In this paper, we consider a beam model known as Shear beam model (no rotary inertia). We assure, based on behavior of the wave speeds, that the Shear beam model corresponds to a part of the classical Timoshenko beam model which is governed only by one wave speed. Unlike the classical dissipative Timoshenko type system with viscous damping acting on transverse displacement, we prove that the corresponding dissipative Shear beam model has an energy exponential decay regardless any relationship between coefficients of the system. This happens because such model has only one finite wave speed for all wave numbers.

中文翻译：

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阻尼剪力梁模型的能量衰减以及与经典Timoshenko系统有关的新事实

在本文中，我们考虑称为剪切梁模型（无旋转惯性）的梁模型。基于波速的行为，我们保证剪切梁模型对应于经典季莫申科梁模型的一部分，该模型仅受一个波速支配。与经典的耗散Timoshenko型系统具有粘性阻尼作用于横向位移不同，我们证明了相应的耗散剪切梁模型具有能量指数衰减，而与系统系数之间的任何关系无关。之所以会发生这种情况，是因为这样的模型对于所有波数都只有一个有限的波速。