Under harmonic wave excitation, the dynamic response of a bilinear SDOF system can be expressed by the Hilbert spectrum. The Hilbert spectrum can be formulated by (1) the inter-wave combination mechanism between the s...Under harmonic wave excitation, the dynamic response of a bilinear SDOF system can be expressed by the Hilbert spectrum. The Hilbert spectrum can be formulated by (1) the inter-wave combination mechanism between the steady response and the transient response when the system behaves linearly, or (2) the intra-wave modulation mechanism embedded in one intrinsic mode function (IMF) component when the system behaves nonlinearly. The temporal variation of the instantaneous frequency of the IMF component is consistent with the system nonlinear behavior of yielding and unloading. As a thorough study of this fundamental structural dynamics problem, this article investigates the influence of the amplitude of the harmonic wave excitation on the Hilbert spectrum and the intrinsic oscillatory mode of the dynamic response of a bilinear SDOF system.展开更多
针对多变量预测模型的模式识别(Variable Predictive Model Based Class Discriminate,VPMCD)方法在参数估计中存在的缺陷,采用分位数回归(Quantile Regression,QR)代替原方法中的最小二乘法进行参数估计,克服最小二乘回归中强假设、易...针对多变量预测模型的模式识别(Variable Predictive Model Based Class Discriminate,VPMCD)方法在参数估计中存在的缺陷,采用分位数回归(Quantile Regression,QR)代替原方法中的最小二乘法进行参数估计,克服最小二乘回归中强假设、易受异常值影响等问题,以此提高模式识别的精度。因此,提出了基于分位数回归的多变量预测模型模式识别方法(Quantile Regression-Variable Predictive Mode Based Cass Discriminate,QRVPMCD)。采用局部特征尺度分解(Local Characteristic-Scale Decomposition,LCD)方法对滚动轴承振动信号进行分解得到若干个单分量信号,提取单分量信号的Hilbert谱奇异值组成故障特征向量,并以此作为QRVPMCD的输入进行滚动轴承故障诊断。对不同工作状态和故障类型下的滚动轴承振动信号进行了分析,结果表明了该方法的有效性。展开更多
基金National Natural Science Foundation of China Under Grant No.50278090
文摘Under harmonic wave excitation, the dynamic response of a bilinear SDOF system can be expressed by the Hilbert spectrum. The Hilbert spectrum can be formulated by (1) the inter-wave combination mechanism between the steady response and the transient response when the system behaves linearly, or (2) the intra-wave modulation mechanism embedded in one intrinsic mode function (IMF) component when the system behaves nonlinearly. The temporal variation of the instantaneous frequency of the IMF component is consistent with the system nonlinear behavior of yielding and unloading. As a thorough study of this fundamental structural dynamics problem, this article investigates the influence of the amplitude of the harmonic wave excitation on the Hilbert spectrum and the intrinsic oscillatory mode of the dynamic response of a bilinear SDOF system.
文摘针对多变量预测模型的模式识别(Variable Predictive Model Based Class Discriminate,VPMCD)方法在参数估计中存在的缺陷,采用分位数回归(Quantile Regression,QR)代替原方法中的最小二乘法进行参数估计,克服最小二乘回归中强假设、易受异常值影响等问题,以此提高模式识别的精度。因此,提出了基于分位数回归的多变量预测模型模式识别方法(Quantile Regression-Variable Predictive Mode Based Cass Discriminate,QRVPMCD)。采用局部特征尺度分解(Local Characteristic-Scale Decomposition,LCD)方法对滚动轴承振动信号进行分解得到若干个单分量信号,提取单分量信号的Hilbert谱奇异值组成故障特征向量,并以此作为QRVPMCD的输入进行滚动轴承故障诊断。对不同工作状态和故障类型下的滚动轴承振动信号进行了分析,结果表明了该方法的有效性。
