Nonlinear Dynamics, Volume 1
Nonlinear Dynamics, Volume 1
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非线性动力学，第 1 卷
DOI：
10.1007/978-3-319-29739-2_3
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
Renson L
中科院分区：
文献类型：
--
作者：
Renson L
基于控制的延拓是近年来发展起来的一种以受控方式测试非线性动态系统并探索系统参数变化时动态特性的方法。本文采用基于控制的延拓方法，在实验中直接跟踪具有软化-硬化恢复力的单自由度振荡器的稳态周期解。研究了振荡器的强迫响应，并充分表征了强迫幅值和频率。然后在实验中根据振荡器响应与基激励之间的相位正交条件直接提取振荡器的主曲线。
Control-based continuation is a recently-developed approach for testing nonlinear dynamic systems in a controlled manner and exploring their dynamic features as system parameters are varied. In this paper, control-based continuation is used to track directly in the experiment the steady-state periodic solutions of a single-degree-of-freedom oscillator presenting a softening-hardening restoring force. The oscillator forced response is investigated and fully characterized in forcing amplitude and frequency. The oscillator’s backbone curve is then extracted directly in the experiment by following a phase quadrature condition between the oscillator response and the base excitation.