Research Information System
Journal of Sound and Vibration, vol.221, no.3, pp.491-503, 1999 (SCI-Expanded, Scopus)
A clamped-clamped beam-mass system is considered. The non-linear equations of motion including stretching due to immovable end conditions were derived previously [1] (Özkaya et al. 1997 Journal of Sound and Vibration 199, 679-696). In addition to five different end conditions considered in reference [1], the case of clamped-clamped edge conditions is treated in this work. Exact solutions for the mode shapes and frequencies are given for the linear part of the problem. For the non-linear problem, approximate solutions using perturbations are searched. Alternatively, the natural frequencies and non-linear corrections are used in training a multi-layer, feed-forward, back propagation artificial neural network (ANN) algorithm. Using the algorithm, the numerical calculations are drastically reduced for obtaining the natural frequencies and non-linear corrections corresponding to different input parameters. © 1999 Academic Press.