Browsing by Subject "Euler-Bernoulli beam"

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    Vibrations of a beam-mass systems using artificial neural networks
    (Elsevier Ltd, 1998) Karlik B.; Özkaya E.; Aydin S.; Pakdemirli M.
    The nonlinear vibrations of an Euler-Bernoulli beam with a concentrated mass attached to it are investigated. Five different 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 different boundary conditions, mass ratios and mass locations. The corresponding nonlinear correction coefficients are also calculated for the fundamental mode. The calculated natural frequencies and nonlinear corrections are used in training a multi-layer, feed-forward, backpropagation artificial 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. © 1998 Published by Elsevier Science Ltd. All rights reserved.
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    Effect of non-ideal boundary conditions on the vibrations of continuous systems
    (Academic Press, 2002) Pakdemirli M.; Boyaci H.
    [No abstract available]
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    Non-linear vibrations of a simple-simple beam with a non-ideal support in between
    (Academic Press, 2003) Pakdemirli M.; Boyaci H.
    A simply supported Euler-Bernoulli beam with an intermediate support is considered. Non-linear terms due to immovable end conditions leading to stretching of the beam are included in the equations of motion. The concept of non-ideal boundary conditions is applied to the beam problem. In accordance, the intermediate support is assumed to allow small deflections. An approximate analytical solution of the problem is found using the method of multiple scales, a perturbation technique. Ideal and non-ideal frequencies as well as frequency-response curves are contrasted.