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本文提出了利用时间序列分析,对桥梁结构的模态参数:固有频率、阻尼系数和振型进行识别的原理。首先推导了如何将一个振动系统的运动微分方程转换到一个自回归滑动平均(ARMA)模型,并得出ARMA模型的特征参数和振动系统的模态参数之间的定量关系;然后论述了怎样由桥梁振动响应的时间序列建立ARMA模型。并对模态参数的计算和计算机的处理步骤作了详细说明。本文以沪杭线41~#桥的实测数据为例,在MC-68000微型机上进行了实际处理。计算表明本文提出的方法能取得良好的结果。
This paper presents the principle of using time series analysis to identify modal parameters of bridge structure: natural frequency, damping coefficient and mode shape. Firstly, how to convert the differential equations of a vibrating system into an autoregressive moving average (ARMA) model is deduced, and the quantitative relationship between the characteristic parameters of the ARMA model and the modal parameters of the vibrating system is derived. Then, ARMA model was established by time series of bridge vibration response. The calculation of modal parameters and computer processing steps are described in detail. In this paper, Shanghai-Hangzhou line 41 ~ # bridge measured data, for example, on the MC-68000 microcomputer on the actual treatment. Calculations show that the proposed method can achieve good results.