In this article, we investigate a one-dimensional thermoelastic laminated beam system with viscoelastic dissipation on the effective rotation angle and through heat conduction in the interfacial slip equations. Under general conditions on the relaxation function and the relationship between the coefficients of the wave propagation speed of the first two equations, we show that the solution energy has an explicit and general decay rate from which the exponential and polynomial stability are just particular cases. Moreover, we establish a weaker decay result in the case of non-equal wave of speed propagation and give some examples to illustrate our results. This new result improves substantially many other results in the literature.

中文翻译：

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热弹性层合梁的稳定率：等速传播和非等速传播的情况

在本文中，我们研究了一维热弹性叠层梁系统，该系统在界面滑移方程中具有有效旋转角和通过导热的粘弹性耗散。在一般条件下，关于驰豫函数和前两个方程的波传播速度系数之间的关系，我们证明了解能量具有明确的一般衰减率，从中可以看出指数和多项式稳定性只是特殊情况。此外，在速度传播不相等的情况下，我们建立了较弱的衰减结果，并给出了一些例子来说明我们的结果。这一新结果大大改善了文献中的许多其他结果。