场地相关的非平稳相干函数及其工程应用

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振动与冲击 ›› 2023, Vol. 42 ›› Issue (19) : 144-152.

论文

场地相关的非平稳相干函数及其工程应用

林奇祥1,2,3,4，彭刚1,2,张齐1,2,陈灯红1,2，陈忠5,许维忠5

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Non stationary coherence functions related to sites and their engineering applications

LIN Qixiang1,2,3,4, PENG Gang1,2, ZHANG Qi1,2, CHEN Denghong1,2，CHEN Zhong5, XU Weizhong5

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摘要

该文依据蒙特卡洛方法和连续小波变换得到非平稳相干函数，采用四阶傅里叶级数拟合非平稳相干函数，分析场地条件和站点间距对参数的影响，验证模型有效性，并合成多点地震动。以一输电塔线体系为研究对象，对比分析了一致与非一致地震激励作用下输电塔最大层间位移角，研究结果表明：（1）建立的傅里叶非平稳相干函数模型，能够较好地模拟相干函数非平稳特性及场地变化，且拟合精度较高；（2）场地条件影响傅里叶非平稳相干函数模型的五个参数，站点间距影响傅里叶非平稳相干函数模型的三个参数，应考虑场地条件和站点间距的影响；（3）与一致地震激励作用输电塔最大层间位移角超出限值的极限峰值加速度相比，非一致地震激励作用下的极限峰值加速度较小，表明输电塔较早发生破坏，输电塔线体系地震响应分析应考虑非一致地震激励的影响。

Abstract

The influence of the site condition on the coherency of seismic ground motion was studied. First, based on the simulation of a non-stationary ground-motion field considering the wave-passage effect and site-response effect, the approach used for the estimation of coherency using wavelet transform was presented. Subsequently, the Fourier series non-stationary coherency model was formulated to analyze the effects of the site condition and the inter-station distance. The model was validated and used to generate the seismic ground motions of four points. A transmission tower-line system subjected to earthquakes was taken as a case study. The maximum inter-story displacement angle under uniform and non-uniform ground motion was analyzed. The numerical results show: (1) The Fourier series non-stationary coherency model can reflect the non-stationary and the spatial variation of ground motion with higher fitting precision; (2) The site condition had effects on five parameters in the Fourier series non-stationary coherency model. The inter-station distance had effects on three parameters in the Fourier series non-stationary coherency model. The effect of the site condition and inter-station distance should be considered. (3) Comparing with the limit peak acceleration with respect the maximum inter-story displacement angle under uniform ground motion, the maximum inter-story displacement angle under non-uniform ground motion is lower. So the influence of full spatial variation should be considered in the seismic analysis of transmission tower-line systems.

导出引用

林奇祥1,2,3,4，彭刚1,2,张齐1,2,陈灯红1,2,,陈忠5,许维忠5. 场地相关的非平稳相干函数及其工程应用[J]. 振动与冲击, 2023, 42(19): 144-152

LIN Qixiang1,2,3,4, PENG Gang1,2, ZHANG Qi1,2, CHEN Denghong1,2，CHEN Zhong5, XU Weizhong5. Non stationary coherence functions related to sites and their engineering applications[J]. Journal of Vibration and Shock, 2023, 42(19): 144-152

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