Application of nonlinear resonances for the diagnostics of closing cracks in rodlike elements |
| |
| Authors: | A P Bovsunovskii O A Bovsunovskii |
| |
| Affiliation: | (1) Mathematical Biosciences Institute, The Ohio State University, Jennings Hall, Columbus, Ohio 43210, USA;(2) Centre for Cell Imaging, School of Biological Sciences, Bioscience Research Building, Crown Street, Liverpool, L69 7ZB, UK;(3) School of Chemistry and The Manchester Interdisciplinary Biocentre, University of Manchester, 131 Princess Street, Manchester, M1 7DN, UK;(4) School of Mathematics, Alan Turing Building, University of Manchester, Manchester, M13 9PL, UK |
| |
| Abstract: | The vibrations of elastic bodies with closing cracks are essentially nonlinear. As a specific feature of these vibrations,
one can mention the manifestation of so-called nonlinear effects, e.g., nonlinear (i.e., sub- and superharmonic) resonances
and the nonlinearity of vibrations for these resonances. The proposed method for the evaluation of the parameters of cracks
(their sizes and location) is based on the analysis of the nonlinearity of vibrations in the neighborhood of a superharmonic
resonance of order 2/1 and/or a subharmonic resonance of order 1/2 in the case of variation of the site of application of
the driving force because, as follows from the results of numerical and experimental investigations, the level of nonlinearity
of the vibrations of rods with closing cracks for nonlinear resonances depends not only on the parameters of the crack but
also on the site of application of the driving forces. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
