Mechanical system reliability analysis using reliability matrix method

21st International Scientific Conference on Advanced in Civil Engineering "Construction - The Formation of Living Environment"

土木建筑工程

Burukhina, Olga^1 ; Bushinskaya, Anna^1,2 ; Maltceva, Irina^1 ; Timashev, Svyatoslav^1,2

Ural Federal University Named, First President of Russia B N Yeltsin, Mira st. 17, Yekaterinburg

620002, Russia^1

Science and Engineering Centre Reliability and Safety of Large System of Ural Branch, Russian Academy of Science, Studencheskaya st. 54A, Yekaterinburg

620049, Russia^2

关键词: Characteristic matrices;    Complex mechanical system;    Connection matrices;    Method of calculation;    Probability of failure;    Probability of success;    Reliability assessments;    Reliability block diagrams;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/365/4/042067/pdf
DOI  :  10.1088/1757-899X/365/4/042067

学科分类：土木及结构工程学

来源: IOP

【 摘 要 】

Mechanical systems, including building ones, consist of a huge number of elements. Thus, traditional methods of reliability block diagram and logical schemes, oriented to small-element systems, aren't appropriate for reliability analysis. In this paper a fundamentally new method for reliability assessment of mechanical systems is considered. It's based on the reliability matrix. The reliability matrix is the difference between the characteristic matrix and the connection matrix, which are formed from the structural scheme. Probability of failure or probability of success of the system is equal to determinant of the reliability matrix. The use of the matrix method proposed by the authors in conjunction with computer software has more perspective, it allows to work with complex mechanical systems, significantly reduces the time of analysis and decrease the risk of errors. This method of calculation is optimized for inclusion in Civil Engineering CAD software.