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Algorithms for design and analysis of membrane structures
Lang, Rostislav ; Krejsa,, Martin (oponent) ; Kytýr, Jiří (oponent) ; Němec, Ivan (vedoucí práce)
The present thesis deals with membrane structures, focusing on the description of both the inherent physical necessitates which has to be dealt and the algorithms used when developing the FEM software. After introducing physical basis of the individual design and analysis steps, the specific issues associated with these calculation procedures as well as the particular solution processes are described. The first chapter deals with the form finding analysis, which is inherently associated with designing tensile structures. The equilibrium shape is derived from the requirement for the resulting prestress, given boundary conditions and applied external load. However, this process is also generally dealing with a complex task of searching for the equilibrium itself. Therefore, necessary stabilization techniques are an inherent part of the calculation procedures. The selected methods as well as the proposed technique specialized for the calculation of conical membranes are presented. In addition to the given thesis scope, the proposal of an algorithm for dealing with optimizing the shapes of arches and shells is described. In the chapter about the structural analysis, the main focus is given to the phenomenon of membranes wrinkling. This sudden loss of stability, when the compression occurs, strongly affects the structural response. The proposed algorithm is presented, which is modularly applicable to both the elastic and inelastic materials as described in detail. The chapter dealing with the cutting pattern generation process presents the proposal of the selected combination of two existing solution methods. This algorithms sequence focuses on reaching the optimum combination of the calculation speed, generality and precision. The individual chapters are complemented by presenting of the examples analyzed by using the described algorithms, which demonstrate the individual physical or implementation issues and the associated solution procedures.
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Analysis of a Sandwich panel under compressive loading
Kopylov, Gleb ; Katrňák, Tomáš (oponent) ; Mališ, Michal (vedoucí práce)
Main purpose of this bachelor’s thesis was to design appropriate simulation of the in-plane shear test and confirm it. Types of the composite panel failures and approaches to sandwich tests were discussed. Several simulation designs were proposed. Best design has been chosen, based on important criterions. Six experiments were simulated with chosen simulation design. Results of simulations and analytical calculations were compared. Some findings about wrinkling coefficients and crimping equation validity have been taken, based on the results comparison.
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Theoretical studies of rolled-up and wrinkled nanomembranes
Čendula, Peter ; Holý, Václav (vedoucí práce) ; Fedorchenko, Alexander I. (oponent) ; Onck, Patrick N. (oponent)
Názov práce: Teoretické štúdie rolovaných a zvlnených nanomembrán Autor: Mgr. Peter Cendula Katedra: Katedra fyziky kondenzovaných látok Vedúci dizertačnej práce: Prof. Dr. Oliver G. Schmidt, Prof. RNDr. Václav Holý, CSc. Abstrakt: Táto dizertačná práca sa zaoberá tromi blízkymi témami z oblasti rolo- vaných a zvlnených nanomembrán. Najprv zhrnieme klasické poznatky z mechanickej teórie tenkých dosiek, ktoré budeme používať pri popise nanomembrán. V prvej časti študujeme relaxáciu vnútorného napätia membrány po jej uvoľnení od substrátu pomo- cou odleptania pomocnej medzivrstvy. Súperenie medzi rolovaním do trubičky alebo zvlnením je kvalitatívne vysvetlené energetickou úvahou. Podobný model je použitý aj na určenie maximálneho počtu otáčok rolovanej trubičky. V druhej časti teoreticky a experimentálne ukážeme ako rolovanie zvlnenej obdĺžnikovej vrstvy zvýhodňuje for- movanie trubičiek na plochej hrane zvlnenej vrstvy. To umožňuje precíznu kontrolu pozície trubičky na substráte. V tretej časti študujeme rozdelenie energie optického prechodu kvantovej jamy pozdĺž zvlnenej membrány ako následok meniacej sa ohy- bovej deformácie. Tento efekt môže byť vhodný pre optické detektory a žiariče citlivé na deformáciu. Dôsledkom ohybovej deformácie je tiež lokalizácia stavu elektrónu a diery v rôznych miestach pozdĺž...
