In this paper, we analyze a linear problem describing the vibrations of a coupled suspension bridge. The single-span roadbed is modeled as an extensible thermoelastic beam of Timoshenko type. The main cable is modeled as an elastic string and is connected to the roadbed by a distributed system of elastic springs. For this linear model, we obtain the existence and uniqueness of solutions by using the semigroup theory. The exponential decay property is also proved. Then, through a variational formulation, the model is numerically analyzed and some numerical experiments are performed to verify the behavior of the numerical method.

中文翻译：

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热弹性 Timoshenko 梁模型的分析

在本文中，我们分析了一个描述耦合悬索桥振动的线性问题。单跨路基被建模为 Timoshenko 类型的可扩展热弹性梁。主缆被建模为一根弹性绳，并通过一个分布式弹性弹簧系统连接到路基。对于这个线性模型，我们利用半群理论得到解的存在唯一性。指数衰减性质也得到证明。然后，通过变分公式，对模型进行数值分析，并进行一些数值实验来验证数值方法的行为。