The goal of this article is to study a thermoelastic Timoshenko system with viscoelastic law acting on the shear force and thermoelastic dissipation acting on the bending moment. We prove a general decay as well as an explicit decay estimate for solution energy, from which the exponential and polynomial decay results are only special cases. The result is obtained without imposing equal-wave-speed condition, this is achieved by considering the Neumann–Dirichlet–Neumann boundary conditions . This result is therefore of great interest compared to majority of results in the literature that often time impose the equal-wave-speed condition.

中文翻译：

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热弹性Timoshenko系统的新的一般和显式稳定性结果

本文的目的是研究热弹性的Timoshenko系统，其粘弹性定律作用于剪切力，而热弹性耗散作用于弯矩。我们证明了一般衰减以及对溶液能量的明确衰减估计，从中可以看出指数和多项式衰减结果只是特殊情况。在不施加等波速条件的情况下获得了结果，这是通过考虑Neumann–Dirichlet–Neumann边界条件而实现的。因此，与经常施加等波速条件的文献中的大多数结果相比，该结果引起了极大的兴趣。