%0 Journal Article %T 多维多点非平稳地震波合成<br>Non-Stationary Synthesis of Multi-Dimensional and Multi-Point Seismic Waves %A 贾宏宇 %A 陈航 %A 张克跃 %A 康锐 %A 郑史雄< %A br> %A JIA Hongyu %A CHEN Hang %A ZHANG Keyue %A KANG Rui %A ZHENG Shixiong %J 西南交通大学学报 %D 2017 %R 10.3969/j.issn.0258-2724.2017.04.003 %X 为了所合成的地震波较为真实地体现实际地震动的多维性、空间性及非平稳性，采用三角级数方法合成了多维多点非平稳地震波.首先，将设计反应谱转化为当量功率谱，考虑地震动的多维性，将功率谱密度函数矩阵由一维扩展到三维；其次，考虑地震动非平稳性，添加包络函数和梯形窗口连接，利用Fourier变换合成了非平稳地震波；再次，将各激励点各方向的地震动时程逆转换为加速度反应谱，且与目标反应谱对比，采用频域方法迭代修正时程幅值，得到满足精度要求的地震动时程曲线.最后，将目标拟合反应谱与设计反应谱相比较，验证合成地震波的精度，结果表明：个别点超过10.00%的拟合误差（最大为16.68%），但总体上拟合误差不超过8.00%（未修正前为18.00%）.<br>： To better understand the realistic spatial behaviour and the multi-dimensionality and non-stationary nature of seismic ground motions, the trigonometric-series method was used to generate and synthesize the multi-dimensional and non-stationary seismic waves in the present work. Firstly, the design response spectrum was converted to an equivalent power spectrum. The power-spectrum density matrix was then extended from one dimension to three dimensions to account for the multi-dimensionality of the seismic ground motions. Subsequently, the envelope function and the trapezoidal window connection were employed to consider the non-stationary nature of the seismic ground motions and a Fourier transform was used to generate the time history of the spatial seismic waves. The response spectrum of a newly generated wave was compared with the target response spectrum at every excitation direction to revise the amplitude of the generated wave in the frequency domain. Finally, the fitted and the designed spectrum were compared to verify the accuracy of the synthetic seismic waves. Some important conclusions have been drawn from the comparison that the error in the fitted spectrum partially exceeds 10.00% (maximum 16.68% ); however, the overall error of fitting is not beyond 8.00% (18.00% without modification) %K 多维多点 %K 非平稳 %K 反应谱 %K 功率谱矩阵 %K 大跨度结构 %K < %K br> %K multi-dimensional and multi-point %K non-stationary %K response spectrum %K power-spectrum density matrix %K large span structure %U http://manu19.magtech.com.cn/Jweb_xnjd/CN/abstract/abstract12453.shtml