单自由度系统地震动力反应的实时计算方法

Real-time algorithm of seismic dynamic response for SDOF system

本文对计算单自由度系统地震动力反应的频域方法和时域方法进行了分析比较,说明了目前时域方法所存在的问题,指出寻找一种在计算精度上与频域方法等价的时域算法是一个值得研究的重要课题。据此,本文提出了一套能较精确模拟单自由度系统传递函数的时域方法,其计算格式采用具有较高计算效率的递归格式。理论分析与数值试验表明,该方法具有精度优于其他时域算法、速度快的特点,可应用于强震观测台网中强地震动参数的实时计算。

Time-domain methods and frequencydomain methods for calculating dynamic response of SDOF system are compared and the limitation of timedomain methods at present is pointed out in this paper. It is a valuable approach to find a timedomain method whose precision is equivalent to that of frequency-domain method. This paper proposes a set of algorithm of seismic dynamic response for SDOF system whose transfer function can simulate the theoretical transfer function well and whose form is recursive. The theoretical analysis and the numerical test show that the recursive formulae have the characters of high precision, quick processing speed and stable results. So, they can be applied to the realtime calculation of strong seismic motion parameters.