Numerical method of slope failure probability based on Bishop model

Autor:	Zhao Ming-hua, Su Yong-hua (苏永华), Zhang Yue-ying (张月英)
Rok vydání:	2008
Předmět:	Implicit function Series (mathematics) Mechanical Engineering Numerical analysis Derivative Function (mathematics) symbols.namesake Mechanics of Materials Approximation error Calculus Taylor series symbols Partial derivative Applied mathematics General Materials Science Mathematics
Zdroj:	Journal of Central South University of Technology. 15:100-105
ISSN:	1993-0666 1005-9784
DOI:	10.1007/s11771-008-0020-0
Popis:	Based on Bishop’s model and by applying the first and second order mean deviations method, an approximative solution method for the first and second order partial derivatives of functional function was deduced according to numerical analysis theory. After complicated multi-independent variables implicit functional function was simplified to be a single independent variable implicit function and rule of calculating derivative for composite function was combined with principle of the mean deviations method, an approximative solution format of implicit functional function was established through Taylor expansion series and iterative solution approach of reliability degree index was given synchronously. An engineering example was analyzed by the method. The result shows its absolute error is only 0.78% as compared with accurate solution.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::84e802eadc651636c9b24d30b8470474 https://doi.org/10.1007/s11771-008-0020-0 Zobrazit plný text záznamu Full text from SpringerLink