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Algorithms for design and analysis of membrane structures
Lang, Rostislav ; Krejsa,, Martin (oponent) ; Kytýr, Jiří (oponent) ; Němec, Ivan (vedoucí práce)
The present thesis deals with membrane structures, focusing on the description of both the inherent physical necessitates which has to be dealt and the algorithms used when developing the FEM software. After introducing physical basis of the individual design and analysis steps, the specific issues associated with these calculation procedures as well as the particular solution processes are described. The first chapter deals with the form finding analysis, which is inherently associated with designing tensile structures. The equilibrium shape is derived from the requirement for the resulting prestress, given boundary conditions and applied external load. However, this process is also generally dealing with a complex task of searching for the equilibrium itself. Therefore, necessary stabilization techniques are an inherent part of the calculation procedures. The selected methods as well as the proposed technique specialized for the calculation of conical membranes are presented. In addition to the given thesis scope, the proposal of an algorithm for dealing with optimizing the shapes of arches and shells is described. In the chapter about the structural analysis, the main focus is given to the phenomenon of membranes wrinkling. This sudden loss of stability, when the compression occurs, strongly affects the structural response. The proposed algorithm is presented, which is modularly applicable to both the elastic and inelastic materials as described in detail. The chapter dealing with the cutting pattern generation process presents the proposal of the selected combination of two existing solution methods. This algorithms sequence focuses on reaching the optimum combination of the calculation speed, generality and precision. The individual chapters are complemented by presenting of the examples analyzed by using the described algorithms, which demonstrate the individual physical or implementation issues and the associated solution procedures.
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Theoretical studies of rolled-up and wrinkled nanomembranes
Čendula, Peter ; Holý, Václav (vedoucí práce) ; Fedorchenko, Alexander I. (oponent) ; Onck, Patrick N. (oponent)
Názov práce: Teoretické štúdie rolovaných a zvlnených nanomembrán Autor: Mgr. Peter Cendula Katedra: Katedra fyziky kondenzovaných látok Vedúci dizertačnej práce: Prof. Dr. Oliver G. Schmidt, Prof. RNDr. Václav Holý, CSc. Abstrakt: Táto dizertačná práca sa zaoberá tromi blízkymi témami z oblasti rolo- vaných a zvlnených nanomembrán. Najprv zhrnieme klasické poznatky z mechanickej teórie tenkých dosiek, ktoré budeme používať pri popise nanomembrán. V prvej časti študujeme relaxáciu vnútorného napätia membrány po jej uvoľnení od substrátu pomo- cou odleptania pomocnej medzivrstvy. Súperenie medzi rolovaním do trubičky alebo zvlnením je kvalitatívne vysvetlené energetickou úvahou. Podobný model je použitý aj na určenie maximálneho počtu otáčok rolovanej trubičky. V druhej časti teoreticky a experimentálne ukážeme ako rolovanie zvlnenej obdĺžnikovej vrstvy zvýhodňuje for- movanie trubičiek na plochej hrane zvlnenej vrstvy. To umožňuje precíznu kontrolu pozície trubičky na substráte. V tretej časti študujeme rozdelenie energie optického prechodu kvantovej jamy pozdĺž zvlnenej membrány ako následok meniacej sa ohy- bovej deformácie. Tento efekt môže byť vhodný pre optické detektory a žiariče citlivé na deformáciu. Dôsledkom ohybovej deformácie je tiež lokalizácia stavu elektrónu a diery v rôznych miestach pozdĺž...
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Analysis of a Sandwich panel under compressive loading
Kopylov, Gleb ; Katrňák, Tomáš (oponent) ; Mališ, Michal (vedoucí práce)
Main purpose of this bachelor’s thesis was to design appropriate simulation of the in-plane shear test and confirm it. Types of the composite panel failures and approaches to sandwich tests were discussed. Several simulation designs were proposed. Best design has been chosen, based on important criterions. Six experiments were simulated with chosen simulation design. Results of simulations and analytical calculations were compared. Some findings about wrinkling coefficients and crimping equation validity have been taken, based on the results comparison.
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