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Construction of the Lyapunov function reflecting the physical properties of the model
Náprstek, Jiří ; Fischer, Cyril
Practical experience shows that the random excitation component can affect the system response and its dynamic stability not only negatively but also positively. Such mechanisms are usually developed heuristically and are often not sufficiently justified theoretically. The paper presents a possibility of using the properties of first integrals for the construction of a Lyapunov function for the analysis of a dynamic system stability in the stochastic domain. In such case, the Lyapunov function itself contains information on the examined system and, consequently, it is able to provide a more detailed insight into the system stability properties. The procedure is illustrated by a nonlinear SDOF example.
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Analysis of van der Pol equation on slow time scale for combined random and harmonic excitation
Náprstek, Jiří ; Fischer, Cyril
Vortex shedding represents one of the most important processes that constantly attract the attention of experimental and theoretical research. A number of non-linear effects arise from the fluid-structure interaction. The non-stationary response in the vicinity of the lock-in region has a quasi-periodic character, beating frequency of which varies considerably with the distance from the lock-in frequency. This property is significantly affected by the assumption of combined random and harmonic excitation. This paper describes several details that contribute to the probabilistic characteristics of the system on a time-slow scale using partial response amplitudes.
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Výběr vzorků malt pro radiouhlíkové datování
Válek, Jan ; Kozlovcev, Petr ; Fialová, Anna ; Kotková, Kristýna ; Frankeová, Dita ; Skružná, Olga ; Maříková-Kubková, Jana ; Tomanová, Pavla ; Herichová, Iva ; Světlík, Ivo ; Pachnerová Brabcová, Kateřina ; Šimek, Pavel
Radiokarbonové datování organických zbytků nemusí vždy správně vypovídat o stáří analyzované historické malty. Proto se zdá výhodné využití možnosti datace uhlíku obsaženého ve struktuře vápenné malty, který při správném zpracování poskytne reprezentativní údaje o době vzniku studované konstrukce. Metodika představuje základní návod pro výběr vzorků, jejich zpracování a vyhodnocení. Cílem metodiky je identifikace případů, kdy je radiouhlíková datace pojiva vhodná a vymezení důvodů proč se u některých pojivových systémů nedaří získat relevantní výsledky.
Plný tet:  PDF; PDF
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Wooden construction of the movable roof of the garden pavilion in Český Krumlov castle
Bláha, Jiří ; Kloiber, Michal
A remarkable technical monument is situated on one of the garden terraces belonging to the state castle and chateau in Český Krumlov. The umbrella-shaped roof of the lookout pavilion can be lifted about a meter above the masoned parapet allowing the visitor a beautiful view of the World Heritage town panorama when the weather is fine. In windy conditions or in case of heavy rain the roof could be lowered and the pavilion thus closed. The lifting is operated by means of a wooden lever mechanism with a counterweight box hidden in the basement level of the building. The unique construction was built in 1823 and needed to be partially altered in 1830-1835. However, since then it has been preserved in a surprisingly authentic state even allowing practical demonstrations of its original function. Prior to recent repairs in 2016, a comprehensive non-destructive survey was conducted. The extent of the damage discovered was determined by measuring the speed of elastic wave propagation using stress waves (Fakkop 2D) and measuring the mechanical resistance when drilling with a thin bit using resistance micro-drilling (Resistograph). Another method based on loading timber by means of a\nminiature loading jack inserted into a drilled hole was selected to determine the current mechanical properties.
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Charpy zkoušky materiálu ČSN 19 312 siloměrného čepu
Šperl, Martin ; Gajdoš, Lubomír ; Bejdl, Jan
Charpyho zkoušky zátěžových měřicích trnů z oceli ČSN 19312 byly provedeny při teplotě 20 °C, 0 °C, -20 °C, popř.\n-40 °C s cílem ověřit, že Charpyho vrubová houževnatost kolíků si zachovává svou průměrnou hodnotu i při -40 °C. Výsledky ukázaly, že ocel nevykazuje typickou tranzitní křivku typu S v teplotním rozsahu 20 °C ÷ -40 °C, díky čemuž se vrubová houževnatost podle Charpyho při -40 °C prakticky nelišila od vrubové houževnatosti při vyšších teplotách.
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Analytical model of joint loaded perpendicular to wooden grain
Hataj, M. ; Pošta, J. ; Hasníková, Hana ; Kunecký, Jiří
Computing models for structural behaviour and determination of traditional timber butt joints using analytical relations are presented in this paper. A component method is the base of the computing technique introduced herein. This method is usually used for steel joint design. The component method is based on dividing a joint into individual components. These are defined by partial joint component stiffness. An analytical solution includes a subsidence effect of wooden material close to compressive loading. Analytical computation results are compared with the experimental outputs. A design procedure according to Eurocode 5 for a load capacity determination of perpendicularly loaded structural elements is stated in the paper.
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