A new surface fractal dimension for displacement mode shape-based damage identification of plate-type structures

The Fractal Geometry of Nature

Benoît B. Mandelbrot, Paul Longley · 1982 · 5.5K citations

Natural Sciences, Mathematics, Physics +7

Damage detection from changes in curvature mode shapes

Ashok Kumar Pandey, M. Biswas, Mahmod Samman · Journal of Sound and Vibration · 1991 · 2.1K citations

Computing, Computer Science, Materials Science +14

An efficient differential box-counting approach to compute fractal dimension of image

N. Sarkar, B.B. Chaudhuri · IEEE Transactions on Systems Man and Cybernetics · 1994 · 875 citations

Computing, Computer Science, Mathematics +16

Fractals and the analysis of waveforms

Michael Katz · Computers in Biology and Medicine · 1988 · 823 citations

Natural Sciences, Mathematics, Physics +9

Damage identification in beam-type structures: frequency-based method vs mode-shape-based method

Jeong‐Tae Kim, Yeon-Sun Ryu, Hyun-Man Cho et al. · Engineering Structures · 2002 · 655 citations

Engineering, Civil Engineering, Structural Analysis +16