Abstract

In this paper, we study and compare performance and robustness of linear and nonlinear Lanchester dampers. The linear Lanchester damper consists of a small mass attached to a primary system through a linear dashpot, whereas the nonlinear Lanchester damper is linked to the primary mass through dry friction forces. In each case, we propose a semi-analytical method for computing the frequency response, for different values of the design parameters, in order to evaluate the performance and robustness of the two kinds of damper. Overall, it is shown that linear Lanchester dampers perform better than nonlinear damper both in terms of attenuation and robustness. Moreover, the nonlinear frequency response curves, that include the intrinsic non-smooth nature of the friction force, may serve as reference curve for further numerical studies.

中文翻译：

---

线性和非线性Lanchester阻尼器的鲁棒性和性能比较

摘要

在本文中，我们研究和比较了线性和非线性Lanchester阻尼器的性能和鲁棒性。线性Lanchester阻尼器由通过线性阻尼器连接到主系统的小质量组成，而非线性Lanchester阻尼器通过干摩擦力连接到主要质量。在每种情况下，我们都针对设计参数的不同值，提出了一种用于计算频率响应的半分析方法，以便评估两种阻尼器的性能和耐用性。总的来说，从衰减和鲁棒性的角度来看，线性兰切斯特阻尼器的性能优于非线性阻尼器。而且，包括摩擦力的固有非光滑特性的非线性频率响应曲线可以作为进一步数值研究的参考曲线。