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  • The aim of the research is to improve probabilistic analysis of time-variant structural reliability under stationary and ergodic conditions. It appears that a great number of actions on structures can be approximated by rectangular wave renewal processes with random durations between renewals. Simulation of the processes by the Crude Monte Carlo technique is investigated in detail and a new method is developed. The probability of %22on%22-state at an arbitrary point-in-time is obtained using a two-state Markov process. Time-variant reliability analysis is then investigated assuming an arbitrary number of mutually independent processes. New upper and lower bounds on the failure probability are proposed. Extensive numerical comparison of all the discussed formulas with the Monte Carlo simulations confirms drawn conclusions.
  • The aim of the research is to improve probabilistic analysis of time-variant structural reliability under stationary and ergodic conditions. It appears that a great number of actions on structures can be approximated by rectangular wave renewal processes with random durations between renewals. Simulation of the processes by the Crude Monte Carlo technique is investigated in detail and a new method is developed. The probability of %22on%22-state at an arbitrary point-in-time is obtained using a two-state Markov process. Time-variant reliability analysis is then investigated assuming an arbitrary number of mutually independent processes. New upper and lower bounds on the failure probability are proposed. Extensive numerical comparison of all the discussed formulas with the Monte Carlo simulations confirms drawn conclusions. (en)
  • Předkládaná publikace se zaměřuje na pravděpodobnostní rozbor časově závislé spolehlivosti stavebních konstrukcí za podmínek stacionarity a ergodicity. Ukazuje se, že velké množství zatížení působících na stavební konstrukce může být popsáno pomocí náhodných přerušovaných stupňovitých obnovovaných procesů. Principy generování obnovovaných procesů technikou Monte Carlo jsou podrobně vysvětleny a je navržena nová metoda. S využitím Markovského procesu je získán vztah pro pravděpodobnost výskytu zatížení v libovolném čase. Je proveden rozbor spolehlivosti pro kombinaci libovolného počtu procesů. Jsou odvozeny nové horní a dolní meze pravděpodobnosti poruchy. Odvozené poznatky a postupy jsou numericky ověřeny simulační metodou Monte Carlo. (cs)
Title
  • Probabilistic Analysis of Time-Variant Structural Reliability (en)
  • Probabilistic Analysis of Time-Variant Structural Reliability
  • Pravděpodobnostní rozbor časově závislé spolehlivosti stavebních konstrukcí (cs)
skos:prefLabel
  • Probabilistic Analysis of Time-Variant Structural Reliability (en)
  • Probabilistic Analysis of Time-Variant Structural Reliability
  • Pravděpodobnostní rozbor časově závislé spolehlivosti stavebních konstrukcí (cs)
skos:notation
  • RIV/68407700:21610/05:07117250!RIV08-MSM-21610___
http://linked.open...avai/riv/aktivita
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  • P(LA 164), Z(MSM 210000029)
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  • 538712
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  • RIV/68407700:21610/05:07117250
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  • failure probability; reliability; time-variant process; upper bound (en)
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  • [5F7671F1BE62]
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  • Praha
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  • Probabilistic Analysis of Time-Variant Structural Reliability
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  • Sýkora, Miroslav
http://linked.open...n/vavai/riv/zamer
number of pages
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  • České vysoké učení technické v Praze
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  • 80-01-03305-8
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  • 21610
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