Dynamic analysis of grandstands
Dynamic analysis of grandstands
Typ dokumentu
disertační práceAutor
Rokoš Ondřej
Vedoucí práce
Máca Jiří
Studijní obor
Konstrukce a dopravní stavbyStudijní program
Stavební inženýrstvíInstituce přidělující hodnost
Fakulta stavebníObhájeno
2014-05-12 00:00:00.0Práva
A university thesis is a work protected by the Copyright Act. Extracts, copies and transcripts of the thesis are allowed for personal use only and at one’s own expense. The use of thesis should be in compliance with the Copyright Act http://www.mkcr.cz/assets/autorske-pravo/01-3982006.pdf and the citation ethics http://www.cvut.cz/sites/default/files/content/d1dc93cd-5894-4521-b799-c7e715d3c59e/cs/20160901-metodicky-pokyn-c-12009-o-dodrzovani-etickych-principu-pri-priprave-vysokoskolskych.pdfVysokoškolská závěrečná práce je dílo chráněné autorským zákonem. Je možné pořizovat z něj na své náklady a pro svoji osobní potřebu výpisy, opisy a rozmnoženiny. Jeho využití musí být v souladu s autorským zákonem http://www.mkcr.cz/assets/autorske-pravo/01-3982006.pdf a citační etikou http://www.cvut.cz/sites/default/files/content/d1dc93cd-5894-4521-b799-c7e715d3c59e/cs/20160901-metodicky-pokyn-c-12009-o-dodrzovani-etickych-principu-pri-priprave-vysokoskolskych.pdf
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The purpose of this thesis is to provide a systematic approach to the modelling of the crowd-grandstand problem taking into account various sources of randomness in complex FEM-based numerical approach using geometries, material properties and other parameters from the models for the static analysis. Further, to quantify performance and efficiency of this method in comparison with direct Monte Carlo simulation. To this end, stochastic calculus in terms of Itô's integral and Brownian motion process is employed to derive moment equations describing the resulting output quantities which can be subsequently used to asses overall serviceability and reliability of the system. Utilizing various methods which reduce the size of the corresponding mathematical model, the approach becomes tractable and quite efficient. It is demonstrated on several examples that not only the randomness of the induced active crowd forces can be captured, but also a random spatial distribution of a crowd and uncertainties in biodynamic models reflecting passive spectators. Since the approach is in its essence analytical, it illuminates and reveals several relationships between the behavior of the system response and particular sources of randomness. The purpose of this thesis is to provide a systematic approach to the modelling of the crowd-grandstand problem taking into account various sources of randomness in complex FEM-based numerical approach using geometries, material properties and other parameters from the models for the static analysis. Further, to quantify performance and efficiency of this method in comparison with direct Monte Carlo simulation. To this end, stochastic calculus in terms of Itô's integral and Brownian motion process is employed to derive moment equations describing the resulting output quantities which can be subsequently used to asses overall serviceability and reliability of the system. Utilizing various methods which reduce the size of the corresponding mathematical model, the approach becomes tractable and quite efficient. It is demonstrated on several examples that not only the randomness of the induced active crowd forces can be captured, but also a random spatial distribution of a crowd and uncertainties in biodynamic models reflecting passive spectators. Since the approach is in its essence analytical, it illuminates and reveals several relationships between the behavior of the system response and particular sources of randomness.
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- Disertační práce - 11000 [488]
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