Abstract
At the moment, not enough attention is paid to different aspects of nonlinear dynamics for heavy structures. In this article we attempt to create a mathematical model for finding a frame (field) with predictable dynamic pattern of load-carrying capability for a heavy structure based оn the parameters of its reliable (failure-free, low-risk) operation. It is difficult to find a solution for this problem now but the following algorithm can be applied. Small dimension projection is first obtained for orthonormal vectors determining the structural load-carrying capability. Then we use available methods to find a field where any relationship (functional, logical) can be obtained between the rules (wild cards) and the load-carrying capability displayed by a heavy structure. This article carries on the cycle of activities on structural risk analysis involving heavy structures. Numerical and calculated data are based on previous studies. The analysis is performed on a metallurgical overhead crane. The obtained findings are used for adopting various engineering solutions at different stages of heavy structure operation.
Highlights
Applicability of risk analysis for heavy structures was demonstrated by the authors in their previous studies [1, 2]
Due to the increased industrial safety requirements, the performance of risk analysis for heavy technological and auxiliary equipment based on the above-mentioned experience, together with quantitative and qualitative evaluation of performance that is critical from the perspective of technology and safe operation of facilities, are important in steelmaking industry
The heavy structure representing the target of research in this article is a metallurgical overhead crane
Summary
Applicability of risk analysis for heavy structures was demonstrated by the authors in their previous studies [1, 2]. Based on [1,2,3,4,5,6,7,8,9,10,11,12,13] and operational documentation we can assume that the above three vectors are the main ones, which determine the dynamics of the structural load-carrying capability, reliability P and risk of integral failure R for the entire structure It was demonstrated in the previous studies [1, 2] that the function of probability density for the number of cycles and the effective stresses and strains of structures operating in heavy-loaded conditions is subject to the normal law of distribution. The load-carrying capability of a heavy structure can be controlled by establishing the level of maintenance or continuous remote monitoring
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