利用非线性调谐吸振器抑制极限环振荡
Suppression of Limit Cycle Oscillations using the Nonlinear Tuned Vibration Absorber
摘要：
本研究的目的是减轻，甚至完全消除，极限环振荡的机械系统使用被动非线性吸振器，称为非线性调谐吸振器（NLTVA）。NLTVA的一个非常规方面是其恢复力的数学形式不是先验强加的，因为它是大多数现有的非线性吸振器的情况。NLTVA参数是使用稳定性和分叉分析来解析确定的，并且使用数值延拓来验证所得到的设计。所提出的发展，说明使用范德波尔-达芬主系统。
英文摘要：
The objective of the present study is to mitigate, or even completely eliminate, the limit cycle oscillations in mechanical systems using a passive nonlinear absorber, termed the nonlinear tuned vibration absorber (NLTVA). An unconventional aspect of the NLTVA is that the mathematical form of its restoring force is not imposed a priori, as it is the case for most existing nonlinear absorbers. The NLTVA parameters are determined analytically using stability and bifurcation analyses, and the resulting design is validated using numerical continuation. The proposed developments are illustrated using a Van der Pol-Duffing primary system.
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