Abstract
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.
Highlights
Reliability is a property of objects to keep in time ability to performance of the required functions in the set of specified modes and conditions, maintenance of use, storage and transportation [1]
Traditional methods of reliability analysis are difficult to apply for complex systems consisting of huge number of elements
This paper describes a new method for assessing the reliability of mechanical systems, developed on the basis of method reliability analysis using graph theory and Boolean function
Summary
Reliability is a property of objects to keep in time ability to performance of the required functions in the set of specified modes and conditions, maintenance of use, storage and transportation [1]. The mechanical system is a holistic set of the interconnected elements separated from the environment. Systems are simple if they can be presented as the chain of sequentially or parallel connected elements. Complex systems are characterized by a combined structure, when the subsystem (and its reliability) can be considered separately from basic system [1, 3]. It’s used if it is possible to split the complex system into subsystems, for each of which the probability of success or failure can be defined.
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