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Journal of Theoretical
and Applied Mechanics
7, 3, pp. 289-297, Warsaw 1969
and Applied Mechanics
7, 3, pp. 289-297, Warsaw 1969
Zależność ryzyka awarii od parametrów procesu obciążenia
Celem niniejszej pracy jest zanalizowanie zależności ryzyka awarii r(t) od charakterystyk losowego obciążenia. Zagadnienie to rozwiązano w przypadku, gdy konstrukcja podlega zmęczeniu i starzeniu oraz obciążenie jest dowolnym niestacjonarnym procesem losowym. Jest to uogólnienie zadania, jakie postawili i rozwiązali (w zastosowaniu do utraty wytrzymałości ośrodka stałego mikroniejednorodnego) Murzewski i autor [6].
DEPENDENCE OF THE RISK OF FAILURE ON LOADING PROCESS PARAMETERS
The formula [6] for the risk of failure is derived under assumptions that the load carrying capacity is variable in time and the loads acting on the structure are random. The problem of surpassing of a certain level by the random function is applied and the risk of failure is formulated in terms of the loads, the load rates and the carrying capacity. It has been demonstrated that in the particular case of a stationary load process and a constant carrying capacity the risk of failure is independent of time.
DEPENDENCE OF THE RISK OF FAILURE ON LOADING PROCESS PARAMETERS
The formula [6] for the risk of failure is derived under assumptions that the load carrying capacity is variable in time and the loads acting on the structure are random. The problem of surpassing of a certain level by the random function is applied and the risk of failure is formulated in terms of the loads, the load rates and the carrying capacity. It has been demonstrated that in the particular case of a stationary load process and a constant carrying capacity the risk of failure is independent of time.