On a deformation sign for identifying defects on the basis of the analysis of the forms of the natural vibrations of a cantilever with a notch
Source abstract
Abstract
A method for determining the location and depth of a notch has been developed on the basis of the results of a finite-element analysis of natural vibration modes of a cantilever with a notch. A phenomenological relationship is obtained that relates the degree of cantilever damage to the characteristic features of its natural vibration modes. A new diagnostic sign of the degree of cantilever damage is proposed, which is the angle between the tangents on the plot of the natural form of the fourth vibration mode. An approximate equation is deduced that describes the dependence of the angle between the tangents at the “break” point of the shape of the fourth vibration mode on the depth of a notch in the cantilever.
Source: openalex_inverted_index · Quality: baseline
Research context
OpenAlex topics: Structural Health Monitoring Techniques · Thermography and Photoacoustic Techniques · Non-Destructive Testing Techniques
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (7)
Show source-provided references
1. Giraldo, D.F., A structural health monitoring framework for civil structures, Wash. Univer. Dissert. Depart. of Civil Engineering, Saint Jouris, Missouri, 2006.
2. Del. Grosso, A. and Lanato, F., A critical review of recent advances in monitoring data analysis and interpretation for civil structures, Proc. of Fourth European Conf. of Struct. Control, St. Petersburg, 2008, vol. 1, pp. 320–330.
3. Akopyan, V., Soloviev, A., and Cherpakov, A., Parameter estimation of destruction state of the steel frame constructions using finite element and vibrodiagnostic methods, in coll.: Mechanical Vibrations: Types, Testing, and Analysis, Ch. 7, Galloway, A., Ed., New York: NovaSciencePublishers, 2011, pp. 147–161.
4. Cherpakov, A.V., Akopyan, V.A., Solov’ev, A.N., and Shevtsov, S.N., Identification of parameters of defects in an elastic rod using the finite-element and experimental analysis of bending vibration modes, Vestnik DGTU, 2011, vol. 11, no. 3(54), pp. 312–318.
5. Shevtsov, S.N., Akopyan, V.A., and Rozhkov, E.V., Solution of the problem of identification of defects in an elastic rod on the basis of the Timoshenko beam model, Russ. J. Nondestr. Test., 2011, vol. 47, no. 7, pp. 490–500.10.1134/S1061830911070072 ↗
6. Khiem, N.T. and Lien, T.V., Dynamic stiffness matrix method in forced vibration analysis of multiple-cracked beam, J. Sound Vibrat., 2002, vol. 254, no. (3), pp. 541–555.10.1006/jsvi.2001.4109 ↗
7. Douka, E., Bamnios, G., and Trochidis, F., A method for determining the location and depth of cracks in double-cracked beams, Appl. Acoust., 2004, vol. 65, pp. 997–1008.10.1016/j.apacoust.2004.05.002 ↗