This paper presents two sequential friction-spring damper configurations and develops numerical and analytical models, which describe the systems' behavior. The dampers rely on the non-smooth characteristics of dry friction to quench unwanted oscillations and only dissipate energy once a preset breakaway force of the friction element is exceeded. Since no additional control is required and the dissipation is only present within a given frequency range, this passive amplitude adaptive dissipation contributes to a higher energy efficiency. The dampers' equations of motion are derived and implemented in a numerical model to gain the first insights into the dampers' behavior. These equations of motion are analyzed via averaging methods in combination with a modal decoupling for nonlinear systems, which lead to the dampers' analytical models. The results from both models are compared and show reasonable agreement within the validity range of asymptotic methods. This work proposes two friction based amplitude adaptive dampers and offers a starting point for future experimental validation.

中文翻译：

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振幅自适应顺序摩擦弹簧阻尼器的研究

本文介绍了两种顺序摩擦弹簧阻尼器配置，并开发了描述系统行为的数值和分析模型。阻尼器依靠干摩擦的非光滑特性来抑制不需要的振荡，并且只有在摩擦元件的预设分离力超过时才会耗散能量。由于不需要额外的控制并且耗散仅出现在给定的频率范围内，因此这种被动幅度自适应耗散有助于提高能源效率。阻尼器的运动方程是在数值模型中导出和实施的，以获得对阻尼器行为的初步了解。这些运动方程通过平均方法结合非线性系统的模态解耦进行分析，这导致阻尼器的 分析模型。比较了两种模型的结果，并在渐近方法的有效性范围内显示出合理的一致性。这项工作提出了两种基于摩擦的振幅自适应阻尼器，并为未来的实验验证提供了一个起点。