| 抛物线内插反应谱计算方法 |
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| 引用本文： | 蔡长青,沈建文.抛物线内插反应谱计算方法[J].世界地震工程,2001,17(1):87-92. |
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| 作者姓名： | 蔡长青 沈建文 |
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| 作者单位： | 上海市地震局, |
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| 基金项目： | 地震科学联合基金资助项目(196197)；上海市科委基金资助项目(95251207) |
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| 摘 要： | 为减小恢复被采信号所用的内插函数与山农要样定理要求的内插函数ha(t-n.T)之间的误差，提出了用抛物线内插－ha(t-n.T)的二阶近似代替常规的线性内插，为充分减小计算量，本文推导了计算绝对加速度反应谱的连锁公式。通过与常规方法的对比发现，抛物线反应谱算法的计算误差明显降低。在保证同样计算精度的条件下，抛物线算法较常规算法允许更低的采样率。为了将反应谱计算的相对误差控制在5％以下，抛物线算法要求有样率为奈奎斯特频率的5倍，而不是常规算法要求的10倍。
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| 关 键 词： | 采样定理 反应谱 抛物线内插 线性内插 山农采样定理 工程地震 |
| 文章编号： | 1007-6069(2001)01-0087-06 |
| 修稿时间： | 2000年3月10日 |
Calculation of response
spectrum by parabolic interpolation |
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| CAI Chang-qing,SHEN Jian-wen.Calculation of response
spectrum by parabolic interpolation[J].World Information On Earthquake Engineering,2001,17(1):87-92. |
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| Authors: | CAI Chang-qing SHEN Jian-wen |
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| Abstract: | To reduce the error between the interpolation function regaining the sampled signal and interpolation function ha(t-n·T) by Shannon sampling theorem, this paper suggests that the common linear interpolation is replaced by a second order approximation of the parabolic interpolation. To simplify computation, a recursive acceleration response spectrum formula is derived. Comparing the method with common one shows that error of the parabolic algorithm is reduced obviously. To obtainthe the same precision of linear algorithm, parabolic algorithm permits lower sampling rate. If the relative error of response spectrum is required to be less than 5 per cent, the sampling rate of the parabolic algorithm is 5 times of Nyquist frequency while that of linear algorithm is 10 times. |
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