Abstract The Bresse system is a recognized mathematical model for vibrations of a circular arched beam that contains the class of Timoshenko beams when the arch’s curvature is zero. It turns out that the majority of mathematical analysis to Bresse systems are concerned with the asymptotic stability of linear homogeneous problems. Under this scenario, we consider a nonlinear Bresse system modeling arched beams with memory effects, in a nonlinear elastic foundation. Then we establish uniform decay rates of the energy under time-dependent external forces.

中文翻译：

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具有记忆的非自治半线性 Bresse 系统的均匀稳定性

摘要 Bresse 系统是一个公认的数学模型，用于在拱曲率为零时包含 Timoshenko 梁类的圆拱形梁的振动。事实证明，对 Bresse 系统的大多数数学分析都与线性齐次问题的渐近稳定性有关。在这种情况下，我们考虑在非线性弹性基础中模拟具有记忆效应的拱形梁的非线性 Bresse 系统。然后，我们在与时间相关的外力下建立能量的均匀衰减率。