DefinePK

Abstract

In this paper, a mode shape curvature based damage detection algorithm for estimating damage location in a beam is presented. The computational modal analysis is used to obtain the natural frequencies and the mode shapes for both undamaged and damaged structure. The Laplacian difference equation is used to estimate the difference of the calculated mode shapes. Considering the limited number of possible measured points during the modal analysis, Akima’s interpolation is used. This is to estimate the mode shape displacements at the unmeasured positions which are a challenging problem for crack detection using mode shape data. The Gaussian wavelet for one-dimensional problem is used in this study which leads to a clear visualization of the position of the damaged structure.