In this article, we study a rotating cantilevered Timoshenko beam with a tip mass at its free end coupled with a heat equation of hyperbolic type. The beam is subject to some undesirables vibrations. Under the thermal effect we shall attenuate these vibrations. In fact, we establish the exponential stability of the system under the control torque applied on the hub. The proofs is obtained by using the multiplier technique.

中文翻译：

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热粘弹性阻尼下旋转铁木辛柯梁的指数稳定性

在这篇文章中，我们研究了一个旋转悬臂铁木辛科梁，其自由端有一个尖端质量，并结合了一个双曲线型热方程。梁会受到一些不希望的振动。在热效应下，我们将减弱这些振动。事实上，我们在轮毂上施加的控制扭矩下建立了系统的指数稳定性。证明是通过使用乘法器技术获得的。