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IssuesArchive of Issues2015-2pp.160-170

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A.A. Bykov, V.P. Matveenko, G.S. Serovaev, I.N. Shardakov, and A.P. Shestakov, "Mathematical Modeling of Vibration Processes in Reinforced Concrete Structures for Setting Up Crack Initiation Monitoring," Mech. Solids. 50 (2), 160-170 (2015)
Year 2015 Volume 50 Number 2 Pages 160-170
DOI 10.3103/S0025654415020053
Title Mathematical Modeling of Vibration Processes in Reinforced Concrete Structures for Setting Up Crack Initiation Monitoring
Author(s) A.A. Bykov (Perm National Research Polytechnic University, Komsomolsky pr. 29, Perm, 614990 Russia, violentharpy@yandex.ru)
V.P. Matveenko (Institute of Continuous Media Mechanics, Ural Branch of the Russian Academy of Sciences, ul. Akad. Koroleva 1, Perm, 614013 Russia, mvp@icmm.ru)
G.S. Serovaev (Institute of Continuous Media Mechanics, Ural Branch of the Russian Academy of Sciences, ul. Akad. Koroleva 1, Perm, 614013 Russia, serovaev@icmm.ru)
I.N. Shardakov (Institute of Continuous Media Mechanics, Ural Branch of the Russian Academy of Sciences, ul. Akad. Koroleva 1, Perm, 614013 Russia, shardakov@icmm.ru)
A.P. Shestakov (Institute of Continuous Media Mechanics, Ural Branch of the Russian Academy of Sciences, ul. Akad. Koroleva 1, Perm, 614013 Russia, shap@icmm.ru)
Abstract The contemporary construction industry is based on the use of reinforced concrete structures, but emergency situations resulting in fracture can arise in their exploitation. In a majority of cases, reinforced concrete fracture is realized as the process of crack formation and development. As a rule, the appearance of the first cracks does not lead to the complete loss of the carrying capacity but is a fracture precursor. One method for ensuring the safe operation of building structures is based on crack initiation monitoring. A vibration method for the monitoring of reinforced concrete structures is justified in this paper. An example of a reinforced concrete beam is used to consider all stages related to the analysis of the behavior of natural frequencies in the development of a crack-shaped defect and the use of the obtained numerical results for the vibration test method. The efficiency of the method is illustrated by the results of modeling of the physical part of the method related to the analysis of the natural frequency evolution as a response to the impact action in the crack development process.
Keywords mathematical modeling, reinforced concrete, natural frequencies, crack formation detection
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Received 02 December 2014
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