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We also develop two algorithms that are useful for computing failure polynomials for quorum systems and prove that computing failure polynomials is #P-hard.
This paper presents a semi-analytical approach for computing failure probability of structure.
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A shell finite element is used to compute failure response of a representative part of each column and each beam of a frame under consideration; elasto-plasticity, geometrical nonlinearity and material softening (along with a localization limiter) are taken into account.
Burst-correcting convolution codes at structure of the convolution codes are appropriate and efficient in detecting and correcting errors from internal computing failures.
We also provide several observations about computing the failure polynomials of a quorum system (failure polynomials are used to measure availability).
The program is successfully demonstrated by computing the failure probability of an infinite slope under earthquake condition with a deterministic factor of safety (FOS) equal to 1.77.
Heterogeneous limit analysis is particularly suitable for computing the failure load of unreinforced masonry members since it permits a distinct modelling of bricks and mortar joints.
When the random variables are provided with probability distribution functions, suitable methods have to be used in computing the failure probability.
The efficiency of the new algorithm is demonstrated with a numerical example where MMHDR is used together with Subset simulation for computing small failure probabilities in high dimensions.
The original contribution consists in computing the failure probability as joint probability of two events: (1) the exceeding of the constant amplitude fatigue limit (CAFL); and (2) the critical fatigue damage accumulation.
This paper focuses on enhancements to Subset Simulation (SS), proposed by Au and Beck, which provides an efficient algorithm based on MCMC (Markov chain Monte Carlo) simulation for computing small failure probabilities for general high-dimensional reliability problems.
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