the bifurcated fluctuating functions, the fluctuating functions are then perturbed under the Bloch-periodic boundary conditions. The bifurcation is found when the tangent stiffness associated with the perturbed fluctuating functions becomes singular. Moreover, the arc-length method is introduced to solve the nonlinear equilibrium equations for post-local-buckling predictions because of its robustness. The imperfection is included in the form of geometrical imperfection by superimposing the scaled buckling modes in linear perturbation analysis on mesh.<br></div><div><br></div><div>Extensive validation case studies are carried out to assess the accuracy of the MSG theory in global buckling analysis and post-global-buckling analysis, and assess the accuracy of the extended MSG theory in local buckling and post-local-buckling analysis. Results using MSG theory and extended MSG theory in buckling analysis are compared with direct numerical solutions such as 3D FEA results and results in literature. Parametric studies are performed to reveal the relative influence of selective geometric parameters on buckling behaviors. The extended MSG theory is also compared with representative volume element (RVE) analysis with Bloch-periodic boundary conditions using commercial finite element packages such as Abaqus to assess the efficiency and accuracy of the present approach.<br></div></div>