Structural reliability and Monte Carlo simulation

Autor:	G. Harlow, P. J. Laumakis
Rok vydání:	2002
Předmět:	Hybrid Monte Carlo Mathematics (miscellaneous) Probability theory Mathematical model Computer science Applied Mathematics Monte Carlo method Probability distribution Applied mathematics Applied mechanics Reliability (statistics) Education Monte Carlo molecular modeling
Zdroj:	International Journal of Mathematical Education in Science and Technology. 33:377-387
ISSN:	1464-5211 0020-739X
DOI:	10.1080/00207390210125729
Popis:	Using elementary engineering mechanics, a simple boom structure is analysed and its reliability is assessed. It is assumed that four of the structural variables are random with a known joint probability distribution function. From the structural analysis, an explicit expression for failure is obtained. The reliability of the structure is computed analytically from first principles of probability theory. Additionally, it is shown that Monte-Carlo simulation can be implemented more readily with results that compare favourably to the theoretical calculations. Thus, the power and utility of Monte-Carlo simulation are demonstrated. Specifically, the boom is analysed for different probability distribution functions for the underlying components. The analytical and numerical analysis contained in this application are appropriate for any upper level undergraduate course in applied mathematics, scientific computation or engineering reliability where the Monte-Carlo method is being studied.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::556e97fd4c24d4afcca02508c29a82cf https://doi.org/10.1080/00207390210125729 Zobrazit plný text záznamu