MATEC Web Conf.
Volume 157, 2018Machine Modelling and Simulations 2017 (MMS 2017)
|Number of page(s)||9|
|Section||Theoretical and applied mathematics in engineering|
|Published online||14 March 2018|
Application of the vibration method for damage identification of a beam with a variable cross-sectional area
Czestochowa University of Technology, Faculty of Mechanical Engineering and Computer Science, Czestochowa, Poland
* Corresponding author: email@example.com
The subject of the paper is an application of the non-destructive vibration method for identifying the location of two cracks occurring in a beam. The vibration method is based on knowledge of a certain number of vibration frequencies of an undamaged element and the knowledge of the same number of vibration frequencies of an element with a defect. The analyzed beam, with a variable cross-sectional area, has been described according to the Bernoulli-Euler theory. To determine the values of free vibration frequencies the analytical solution, with the help of the Green’s function method, has been used.
Key words: Bernoulli-Euler beam / crack / Green’s function / identification / non-destructive method / vibration
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
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