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低频振荡模式非线性相关作用的高阶谱非参数直接分析法

, PP. 61-68

Keywords: 低频振荡模式,非线性相关作用,高阶谱,非参数直接法,双谱估计,双相干系数,二次相位耦合

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Abstract:

为克服特征分析法无法反映大干扰下强非线性系统所激励的复合模式,而传统的非线性数值解法存在截断误差和计算效率低的缺点,提出一种用于分析低频振荡模式非线性相关作用的新方法。该方法将高阶谱理论中非参数直接法应用于低频振荡模式分析,通过双谱分析及双相干系数辨识模式间的二次相位耦合信息,能够定量分析模式间的非线性耦合程度,为分析强非线性系统的稳定性及动态特性提供了一种新的有效途径。数值仿真结果验证了该方法的实用性与有效性。

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