改进的胡聿贤-欧进萍地震地面运动模型

The modified Hu Yuxian-Ou Jinping model of the earthquake ground motion

为研究地震地面运动模型的加速度功率普的最佳表达式,在分析金井清模型、胡聿贤模型和欧进萍模型的基础上,提出了改进的胡聿贤-欧进萍地震地面运动模型,运用拉普拉斯变换对根据此模型建立的运动方程进行了数学推导,得到了改进的胡聿贤-欧进萍模型的地震地面运动的加速度谱表达式.研究结果表明:改进胡聿贤-欧进萍模型的位移、速度和加速度功率谱在零频处不存在奇异点,且所对应的位移、速度、加速度方差都能求出有限值,最大程度的反映了地震地面运动的真实情况.

In order to study the best expression of the acceleration power of the earthquake ground motion model, an improved Hu Yuxian-European Virtual Earthquake Ground Motion Model was proposed on the basis of analysis of Kimi Kiyo model, Hu Yuxian model and Ou Jinping model. The mathematical derivation of the equations of motion was carried out by using Laplasse transformation and obtained the acceleration spectrum of the seismic ground motion of the Ou Jinping Hu Yuxian model. Research results show that the displacement, velocity and acceleration power spectrum of the Ou Jinping Hu Yuxian model are not singular points at zero frequency; the corresponding displacement, velocity, and acceleration variance which in maximum degree satisfy the real situation of the earthquake ground motion can be obtained from the finite value.