In this paper we use a modified constitutive law in a hereditary integral form to analyze the response of an isotropic non-uniform linear viscoelastic Timoshenko beam. A mixed method framework is used to provide stability and semi-discrete error estimates that do not deteriorate as the thickness parameter becomes small. Numerical experiments for both quasi-static and transient cases are presented.

中文翻译：

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非均匀线性粘弹性 Timoshenko 梁的无锁定有限元公式

在本文中，我们使用遗传积分形式的修正本构定律来分析各向同性非均匀线性粘弹性 Timoshenko 梁的响应。混合方法框架用于提供稳定性和半离散误差估计，这些估计不会随着厚度参数变小而恶化。介绍了准静态和瞬态情况的数值实验。