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Stabilization of a viscoelastic rotating Euler‐Bernoulli beam

Mathematical Methods in the Applied Sciences, 2018
In this paper, we consider a rotating Euler‐Bernoulli beam. The beam is made of a viscoelastic material, and it is subject to undesirable vibrations. Under a suitable control torque applied at the motor, we prove the arbitrary stabilization of the system for a large class of relaxation functions by using the multiplier method and some ideas introduced ...
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A Local/Nonlocal Elasticity Model for the Euler-Bernoulli Beam

Civil-Comp Proceedings, 2015
In this paper a local/nonlocal elasticity model is presented for the statics of the Euler-Bernoulli beam. An integral form of the local/nonlocal elastic constitutive equations for axial deformation and bending are considered with a particular choice of the attenuation function.
FAILLA, ISABELLA   +2 more
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Stabilization of Euler- Bernoulli Beam by A Boundary Control

Results in Mathematics, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Vibrations of Cracked Euler-Bernoulli Beams

2014
In this Chapter, the Haar wavelet method is applied for analysing bending and vibrations of elastic Euler-Bernoulli beams.
Ülo Lepik, Helle Hein
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The inverse problem for the Euler-Bernoulli beam

Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1986
Abstract It has long been known that two scaling factors and three spectra, corresponding to three different end-conditions, are required to determine the cross-sectional area A(x) and second moment of area I(x) of an Euler-Bernoulli beam.
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Viscoelastically supported Euler-Bernoulli beam

2001
A field of application for the convolution quadrature method are time dependent integral equations. Here, the integral equation for a transient excited viscoelastically supported Euler-Bernoulli beam will be deduced and solved with the convolution quadrature method. A direct evaluation in time domain is only possible without the viscoelastic foundation,
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Collocation approaches to the mathematical model of an Euler–Bernoulli beam vibrations

Mathematics and Computers in Simulation, 2022
Mehmet Sezer   +2 more
exaly  

Fractal Continuum Calculus of Functions on Euler-Bernoulli Beam

Fractal and Fractional, 2022
Andriy Kryvko   +2 more
exaly  

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