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Strength of Materials
Erschienen in: Strength of Materials 3/2012

01.05.2012

Approximate determination of vibrodiagnostic parameter of nonlinearity for an elastic body due to the presence of a breathing crack at a subharmonic resonance

verfasst von: V. V. Matveev, O. E. Boginich

Erschienen in: Strength of Materials | Ausgabe 3/2012

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Abstract

The reliability of one of the simplest methods for calculating vibration parameters in the region of subharmonic resonance for an elastic body with a breathing crack, which is modeled by a single-degree-of-freedom system with a bilinear asymmetric characteristic of the restoring force is assessed. The method is based on the proposition that in a nonlinear system the subharmonic vibrations exist alongside with the fundamental forced ones and are the free vibrations maintained by a driving force.
Vorheriger Artikel An approach to predicting the limiting state of reactor pressure vessel metal on the basis of the mechanical stability concept
Nächster Artikel Topical problems in ensuring safe operation of gas pipelines in the far north environment

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Literatur
1.
M. Krawczuk and W. Ostachowicz, “Damage indicators for diagnostic of fatigue cracks in structures by vibration measurements – a survey,” Mech. Teoret. Stosow., 34, No. 2, 307–326 (1996).
2.
A. D. Dimorogonas, “Vibration of cracked structures: a state of the art review,” Eng. Fract. Mech., 55, 831–857 (1996).CrossRef
3.
O. S. Salawu, “Detection of structural damage through changes in frequency: a review,” Eng. Struct., 19, 718–723 (1997).CrossRef
4.
T. J. Kim and N. Stubbs, “Improved damage identification method based on modal information,” J. Sound Vibr., 252, 223–238 (2002).CrossRef
5.
J. Lee, “Identification of multiple cracks in a beam using natural frequencies,” J. Sound Vibr., 320, No. 3, 482– 490 (2009).CrossRef
6.
E. Douka, S. Loutridis, and A. Trochidis, “Crack identification in beams using wavelet analysis,” Int. J. Solids Struct., 40, 3557–3569 (2003).CrossRef
7.
T. J. Kim, Y. S. Ryu, H. M. Cho, and N. Stubbs, “Damage identification in beam-type structures; frequency-based method vs mode shape-based method,” Eng. Struct., 25, 57–67 (2003).CrossRef
8.
S. L. Tsyfanskii, M. A. Magone, and V. M. Ozhiganov, “The use of nonlinear effects for crack detection in rod-type structural elements,” Defektoskopiya, No. 3, 77–82 (1985).
9.
S. L. Tsyfansky and V. I. Beresnevich, “Detection of fatigue cracks in flexible geometrically non-linear bars by vibration monitoring,” J. Sound Vibr., 213, No. 1, 159–168 (1998).CrossRef
10.
S. L. Tsyfansky and V. I. Beresnevich, “Non-linear vibration method for detection of fatigue cracks in aircraft wings,” J. Sound Vibr., 236, No. 1, 49–60 (2000).CrossRef
11.
N. P. Plakhtienko and S. A. Yasinskii, “Resonance of second order in vibrations of a beam containing a transverse crack,” Strength Mater., 27, No. 3, 146–152 (1995).CrossRef
12.
N. P. Plakhtienko, “Second-order resonance of a plate with long defects of integrity,” Strength Mater., 33, No. 1, 66–73 (2001).CrossRef
13.
R. Ruotolo, C. Surace, P. Crespo, and D. Storer, “Harmonic analysis of the vibrations of cantilevered beam with closing crack,” Comp. Struct., 61, No. 6, 1057–1074 (1996).CrossRef
14.
A. P. Bovsunovskii, C. Surace, and O. A. Bovsunovskii, “The effect of damping and force application point on the non-linear dynamic behavior of a cracked beam at sub-and superresonance vibrations,” Strength Mater., 38, No. 5, 492–497 (2006).CrossRef
15.
