Experimental study of steady-state localization in coupled beams with active nonlinearities
Experimental study of steady-state localization in coupled beams with active nonlinearities
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主动非线性耦合梁稳态局域化实验研究
DOI：
10.1007/bf01209024
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发表时间：
1995
影响因子：
3
通讯作者：
A. Vakakis
中科院分区：
文献类型：
--
作者：
M. King;J. Aubrecht;A. Vakakis
本文对具有主动刚度非线性的弱耦合悬臂梁系统的稳态非线性运动约束进行了实验研究。准静态扫频正弦测试周期性地迫使一个梁的频率接近的前两个紧密间隔的模式的系统，和实验的非线性频率响应曲线的某些非线性水平产生。特别令人感兴趣的是强烈的本地化的稳态运动的检测，其中振动能量成为空间上主要局限于直接激发的光束。这样的运动存在于强本地化的反相非线性正常模式（NNMs）的分支从空间扩展NNM的系统的邻域。稳态非线性运动约束是一种线性理论中没有对应的非线性现象，可以应用于机械系统的振动和冲击隔离设计。
SummarySteady-state nonlinear motion confinement is experimentally studied in a system of weakly coupled cantilever beams with active stiffness nonlinearities. Quasistatic swept-sine tests are performed by periodically forcing one of the beams at frequencies close to the first two closely spaced modes of the system, and experimental nonlinear frequency response curves for certain nonlinearity levels are generated. Of particular interest is the detection of strongly localized steady-state motions, wherein vibrational energy becomes spatially confined mainly to the directly excited beam. Such motions exist in neighborhoods of strongly localized antiphase nonlinear normal modes (NNMs) which bifurcate from a spatially extended NNM of the system. Steady-state nonlinear motion confinement is an essentially nonlinear phenomenon with no counterpart in linear theory, and can be implemented in vibration and shock isolation designs of mechanical systems.