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Control of an Euler-Bernoulli beam with a nonlinear tension and an end-mass
In this article, we intend to study the vibrations of a nonlinear Euler-Bernoulli beam without internal damping, fixed at one end and a mass attached at the other end. By applying a suitable control at the free end, we can quickly dampen these vibrations. In fact, we give the result of the exponential stability of the solutions, and we base our method on the multiplier technique.
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