Forced vibrations of a beam with one-sided amplitude constraint: Theory and experiment
Forced vibrations of a beam with one-sided amplitude constraint: Theory and experiment
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DOI：
10.1016/0022-460x(85)90357-8
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发表时间：
1985-03
影响因子：
4.7
通讯作者：
S. Shaw
中科院分区：
文献类型：
--
作者：
S. Shaw
研究了周期激励下单边振幅约束弹性梁的动力响应。得到了实验结果，并与基于Moon和Shaw [1]工作的梁的单模分析的理论模型给出的结果进行了比较。作者在文献[2-4]中对该模型作了较详细的研究，它是一个具有周期激励和分段线性恢复力的单自由度振子。该单模模型被示出为提供关于实际物理系统的良好的整体定性信息。它预测的多个亚谐共振，周期doubles，和一些混沌制度的实验发现。
An elastic beam with one-sided amplitude constraint subjected to periodic excitation is considered. Experimental results are obtained and compared with results given by a theoretical model based on a single mode analysis of the beam following the work of Moon and Shaw [1]. This model has been studied in some detail by the author in previous works [2–4], it is a single degree of freedom oscillator with periodic excitation and a piecewise linear restoring force. This single mode model is shown to provide good overall qualitative information about the actual physical system. It predicts the multiple subharmonic resonances, period doublings, and some chaotic regimes found experimentally.