A. P. Bovsunovskii and O. A. Bovsunovskii, “Application of nonlinear resonances for the diagnostics of closing cracks in rodlike elements,” Strength Mater., 42, No. 3, 331–343 (2010).CrossRef
16.
V. V. Matveev, O. E. Boginich, and A. P. Yakovlev, “Approximate analytical method for determining the vibration-diagnostic parameter indicating the presence of a crack in a distributed-parameter elastic system at super-and subharmonic resonances,” Strength Mater., 42, No. 5, 528–543 (2010).CrossRef
17.
U. Andreaus and P. Baragatti, “Cracked beam identification by numerically analysing the nonlinear behaviour of the harmonically forced response,” J. Sound Vibr., 330, No. 4, 721–742 (2011).CrossRef
18.
O. A. Bovsunovskii, “A finite-element model for the study of vibration of a beam with a closing crack,” Strength Mater., 40, No. 5, 584–589 (2008).CrossRef
19.
V. A. Karasev and A. B. Roitman, Final Adjustments in Machinery in Operation. Vibrodiagnostic Methods [in Russian], Mashinostroenie, Moscow (1986).
20.
N. P. Plakhtienko, “Diagnostics of piecewise-constant stiffness at nonlinear resonances,” Prikl. Mekh., 27, No. 10, 112–120 (1991).
21.
C. W. Wong, W. S. Zhang, and S. L. Lau, “Periodic forced vibration of unsymmetrical piecewise-linear systems by incremental harmonic balance method,” J. Sound Vibr., 149, No. 1, 91–105 (1991).CrossRef
22.
V. V. Matveev, “Efficiency of the method of spectral vibrodiagnostics for fatigue damage of structural elements. Part 1. Longitudinal vibrations, analytic solution,” Strength Mater., 29, No. 6, 561–572 (1997).CrossRef
23.
A. Rivola and P. R. White, “Bispectral analysis of the bilinear oscillator with application to the detection of fatigue cracks,” J. Sound Vibr., 216, No. 5, 889–910 (1998).CrossRef
24.
A. B. Roitman, A. A. Pylov, and N. B. Aleksandrova, “Longitudinal vibrations of a cross-cracked cantilever beam. Part 1. Small vibrations,” Strength Mater., 31, No. 2, 120–129 (1999).CrossRef
25.
V. V. Matveev and O. E. Boginich, “Approximate analytical determination of vibrodiagnostic parameters of the presence of a crack in an elastic body under superharmonic resonance,” Strength Mater., 42, No. 4, 363–373 (2010).CrossRef
26.
V. V. Matveev and O. A. Bovsunovskii, “Approximate analytical determination of vibrodiagnostic parameters of a cracked elastic body under subharmonic resonance. Part 2. Strong resonance,” Strength Mater., 40, No. 3, 283–291 (2008).CrossRef
27.
B. I. Kryukov, Forced Vibrations of Essentially Nonlinear Systems [in Russian], Mashinostroenie, Moscow (1984).
28.
A. B. Roitman, N. B. Aleksandrova, and T. A. Khristenko, “Vibration diagnostics of breathing cracks in products,” Tekhn. Diagn. Nerazr. Kontr., No. 1, 58–67 (2000).
29.
V. L. Biderman, Theory of Mechanical Vibrations. Manual for Technical Colleges [in Russian], Vysshaya Shkola, Moscow (1985).
30.
V. V. Matveev and A. P. Bovsunovskii, “Efficiency of the method of spectral vibrodiagnostics for fatigue damage of structural elements. Part 3. Analytical and numerical determination of natural frequencies of longitudinal and bending vibrations of beams with transverse cracks. Solution,” Strength Mater., 31, No. 4, 341–350 (1999).CrossRef
Metadaten
Titel
Approximate determination of vibrodiagnostic parameter of nonlinearity for an elastic body due to the presence of a breathing crack at a subharmonic resonance
verfasst von
V. V. Matveev
O. E. Boginich
Publikationsdatum
01.05.2012
Verlag
Springer US
Erschienen in
Strength of Materials / Ausgabe 3/2012
Print ISSN: 0039-2316
Elektronische ISSN: 1573-9325
DOI
https://doi.org/10.1007/s11223-012-9378-1

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