Page 551 - Fluid-Structure Interactions Slender Structure and Axial Flow (Volume 1)

THE FRACTAL DIMENSION FROM THE EXPERIMENTAL PIPE-VIBRATION 52 1

estimate the phase space dimension of the required model. The KL decomposition method
addresses the problem of dimensionality from the perspective of ‘modes’ or ‘shape
functions’ needed to describe a given motion (Lokve 1963) - specifically by obtaining
shape functions, or ‘KL modes’, from experimental data. This method is more generally
applicable than conventional modal analysis, since it does not require that the system be
linear. The interested reader is referred to Cusumano et al. (1994) and Cusumano (1996).