Diagnostics of a cavity in a prismatic beam
Source abstract
Abstract
A beam with a cross section in the form of a hollow rectangular box is considered. A method for calculation of the dimensions of a cavity in a beam by two natural bending frequencies that are taken from different spectra is proposed. These are the spectra of vibrations in two mutually perpendicular planes that are chosen in such a way that the neutral axis of the cross section is parallel to the sides in both cases. The dependence of the natural frequency on the cavity’s parameters is studied. It is proven that the frequency values of the beam under investigation and of an identical beam with a solid cross section do not coincide at any size of the cavity and the natural frequency values of the former beam are always higher than those of the latter one.
Source: openalex_inverted_index · Quality: baseline
Research context
OpenAlex topics: Engineering Diagnostics and Reliability · Engineering and Agricultural Innovations · Material Properties and Applications
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (12)
Show source-provided references
1. Akhtyamov, A.M. and Ayupova, A.R., Detection of a cavity in a rod using the negative mass method, Russ. J. Nondestr. Test., 2010, no. 5, pp. 336–341.
2. Akhtyamov, A.M. and Salyakhova, E.V., http://www.ejta.jrg. 2011, p. 7.
3. Akhtyamov, A.M., Teoriya identifikatsii kraevykh uslovii i ee prilozheniya (Theory of Identification of the Edge Conditions and its Applications), Moscow: Fizmatlit, 2009.
4. Bocharova, O.V., Vatul’yan, A.O., and Zharkov, R.S., Rekonstruktsiya polosti v uprugom sterzhne, Izv. Vuzov. Severo-Kavkazskogo Regiona. Seriya: Estestv. nauki, 2006, no. 2, pp. 28–32.
5. Vatul’yan, A.O. and Soluyanov, N.O., Identifikatsiya Polosti v uprugom sterzhne pri analize poperechnykh kolebanii. Prikl. Mekh. Tekhn. Fiz., 2008, vol. 49, no. 6, pp. 1015–1020.
6. Vatul’yan, A.O. and Soluyanov, N.O., Determining the location and dimensions of a cavity in an elastic rod, Russ. J. Nondestr. Test., 2005, no. 9, pp. 586–593.
7. Gladwell, G.M.L., Obratnye zadachi teorii kolebanii (Inverse Problems in the Theory of Oscillations), Moscow: Izhevsk.
8. Il’gamov, M.A., Diagnostika povrezhdenii vertikal’noi shtangi. Trudy Instituta mekhaniki UNTs RAN. Vyp. 5 (Damage Diagnostics in a Vertical Rod), Ufa: Gilem, 2007.
9. Il’gamov, M.A. and Khakimov, A.G., Diagnosis of damage of a cantilever beam with a notch, Russ. J. Nondestr. Test., 2009, no. 6, pp. 430–435.
10. Gladwell, G.M.L., On the scattering of waves in a non uniform euler bernoulli beam. Proc. Inst. Mech. Engrs. Mech. Science, 1991, no. 205, pp. 31–34.
11. Vibratsii v tekhnike. Spravochnik. V 6 t. (Red. sovet: V.N. Chelomei (pred.). T. 1. Kolebaniya lineinykh sistem (Vibrations in Engineering. Reference Book. 6 vols.(Chelomei, V.N., Ed.). Vol. 1 Oscillations of Linear Systems) Bolotin, V.V, Ed., Moscow: Mashinostroenie, 1978.
12. Ruditsyn, M.N., Artemov, P.Ya., and Lyuboshits, M.I., Spravochnoe posobie po soprotivleniyu materialov (Reference Book on Strength of Materials), Minsk: Vysheishaya shkola, 1970.