The crack detection problem

The problem of using the modal curvature for crack detection is discussed in this paper based on an exact expression of mode shape and its curvature. Using the obtained herein exact expression for the mode shape and its curvature, it is demonstrated that the mode shape curvature is really more sensitive to crack than mode shape itself. Nevertheless, crack-induced change in the approximate curvature calculated from the exact mode shape by the central finite difference technique (Laplacian) is much greater in comparison with both the mode shape and curvature.

10p nguaconbaynhay11 07-04-2021 19 2   Download

In this paper, efforts are made to develop suitable methods that can serve as the basis to detect crack location and to crack size from measured axial vibration data. This method is used to address the inverse problem of assessing the crack location and crack size in various beam structure.

8p tohitohi 19-05-2020 12 0   Download

Model of crack was studied by many authors. Adams R. D. and Cawley P. in 1978 have proposed an axial spring model [1] to investigate the problem of location of crack in a bar using natural frequencies and mode shape.

10p chikychiky 26-10-2018 30 0   Download

Rayleigh’s quotient for Euler-Bernoulli multiple cracked beam with different boundary conditions has been derived from the governed equation of free vibration. An appropriate choosing of approximate shape function in terms of mode shape of uncracked beam and specific functions satisfying conditions at cracks and boundaries leads to an explicit expression of natural frequencies through crack parameters that can simplify not only the analysis of natural frequencies of cracked beam but also the crack detection problem.

12p thienthanquydu 17-10-2018 29 0   Download