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Vibrations of a beam-mass systems using artificial neural networks

✍ Scribed by Bekir Karlik; Erdog ̆an Özkaya; Serkan Aydin; Mehmet Pakdemirli

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
480 KB
Volume
69
Category
Article
ISSN
0045-7949

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✦ Synopsis

The nonlinear vibrations of an Euler±Bernoulli beam with a concentrated mass attached to it are investigated. Five dierent sets of boundary conditions are considered. The transcendental equations yielding the exact values of natural frequencies are presented. Using the Newton±Raphson method, natural frequencies are calculated for dierent boundary conditions, mass ratios and mass locations. The corresponding nonlinear correction coecients are also calculated for the fundamental mode. The calculated natural frequencies and nonlinear corrections are used in training a multi-layer, feed-forward, backpropagation arti®cial neural network (ANN) algorithm. The algorithm produces results within 0.5 and 1.5% error limits for linear and nonlinear cases, respectively. By employing the ANN algorithm, computational time is drastically reduced compared with the conventional numerical techniques.

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