A periodically forced piecewise linear oscillator
A periodically forced piecewise linear oscillator
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DOI：
10.1016/0022-460x(83)90407-8
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发表时间：
1983-09
影响因子：
4.7
通讯作者：
S. Shaw;P. Holmes
中科院分区：
文献类型：
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作者：
S. Shaw;P. Holmes
考虑单自由度非线性振荡器。非线性在于恢复力，并且与斜率的单次变化呈分段线性关系。这种振荡器为机械系统提供了模型，其中部件进行间歇接触。还考虑了一种斜率接近无穷大的极限情况，即冲击振荡器。谐波、次谐波和混沌运动被发现存在，并分析了导致它们的分叉。
A single-degree of freedom non-linear oscillator is considered. The non-linearity is in the restoring force and is piecewise linear with a single change in slope. Such oscillators provide models for mechanical systems in which components make intermittent contact. A limiting case in which one slope approaches infinity, an impact oscillator, is also considered. Harmonic, subharmonic, and chaotic motions are found to exist and the bifurcations leading to them are analyzed.