人造地震动反应谱的计算
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摘要
通过人造地震动拟合过程中地震动反应谱不同计算方法所得计算结果的比较 ,分析了常用计算方法———线性积分方法的优缺点 :该方法虽可大大缩短计算时间 ,但在高频带上的误差是无法接受的 .同时指出 :卷积计算方法虽然耗费大量机时 ,但由于它仅涉及数据本身 ,与数据是否连续、可导无关 ,只有采用该方法计算高频带处的反应谱值方可得到正确结果 ,如单纯加大采样率或采用非线性内插的积分方法虽然会使计算精度有所提高 ,但不是解决问题的根本方法 ;如从计算时间角度考虑 ,在计算人造地震动的反应谱值时 ,可分频带计算 ,即高频带处采用卷积方法 ,中、低频带处采用线性积分方法
A discussion is made on the calculated results of earthquake motion response spectrum by different calculation methods. The defect of the linear integral method, commonly used due to its high speed calculation, is pointed out: the error cannot be accepted for the high frequency band. The convolution method is time consuming, however, since it is only related to the data itself, not to the continuum and derivation of data, it seems to be a feasible method to calculate the response spectrum of high frequency. Besides, an analysis shows that enhancing the sampling rate or adopting the nonlinear integral method can only improve the accuracy for middle and low frequency bands, but can not solve the problem ultimately. In consideration of the above factors, it is concluded that the convolution method can be adopted for high frequency band, and the linear integral method for middle and low frequency bands.
A discussion is made on the calculated results of earthquake motion response spectrum by different calculation methods. The defect of the linear integral method, commonly used due to its high speed calculation, is pointed out: the error cannot be accepted for the high frequency band. The convolution method is time consuming, however, since it is only related to the data itself, not to the continuum and derivation of data, it seems to be a feasible method to calculate the response spectrum of high frequency. Besides, an analysis shows that enhancing the sampling rate or adopting the nonlinear integral method can only improve the accuracy for middle and low frequency bands, but can not solve the problem ultimately. In consideration of the above factors, it is concluded that the convolution method can be adopted for high frequency band, and the linear integral method for middle and low frequency bands.
引文
[1]胡聿贤,何训.考虑相位谱的人造地震动反应谱拟合[A].见:廖振鹏主编.地震小区划理论与实践[C].北京:地震出版社,1989.93～106.
[2]大崎顺彦著.地震动谱分析入门[M].谢礼立译.北京:地震出版社,1980.200～250.
[3]蔡长青,沈建文.采样率不足引起的反应谱计算误差[J].地震工程与工程振动,1998,18(3):131～137.
[2]大崎顺彦著.地震动谱分析入门[M].谢礼立译.北京:地震出版社,1980.200～250.
[3]蔡长青,沈建文.采样率不足引起的反应谱计算误差[J].地震工程与工程振动,1998,18(3):131～137.
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