Period Doubling and Chaos in Unsymmetric Structures Under Parametric Excitation
Period Doubling and Chaos in Unsymmetric Structures Under Parametric Excitation
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参数激励下不对称结构的倍周期和混沌
DOI：
10.1115/1.3176195
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发表时间：
1989
期刊：
影响因子：
--
通讯作者：
J. Hsieh
中科院分区：
文献类型：
--
作者：
W. Szemplinska;R. Plaut;J. Hsieh
研究了单自由度参数激励系统的非线性振动问题。刚度涉及二次和三次非线性，并模拟了浅拱或屈曲机构。假设激励频率接近系统固有频率的两倍。应用近似解析技术分析了一些极限环和行为的过渡
Nonlinear oscillations of a single-degree-of-freedom, parametrically-excited system are considered. The stiffness involves quadratic and cubic nonlinearities and models a shallow arch or buckled mechanism. The excitation frequency is assumed to be close to twice the natural frequency of the system. Approximate analytical techniques are applied to analyze some of the limit cycles and transitions of behavior