The objective of this 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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机译:这项研究的目的是减轻或什至完全消除使用无源非线性吸收器(称为非线性调谐减振器(NLTVA))的机械系统中的极限循环振荡。 NLTVA的一个非常规方面是,其恢复力的数学形式不是先验的,因为大多数现有的非线性吸收器就是这种情况。使用稳定性和分叉分析以解析方式确定NLTVA参数,并使用数值连续性验证所得设计。使用Van der Pol-Duffing主系统对拟议的开发进行了说明。
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