Decay property for a novel partially dissipative viscoelastic beam system on the real line
Decay property for a novel partially dissipative viscoelastic beam system on the real line
复制标题
新型部分耗散粘弹性梁系统在实线上的衰减特性
DOI：
10.1142/s0219891622500114
复制
发表时间：
2022
影响因子：
0.7
通讯作者：
M. A. Jorge Silva
中科院分区：
文献类型：
--
作者：
N. Mori;M. A. Jorge Silva
我们在这里讨论了(一维)实线上的粘弹性Timoshenko模型，该模型的记忆阻尼力与剪力耦合。我们的主要结果涉及在所谓的等波速假设下以及在没有等波速假设的情况下系统的完全衰变结构。这是对剪力具有记忆型阻尼器的部分耗散梁系统的这种类型的第一个结果。我们的方法是基于扩展的结构条件，如所谓的SK条件。此外，我们还利用谱分析方法对系统的耗散结构进行了刻画，证实了我们的衰变结构是最优的。
We address here a viscoelastic Timoshenko model on the (one-dimensional) real line with memory damping coupled on a shear force. Our main results concern a complete decay structure of the system under the so-calledequal wave speedsassumption, as well as without this condition. This is the first result of this type for partially dissipative beam systems with memory-type damping on the shear force. Our method is based on expanded structural conditions such as the so-called SK condition. In addition, we give a characterization of the dissipative structure of the system by using a spectral analysis method, which confirms that our decay structure is optimal.