Browsing by Subject "Euler-Bernoulli beams"

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    Vibrations of a stretched beam with non-ideal boundary conditions
    (Association for Scientific Research, 2001) Pakdemirli M.; Boyaci H.
    A simply supported Euler-Bernoulli beam with immovable end conditions is considered. The concept of non-ideal boundary conditions is applied to the beam problem. In accordance, the boundaries are assumed to allow small deflections. Approximate analytical solution of the problem is found using the method of multiple scales, a perturbation technique.
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    Infinite mode analysis and truncation to resonant modes of axially accelerated beam vibrations
    (Academic Press, 2008) Pakdemirli M.; Öz H.R.
    The transverse vibrations of simply supported axially moving Euler-Bernoulli beams are investigated. The beam has a time-varying axial velocity with viscous damping. Traveling beam eigenfunctions with infinite number of modes are considered. Approximate analytical solutions are sought using the method of Multiple Scales, a perturbation technique. A detailed analysis of the resonances in which upto four modes of vibration involved are performed. Stability analysis is treated for each type of resonance. Approximate stability borders are given for the resonances involving only two modes. For higher number of modes involved in a resonance, sample numerical examples are presented for stabilities. © 2007 Elsevier Ltd. All rights reserved.