摘要
针对斜拉索非线性振动信号采用粒子滤波（PF）算法进行信号处理与应用。采用有限差分法对索-梁耦合系统非线性动力学方程进行时间维度的离散化处理，获得斜拉索单个位置上振动离散非线性方程；采用最小二乘法对该离散非线性振动方程进行拟合获得粒子滤波所需系统状态方程；利用该状态方程对采集的非线性振动信号进行粒子滤波处理，获得优良的非线性去噪信号及信号稳定跟踪预测功能。经大量仿真实验与大桥斜拉索非线性振动信号实际测试，表明在采样频率足够大情况下， PF算法可有效去除斜拉索非线性振动信号噪声，并提供稳定可靠的信号跟踪与预测技术。
Abstract
To the non-linear vibration signal of inclined cables,the paper use PF theory to process and applicate. primarily, nonlinear dynamic model of the cable-stayed beam coupling system is dispersed in temporal dimension by using the finite difference method, so as to get discrete nonlinear vibration equation of any cable element. The next place, based on least square-fit, fit discrete nonlinear system to get state equations needed by PF theory. Finally, PF theory is used to process collected non-linear vibration signal on the state equations, to get excellent nonlinear denoising signal and its stable tracking and predictive function. By abundant simulation experiment and trial of the practice inclined cables’s nonlinear vibration signal, it turn out that if the frequency of sampling is big enough, PF theory can effectively remove noise from the nonlinear vibration signal, and provide reliable and stable signal tracking and predictive method.
关键词
斜拉索非线性振动 /
有限差分法 /
粒子滤波 /
噪声去除 /
信号跟踪
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Key words
non-linear vibration of inclined cables /
finite difference method /
particle filter theory /
noise removal /
signal tracking
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叶庆卫;袁德彬;王晓东;周 宇.
斜拉索非线性振动信号粒子滤波分析与应用[J]. 振动与冲击, 2013, 32(5): 108-112
YE Qing-wei;YUAN De-bin;WANG Xiao-dong;ZHOU Yu.
Analysis and application of non-linear vibration signal of inclined cables based on particle filter[J]. Journal of Vibration and Shock, 2013, 32(5): 108-112
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