The aim of the article is presentation of the testing methodology and results of examination the probabilistic model of the measurement process. The case study concerns the determination of the risk of an incorrect decision in the assessment of the compliance of products by measurement. Measurand is characterized by the generalized Rayleigh distribution. The model of the meas-urement process was tested in parallel mode by six risk...

Praca dotyczy probabilistycznej oceny stateczności zboczy. Omówiono sposób określania prawdopodobieństwa utraty stateczności przy wykorzystaniu metody momentów (ang. FOSM). Podejście takie zastosowano do analizy zsuwu konsekwentnego jednorodnego zbocza. Rozpatrzono wpływ zmienności statystycznej parametrów wytrzymałościowych na końcowe wyniki.

The objective of this paper is to present a variant of the point estimate method (PEM) to determine mean values and standard deviations of limit loads of engineering structures. This approach is illustrated by limit state analysis of a space truss, considering geometric and material imperfections. The calculations were performed for different random models, so the influence of random parameters on the limit load of the truss can...

The work presents testing methods of sensitivity and reliability of mechanical or structural systems. All computations concerned the case of Zigler column, a simple model of a compressed column involving two random variables only. A conclusion was drawn that the standard Monte Carlo method, its reduction variants and the response surface method allow to assess the sensitivity of structural response to the variation of random structural...