General decay of the Euler-Bernoulli beam fixed into a moving base

Amirouche Berkani, Lamia Seghour, Athmane Abdallaoui

Abstract


In this paper, we aim to discuss the stability of a viscoelastic Euler Bernoulli beam that is fixed to a base in a translational motion at one end and to a tip mass at its free end. The beam is supposed to be influenced by an external unknown disturbance which may destabilize the system. Under some assumptions related to the unknown disturbance together with a suitable selection of the external force applied to the base in motion, we should establish the uniform stability of the system for a large class of relaxation functions using the method of the multiplier technique. In fact, such procedure and other simulations have ameliorated earlier work where the disturbance on the beam was ignored.

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DOI: https://doi.org/10.52846/ami.v53i1.2130