| Issue |
MATEC Web Conf.
Volume 346, 2021
International Conference on Modern Trends in Manufacturing Technologies and Equipment (ICMTMTE 2021)
|
|
|---|---|---|
| Article Number | 03037 | |
| Number of page(s) | 5 | |
| Section | Mechanical Engineering | |
| DOI | https://doi.org/10.1051/matecconf/202134603037 | |
| Published online | 26 October 2021 | |
Nonlinear Dynamics of Heavy Structures
1 Department of Applied Mathematics and Informatics, Nosov Magnitogorsk State Technical University, Magnitogorsk, Russia
2 Department of Mathematics, Bar-Ilan University, Ramat Gan, Israel
* Corresponding author: yurij.izvekov@mail.ru
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.
© The Authors, published by EDP Sciences, 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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