基于小波函数的地震动反应谱与峰值位移拟合方法

采用数值方法合成地震动时，除对反应谱拟合外，对峰值位移的拟合和天然地震动非平稳特性的模拟也具有重要的意义和工程应用前景。本文基于小波函数的拟合方法，提出了一种能够同时合成目标反应谱和峰值位移的地震动加速度时程。数值算例表明:该方法具有较快的收敛速度，可用较少的迭代运算实现对目标反应谱和目标峰值位移的较高精度拟合；相较于现有的其它拟合方法，由于所构造的小波函数具有时域局部特点，该方法合成的地震动能够较好地保留天然地震动的非平稳特性。 

A matching method of ground-motion response spectrum and the peak displacement based on the wavelet function

When using numerical methods to synthesize ground motions, in addition to fitting the response spectrum, the fitting of peak displacements and the simulation of the non-stationary characteristics of natural ground motions also have important significance and engineering application prospects. Based on the wavelet function fitting method, this paper proposes a ground motion acceleration time history that can synthesize the target response spectrum and peak displacement at the same time. Numerical calculation examples show that this method has a faster rate of convergence, and can achieve a higher precision fitting of the target response spectrum and target peak displacement through less iterative calculations. Moreover, compared with other existing methods, the ground motion synthesized by this method can retain the non-stationary characteristics of natural ground motion, due to the local characteristics of wavelet function in time domain.