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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. Raghavan and C. E. S. Cesnik, “Review of Guided-Wave Structural Health Monitoring,” Stock Vibr. Digest 39(2), 91–114 (2007).
R. Grimberg, D. Premel, A. Savin, et al., “Eddy Current Holography Evaluation of Delamination in Carbon-Epoxy Composites,” Insight 43(4), 260–264 (2001).
X. P. V. Maldague, Nondestructive Evaluation of Materials by Infrared Thermography(Springer, London, 2011).
I. N. Ermolov, N. P. Aleshin, and A. I. Potapov, Acoustic Testing Methods (Vysshaya Shkola, Moscow, 1991) [in Russian].
D. Chikhunov, “Methods and Devices for Nondestructive Testing of Physical Properties of Concretes,” Stroit. Inzhener., No. 3, 55–59 (2005).
State Standard (GOST) 1853–79. Nondestructive Testing. Classification of Types and Methods (Izd-vo Standartov, Moscow, 1987) [in Russian].
S. K. Verma, S. S. Bhadauria, and S. Akhtar, “Review of Nondestructive Testing Methods for Condition Monitoring of Concrete Structures,” J. Construct. Engng, No. 4, 834572 (2013).
T. Stepinski, T. Uhk, and W. Staszewski, Advanced Structural Damage Detection: From Theory to Engineering Applications (Wiley, New York, 2013).
M. Cao, Q. Ren, and P. Qiao, “Nondestructive Assessment of Reinforced Concrete Structures Based on Fractal Damage Characteristic Factors,” ASCE. J. EngngMech. 132(9), 924–931 (2006).
D. Adams and C. Farrar, “Classifying Linear and Nonlinear Structural Damage Using Frequency Domain ARX Models,” Struct. Health Monitor. 1(2), 185–201 (2002).
S. Doebling, C. Farrar, M. Prime, and D. Shevitz, Damage Identification and Health Monitoring of Structures and Mechanical Systems from Changes in Their Vibration Characteristics: A Literature Review (Los Alamos National Laboratory, 1996).
W. Fan and P. Qiao, “Vibration-Based Damage Identification Methods: A Review and Comparative Study,” Struct. Health Monitor. 10(1), 83–111 (2011).
L. Wang and T. H. T. Chan, “Review of Vibration-Based Damage Detection and Condition Assessment of Bridge Structures Using Structural Health Monitoring,” in Proc. 2nd. Infrastructure Theme Postgraduate Conf. (Queensland Univ. Technology, 2009).
O. S. Salawu, “Detection of Structural Damage through Changes in Frequency: A Review,” Engng Struct. 19(9), 718–723 (1997).
W.M. West, “Illustration of theUse of Modal Assurance Criterion to Detect Structural Changes in an Orbiter Test Specimen,” in Proc. Air Force Conf. Aircraft Structural Integrity (Los Angeles, 1984), pp. 1–6.
A. K. Pandey, M. Biswas, and M. M. Sammam, “Damage Detection from Changes in Curvature Mode Shapes,” J. Sound Vibrat. 145(2), 321–332 (1991).
N. Stubbs and J. T. Kim, “Damage Detection in Offshore Jacket Structures from Limited Modal Information,” Int. J. Offshore Polar Engng 5(1), 58–66 (1995).
A. E. Aktan, K. L. Lee, C. Chuntavan, and T. Alsel, “Modal Testing for Structural Identification and Condition Assessment of Constructed Facilities,” in Proc. 12th Int. Modal Analysis Conf. (1994), pp. 462–468.
A. I. Lurie, The Theory of Elasticity (Nauka, Moscow, 1970) [in Russian].
P. Cawley and R. D. Adams, “The Location of Defects in Structure from Measurements of Natural Frequencies,” J. Strain Anal. 14(2), 49–57 (1979).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.A. Bykov, V.P. Matveenko, G.S. Serovaev, I.N. Shardakov, A.P. Shestakov, 2015, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2015, No. 2, pp. 60–72.
About this article
Cite this article
Bykov, A.A., Matveenko, B.P., Serovaev, G.S. et al. Mathematical modeling of vibration processes in reinforced concrete structures for setting up crack initiation monitoring. Mech. Solids 50, 160–170 (2015). https://doi.org/10.3103/S0025654415020053
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S0025654415020053