Non-linear vibrations of a beam-mass system with both ends clamped
| dc.contributor.author | Özkaya E. | |
| dc.contributor.author | Pakdemirli M. | |
| dc.date.accessioned | 2025-04-10T11:18:26Z | |
| dc.date.available | 2025-04-10T11:18:26Z | |
| dc.date.issued | 1999 | |
| dc.description.abstract | 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. | |
| dc.identifier.DOI-ID | 10.1006/jsvi.1998.2003 | |
| dc.identifier.uri | http://hdl.handle.net/20.500.14701/53473 | |
| dc.publisher | Academic Press | |
| dc.title | Non-linear vibrations of a beam-mass system with both ends clamped | |
| dc.type | Article |